In the graph, the three canonical topologies of a four-dimensional Universe describe the informative “brain,” reproductive body and energetic membrane of all the superorganisms of the Universe.
9. The Non-Euclidean Mathematics of Fractal Organisms
5 postulates of non-Euclidean geometry, of which the most important is the one – definition of a fractal point with parts, which is in itself a “world” resume the ultimate meaning of fractal geometry.
Those 5 logic and mathematical postulates, which culminate the evolution of the languages of perception of human thought, define the unit of reality as a fractal point, which observed in all its details is in itself a World, which contains within it all the mathematical forms of the entire cosmos. This can be deduced in a logic manner, through the equation of a mind, which can map out as a mirror, the whole Universe we perceive; in the infinitesimal mirror of the brain. Yet a more mathematical demonstration comes from topology. Why?
The 3 topologies of all 4-dimensional worlds.
Because a 4-dimensional fractal point is made of the 3 only possible topologies that exist in a 4-dimensional Universe; which are drawn in the previous graph:
- The sphere or Riemann membrane, which is the external surface of the point, the skin and limbs and any of its multiple self-similar entities, some of which are drawn at the bottom of the graphic. In any system of the Universe, the membrane acts as the energetic, external surface of the “informative, point” through which the point absorbs energy from the external Universe, to process it into information.
- The toroid, which is the body or reproductive region (seen as a cyclical path of space-time), which fills up the space-time between the nuclei and the external membrane. It is the zone where the reproductive organs of the system exist, and where the information of the system is born.
It must be noticed that according to Klein, the topologist that studied better this type of surface, the toroid is NOT really a fixed form of space, but we must consider those cycles’ motions and add the parameter of speed. Thus Klein introduces the Paradox of Galileo to describe the Non-Euclidean geometries of the Universe as we have done in this book. Cycles are mere static perceptions of motions and we must always consider distances as space-time distances. So we say “London is at 4 minutes distance” because we consider distance and speed together. This is ultimately the meaning of time in physics, a measure of the speed of motion as a way to gauge space-distances: v=s/t.
- The double ring, or convex, hyperbolic surface, with maximal form, or informative center of any entity of the Universe, the point in which the fractal reproduction of information reaches its zenith. It is the same form than the toroid but reproduced into a higher content of information, by doubling the initial form.
The fractal formalism of the 3 topologies of the Universe.
Those 3 topological parts, specialized in energy, information and reproductive functions can be written as the 3 elements of the fractal equation, TiEi:
- Max Ti: the inner, dual center, corresponding to convex topologies (left), is made with 2 cyclical forms. It is the dominant informative topology of any fractal organism, described by Belgrami in the XIX c. as a conical form with “height” with negative curvature.
- : A middle, reproductive zone, described by Klein as a disk, made of quanta in cyclical movements that communicate energy and information between the inner and outer zones.
- Max. E: An outer membrane of energy, described by Riemann’s spherical geometry.
Those 3 non-Euclidean geometries structure the inner geometry and functions of the organs of any species, proving the homology of all space-time fields in the Universe. In the graph, an animal, an embryo, an electromagnetic flow, a galaxy, a proton, a seed, a planet, a cell and a boson display the 3 topological zones of a fractal point, each of them performing one of the 3 functions/arrows of space-time.
We shall use them later to describe the organic structure of the galaxy. Since the black hole has a hyperbolic, informative topology, the Halo of the galaxy has a Riemannian, spherical form, and the stars in the intermediate region, which feed the dark matter of black holes and reproduce the atoms of life, turn in cyclical, toroid paths around the central black hole.
The 3 topologies in physical organisms.
Since with those 3 topologies we can explain the essential evolution of the cyclical events of physical systems, as a progression from external, lineal forces of energy into cyclical motions that finally enter the double ring or “singularity” of increasing height, through which they are again expelled to the Universe, as magnetic flows in quantum atoms or dark energy in black holes..
It all starts in a surface of energy that “curves” itself into self-reproductive cyclical motion, which become smaller, faster and reproduce into new fractal forms, till reaching the center. Yet those forces will never reach as quantum physicists believe the point of infinity; because finally the cycle will not be able to compress more, and so it will fractalize into new cycles in the informative dimension of height till it becomes a tube of pure height expelled upward as a thin line. And so the center, where classic physicists find infinity will remain always a silent empty vacuum, the eye of the hurricane.
Physical space-time is the simplest world where the most basic morphologies play that same process of transformation of external energy that converges and reproduces cycles, attracted by a Non-Euclidean point, charge or mass:
A flow of forces converges toward the “event horizon” or external membrane of the point (the Schwarzschild radius of the black hole or the Bohr Radius of the atom). Beyond this membrane, the flow of forces starts a process of creative formal warping, as it rotates at increasing speed and also increases its frequency (height dimension), in each cycle. For that reason a bidimensional vortex stores more information than a lineal frequency, as it adds a new dimension of form. So you obtain a cyclical wave of high frequency, a bidimensional flow of energy and information that accelerates toward the center, becoming a convex topology, whose simplest forms are drawn in the previous graph And finally in its hyperbolic center, called in topology a Belgrami cone, it is shot up through the poles as a magnetic flow in charges or a flow of dark energy in masses, invisible to us, but observed in quasars. Those flows of magnetism or dark energy, once again start a cycle of information, warping themselves into light under c-speed. Galactic black holes also emit its fractal parts, quark vortices that become a seminal flow of protonic matter that might give birth to a new galaxy, as it is observed in some Galaxies (M83).
It is what will happen to the electroweak matter of the Earth, when the black hole forms and absorbs us, emitting a jet of dark energy and dark matter by its poles.
The 3 topologies in biological organisms.
In the graph, below, we observe other non-Euclidean points created by those 3 only canonical topologies that can adopt multiple forms by deformation, but suffice to construct all the shapes of our Universe. Indeed, a topology is deformable. So a sphere can become any shape, as long as it is not torn up, to enclose a reproductive and informative zone. So your skin is a sphere in topology, which encloses the complex forms of your reproductive organs. Those organs are Klein cycles of great complexity that exchange energy and information. Finally, in a human being, the brain is composed of two hemispheres, which are hyperbolic, convex, warped forms, corresponding to the informative dual ring of a Belgrami cone, the external skin is a deformation of the sphere, and in between we are invaginated by all kind of cycles that transfer energy and information from the outer world to the brain. The hyperbolic, highly warped brain, is a “double” toroid, self-similar to those cycles: a double image of those organs, one internal that controls them and one external that projects the drives of the 3 physiological networks of the body into the wills of existence: your desire for more energy, information and reproduction.
And so the brain hosts more information in lesser space than the body, as a mirror of its functions. Man though, while responding to the same canonical topologies in his organs, is by far the most complex being of information known in the Universe. And so his topologies are immensely more complex than the simpler physical particles and its transformations just described. We studied in our books on physiology and biology the enormous beauty and complexity of the human topological world, so we shall hardly consider it in this book.
And so those 3 relative forms of energy (external membrane), information (dual ring) and reproduction (the cyclical paths that exchange energy and information between the external membrane and the inner convex form), can be found in any system of reality. It is a paradox of the inverse properties of energy and form, that the biggest forms in space are the simplest, to the point that the perceived universe seems to be merely a flat surface filled with galactic vortices – the simplest of all forms.
10. The Five Postulates of Non-Euclidean Fractal Geometry
Those topologies of a 4-dimensional world are also described by the 5 postulates of Non-Euclidean Fractal Geometry, which are:
1st Postulate: “A point is a fractal form with an inner content of temporal energy.”
2nd Postulate: “A line is a wave of fractal points.”
3rd Postulate: “2 fractal points are self-similar, when their inner temporal energy is equal.”
4th Postulate: “A plane is a network that joins points through flows of temporal energy.”
5th Postulate: “A fractal point has inner apertures to the world, called senses through which multiple waves of energy and information can cross.”
Those five postulates define a point with parts, a line/wave, a plane/field of space/time and the logic laws that explain the interactions of those points; the 3rd postulate that defines the relative equality=self-similarity between universal forms, and the 5thpostulate that explains the processes of absorption of energy and information that maintain invariant the form of the point/entity in an ever changing, dynamic Universe.
It means that fractal, Non-E Geometry achieves a long-sought goal, which Plato, Spinoza and Leibniz tried to realize with the simpler Euclidean geometry: to unify the logic and mathematical principles of the Universe. Since the 3rd and 5th Non-Euclidean postulates are logic, the 1st and 2nd are geometric and the 4th, the nature of a topological plane or network of non-E points is both logic and geometrical as it defines the superorganism.
In that sense, their order should be 1, 5, 2, 3rd and 4th. As the 1st and 5th define a Non-E point from a mathematical and logic perspective, the 2nd and 3rd also define a line-wave from a mathematical and logic perspective, and the 4th integrates them all, defining a plane or scale of existence.
Some obvious consequences of those new postulates are:
- 1st Postulate: The first correction we introduce in Euclidean geometry is to increase and relativize the dimensions of a point to fit its “inner energy and information.” Since all points have either zero dimensions, when we consider them from the perspective of the upper st+1 Plane in which they perform a lineal, energetic function; or 3 dimensions/networks/ functions when we consider them from the inner perspective of the point. This is the case even in the smallest of all planes, the theoretical plane of Strings, made of points with parts, with volume – since we require 10 dimensions to describe them. A paradox that can only be resolved if we consider those strings to be strings of points of fractal geometry with inner dimensions.
Riemann calls a Non-Euclidean Geometry to a geometry made of points with cyclical movements. Einstein’s work was a first step to improve the erroneous postulates of Euclidean geometry, specifically the definition of a point made by the 5th postulate of geometry, paving the path to this book.
Unfortunately Einstein didn’t go further, adapting the other 4 Euclidean postulates to the new unit of Geometry – a point with volume. We completed his work, to be able to define the 2 planes of physical forces, the plane of gravitation and electromagnetism, or any system in which several planes of space-time co-exist together (as in the case of a human being extended from atomic to social planes of cyclical existence). In all those systems, planes are made with “cellular points” which are Riemannian spheres with volume, which form “lines” which are waves between points that exchange energy and information and “planes,” which are organs of self-similar points that process energy or information in parallel networks.
Thus the 5 Postulates of Non-E Geometry vitalize and explain the Universe as a series of networks of energy and information of self-similar cellular points.
Since the line and the plane acquire volume and become self-similar to the commonest forms of the Universe, which are the wave/line and any organ of cells with a 3D volume.
- 2nd postulate: When we observe a one-dimensional line as a “form with inner parts” it becomes then a 4-dimensional wave made of cyclical points. Hence in quantum theory we say that any particle in movement has associated a wave. And when we observe a ray of light in detail it becomes a 4-dimensional wave with electric height and magnetic width, often exchanging flows of energy and information in action-reaction processes of communication between bigger points. This solves the wave/particle duality, as all lines are waves traced by a point with inner volume. Further on since all lines have volume, they carry information and so all forces can in fact act both as a source of energy and as a language of information.
- 3rd Postulate: Equality is no longer external but internal and never absolute but relative. Forms are self-similar to each other, which allow defining different relationships between organic beings, according to their degree of self-similarity. The 3rd postulate is key to explain the behaviour of particles as the degree of self-similarity increases the degree of communication between beings, which ranges from: 1) Reproductive functions in case of maximal self-similarity or complementarity in energy and form; Ei=eI; 2) to social evolution, when points share a common language of information, i=i; to 3) hunting, when they share equal energy E=E; to 4) Darwinian devolution when forms are so different that cannot understand each other’s information and feed into each other.. Yet because self-similarity is internal, external similarity allows games, such as camouflage and capture, invented racial differences, etc. The logical richness of the 3rd Postulate does not imply it lacks geometrical elements: Self-similarity implies parallel motions in herds. Darwinian behaviour implies perpendicular confrontations. Finally, absolute self-similarity brings bosonic states, which happen more often to simpler species like quarks and particles that can form a bosonic condensate as they do in black holes.
- 4th postulate: because a plane has volume is in fact a cellular, organic topography and so the meaning of a plane of space-time becomes now clear: it is a world, an organism in itself with a volume given by the relative point/beings that occupy the plane.
Thus, a plane becomes a real topography made of points with volume, extended as a cellular surface. We can observe it merely in its surface as a bidimensional membrane of information (for example your skin, or the screen of a computer made of pixels, or the sheet of this book). Or we can consider the 3-dimensional inner structure of its points and then it becomes a network with inner motions, as those points will form a lattice in which they communicate lineal flows of energy and information that maintain the lattice pegged. Often 2 topological planes of energy and form combine to create a 4-dimensional organism. Such is the most common structure of the Universe, a 4-dimensional World, which is a Universe in itself, made of self-similar cells or networks of points that constantly exchange energy and information within the ecosystem in which it exists.
- 5th postulate: It define points as informative knots or “eyes,” minds of information that absorb a flux of forces used by the point to “perceive” a relative world. A non-Euclidean point corresponds then to our concept of a mind that gauges reality with a certain force, similar to the concept of a monad in Leibniz relativistic space-time. In words of Einstein: “a point of space is a fixed frame of reference.”
FRACTAL LOGIC: THE UNIFICATION OF SCIENCE
All sciences share the same laws of duality and organicism. Yet the proportion of energy and information of the species each science studies varies, since the Universe displays a hierarchical arrow of growing informative time, from the simplest forms of mathematical space (and minimal informative content), to the complex information of its most evolved organisms (with minimal geometrical regularity). Thus, mathematics is the language of the simplest spatial forms. Hence it is used to describe Physical entities, the simplest forms of the Universe – or those which are made of dark matter and energy we cant observe and so seem very simple to us (black holes and galaxies). On the other extreme,. Biology and history, which study the organisms of which we have more information – mankind – are better described with the verbal language, which better expresses thanks to its temporal verbs, the 3 dimensions of time, which clocks and the simple tools of Geometry cannot describe.
In the graph, depending on the species and plane of space-time each science studies, it will analyze species with different proportions of space & time. The science that studies the simplest scales of maximal content of energy and space, Physics, is for that reason tendencially lineal and based in spatial geometry and its self-similar science of algebra; but has been unable to understand time beyond its spatial use to describe movement in space (Galilean and Einsteinian definition of time as a parameter of speed, s=vt=ct. Yet far more important to the human kind is the science of biology that explains how those simplest morphologies have mutated, evolved and changed, bending the original space into complex morphologies of ‘time’. Biology is however a complex science, made of two subdisciplines ‘bio’, the study of life and its wills of reproduction, information and feeding, and logic, the science of time, which studies the interaction of those 3 wills/arrows of existence and its cycles. In that sense, if there is a primary science of God, it would be Biology and specifically Logic, as God, the mind of the Universe that creates its forms, is indeed, time, Tao, the sum of all the temporal cycles of existences of all its beings and its common laws.
Both together mathematics and logic are the foundation of any combined study of space and time, and their postulates can be applied to any relative ±st scale of the Universe, where the same invariant geometries and logic functions will be repeated. So in the 4th part of this book, we will lay down the combined postulates of mathematics and Logic, which we have called the Postulates of illogic Fractals – as they resume the space and time laws that rule the events and actions of those illogic fractals in his search for energy and form.
10. The 5 postulates of Non-Euclidean Geometry.
According to the Correspondence Principle a new scientific Theory has to include all previous ones. So happens with fractal space-times, which includes as specific cases all other topologies of space-times and its fundamental units, the Non-Euclidean Point, used by Einstein, as descriptions of the more complex structure of a 3 dimensional Fractal Point, whose obvious characteristic is to have in/form/ation, an inner content, which becomes apparent in a Universe made of multiple scales of size, as we come closer to the point and observe it in detail. Those fractal points with volume are descried by the 5 classic Postulates of Non-Euclidean Geometry adapted to fractal space and cyclical time. We will call this new, more evolved Geometry of space/time that includes all previous geometries as simplified cases of the more complex structure of the Universe in multiple scales, ‘Fractal, Logic Geometry or ‘Fractal Logic’ as each postulate can be interpreted both, in geometric terms, as the definition of an essential geometry of space/time and in logic terms, as the description of a fundamental arrow or cycle of existence of a Universal being.
The 5 postulates of this new, wider Logic, Fractal Geometry are:
Postulates of Fractal Geometry:
1st Postulate: ‘A point is a fractal form with an inner content of temporal energy.’
2nd Postulate: ‘A line is a wave of fractal points.’
3rd Postulate: ‘2 fractal points are self-similar, when their inner temporal energy is equal.’
4th Postulate: ‘A plane is a network that joins points through flows of temporal energy.’
5th Postulate: ‘A fractal point has inner apertures to the world, called senses through which multiple waves of energy and information can cross.’
Thus, the 5 postulates of Fractal Logic define a point with parts, a line/wave, a plane/field of space/time and the logic laws that explain the interactions of those points; the 3rd postulate that defines the relative equality=self-similarity between universal forms, and the 5th postulate that explains the processes of absorption of energy and information that maintain invariant the form of the point/entity in an ever changing, dynamic Universe.
Some of the obvious consequences of those new postulates are:
- 1st Postulate: The first correction we introduce in Euclidean geometry is to increase and relativize the dimensions of a point to fit its ‘inner energy and information’. Since all point have either zero dimensions, when we consider them from the perspective of the upper st+1 Plane in which they perform a lineal, energetic function; or 3 dimensions/networks/ functions when we consider them from the inner perspective of the point. This is the case even in the smallest of all planes, the theoretical plane of Strings, made of points with parts, with volume – since we require 10 dimensions to describe them. A paradox that can only be resolved if we consider those strings to be forms of fractal geometry with inner dimensions.
Einstein’s analysis of the bent geometry of space-time didn’t complete what was logic, had he closed that curve into cycles: the definition of a sum of cycles of time as what Riemann calls a Non-Euclidean Geometry: a geometry made of points with cyclical movements. Einstein’s work was as far as taken the 5th new postulate of Riemann’s Geometry but not the entire Riemannian Geometries more akin to our ideas of a fractal space, made of dynamic cycles. Einstein started studying the geometrical structure of space-time. in the belief that the key to that structure were mathematical. So his first step was to improve the erroneous postulates of geometry, specifically the definition of a point made by the 5th postulate of geometry, paving the path to this book.
Unfortunately Einstein didn’t go further, adapting the other 4 Euclidean postulates to the new unit of Geometry – a point with volume. We shall now complete his work, in order to be able to tackle the definition of the 2 planes of physical forces, the plane of gravitation and electromagnetism, or any system in which several planes of space-time seem to co-exist together (as in the case of a human being extended from atomic to social planes of cyclical existence). To that aim, after defining a point as a sphere with volume, the line and the plane acquire volume and become self-similar to the commonest forms of the Universe, which are the wave/line and any entity with a 3D volume or ‘topography’
- 2nd postulate: When we observe a one-dimensional line as a ‘form with inner parts’ it becomes then a 4-dimensional wave made of cyclical points. Hence in quantum theory we say that any particle in movement has associated a wave. And when we observe a ray of light in detail it becomes a 4-dimensional wave with electric height and magnetic width, often exchanging flows of energy and information in action-reaction processes of communication between bigger points. The solution of the wave/particle duality as all lines are waves traced by a point with inner volume. Further on since all lines have volume, carry information and so all forces can in fact act both as a source of energy and as a language of information.
- 3rd Postulate: equality is no longer external but internal and never absolute but relative. Forms are self-similar to each other, which allow to define different relationships between organic beings, according to their degree of self-similarity, from reproductive functions in case of maximal self-similarity to social evolution, to hunting, Darwinian devolution when forms are so different that cannot understand each other. Yet because self-similarity is internal, external similarity allows games, such as camouflage and capture, invented racial differences, etc.
- 4th postulate: because a plane has volume is in fact a cellular, organic topography and so the meaning of a plane of space-time becomes now clear: tit is a world in itself with a volume given by the relative point/beings that occupy the plane.
Thus, a plane becomes a real topography made of points with volume, extended as a cellular surface. We can observe it merely in its surface as a bidimensional membrane of information (for example your skin, or the screen of a computer made of pixels, or the sheet of this book). Or we can consider the 3-dimensional inner structure of its points and then it becomes a 5-dimensional network with inner movement, as those points will form a lattice in which they communicate flows of energy and information that maintain the lattice pegged.
- 5th postulate: we define points as informative knots or relative ‘eyes’, relative minds of information that absorb a flux of forces used by the point to ‘perceive’ a relative world. A non-Euclidean point correspond therefore to our concept of a mind, similar to the concept of a monad in Leibniz relativistic space-time. In words of Einstein: ‘a point of space is a fixed frame of reference’. Such is the most common structure of the Universe, a 5-dimensional World, which is a Universe in itself, made of self-similar cells or networks of points that constantly exchange energy and information within the ecosystem in which it exists.
The new postulates of fractal geometry describe with more accuracy all type of space-time fields belonging to all kind of sciences, from the physical space/time of atoms (described by quantic Physics) to that of galaxies (that Einstein described in his General Theory); from the organic space/time of cells and bodies to the historical space-times of nations. In this manner we complete the Non-Euclidean geometry developed in the XIX century by Riemann and used by Einstein to describe gravitational space-time, by adding the concepts of fractal geometry developed in the XX century, creating a fractal geometry of space-time that includes all previous ones. Thus, according to the Correspondence Principle, we establish a hierarchy among all those geometries that stretches from the simplest Euclidean geometry to fractal space-time, which includes all others as particular cases and it is in itself a partial image of the total information about space-time called reality, always bigger than any ‘linguistic’ image we made of it:
63. Euclidean Mathematics (Light- Space)> Classic Non-Euclidean geometry> (Gravitational Plane) > Fractal space-times (all scales) > Total Reality
It is worth to notice the self-similarity between the 4+1 postulates of fractal geometry (as the 5th is redundant with the 1st) and the 4 dimensional arrows of the universe. This is not casual since all languages of space-times depict in self-similar ways the 4D Universe. Thus if the 1st postulate define the point or fundamental unit of the Universe, the 2nd postulate defines a line or flow of communication of energy and information between 2 points; the 3rd postulate defines those lines as either energetic, destructive or self-reproductive processes, and finally the 4 postulate defines the different st-planes or Planes of existence of a certain Universe. In this manner the 4 dimensions of space-time are explained by the 4 postulates of geometry and logic, which represent all those space-times in the mind of a human being.
In organic terms, those 5 postulates of fractal Geometry describe how points become parts of social webs, which self-organize fractal planes made of networks of points, which emerge as cellular units of a higher fractal space-time or superorganisms.
According to the Principle of Correspondence and Relativity, those different geometries are relative descriptions of the same fundamental structure of the Universe, the point with parts and its more complex social forms. Those points can be studied with any of those geometries, depending on which region and degree of detail we focus in: when we see those points far away we describe them as points with breath, with the tools of Euclidean geometry. When we come closer to them, we see only its external membrane that constantly self-generates information (Holographic principle) and Mandelbrot explained with the tools of fractal geometry (so we find in those membranes the information of black holes, the senses of organisms, the seminal replicas of reproductive beings and the sets of mathematical fractals). Yet when we penetrate the point is when things really get interesting, since we are then in a curved, moving space, described by Non-Euclidean Geometries, which Einstein partially used to describe gravitational space. Thus since we all know Euclidean Geometry – the far away vision – and we already talked extensively on fractal, reproductive geometries that take place in the external membrane of those fractal points, we shall concentrate now in the description on the Postulates of Non-Euclidean geometries, which define the geometrical and logical properties and the 3 regions of any fractal ±st-point or super-organism.
The meaning of those postulates is clear: we are all made of spatial energy and temporal information, where a space is the fixed perception of a series of moving cycles of time, seeing in the simultaneity of the mind. In his famous thought experiment with trains, Einstein proved that the observer could only see a ‘present, simultaneous volume of time’ from the past, different from the volume of time seen by a second observer. In other words, Euclidean geometry sees present spaces, which are however a sum of cyclical times, or time volumes in constant movement. This is what Riemann discovered when he invented Non-Euclidean Geometries in the XIX c.: Euclidean space is a simplification of a moving space, made of points with volume that constantly trace cycles. If we ad to that formulation of a vital, moving space, a fractal structure in multiple planes, we achieve a more accurate description of what really any living space is: a series of points tracing cycles within the discontinuous limit of an external membrane that separate that space-time from all other space-times. Yet each of those space-times will have an inner, cyclical form, will have inner movement and will be structured in fractal planes. The first properties of that space were described by Non-Euclidean geometries in the XIX c. The second set of properties were described by Fractal Mathematics in the XX c. Now, Fractal Logic puts both together and formalizes fractal spaces and cyclical times, giving science a more advanced model of spatial geometry and temporal information to describe any entity of the Universe made of space and time which obeys those laws of Fractal logic.
THE 1ST POSTULATE.
POINTS WITH PARTS, ITS 3 FRACTAL REGIONS.
In a 3-D Universe there are only 3 topologies of space, which actually display the properties of energy, information or a combination of both. Thus, any space-time point will have also 3 topological parts, specialized in energy, information and reproductive functions:
- Max TI: an inner, dual center, corresponding to convex topologies (left), made with 2 cyclical forms. It is the dominant informative topology of any fractal organism, described by Belgrami in the XIX c. as a conical form with ‘height’ with negative curvature.
- : A middle, reproductive zone, described by Klein as a disk, made of quanta in cyclical movements that communicate energy and information between the inner and outer zones.
- Max. E: An outer membrane of energy, described by Riemann’s spherical geometry.
Those 3 non-Euclidean geometries structure the inner geometry and functions of the organs of any species, proving the homology of all space-time fields in the Universe. In the graph, an animal, an embryo, an electromagnetic flow, a galaxy, a proton, a seed, a planet, a cell and a boson display the 3 topological zones of a fractal point, each of them performing one of the 3 functions/arrows of space-time.
In the graph, any fractal system has 3 topological regions that correspond to the 3 functions performed by any space/time field in the Universe and are homologous to the 3 possible topologies of a 3 dimensional world. Each of the 3 elements of fractal points display the properties of one of the 3 space-time arrows: the center has height, accumulates information and it is small. The external membrane is larger, continuous and protects the system. The intermediate zone reproduces with the energy absorbed from the membrane and the information given by the center, the different elements of the super-organism, which latter migrate towards the other 2 zones.
- Informative particles accumulate in the inner region as units of the central brain. Or, if they are seeds, they migrate to the surface of energy where they become fractal systems of information, senses in organisms, informative human beings in the Earth-crust, ovules in mothers. And once detached, they start a fractal, reproductive, palingenetic process.
- While energetic particles migrate to the membrane, integrating themselves as part of a continuous protective shield. So in a cell we find mitochondria that produce energetic proteins and RNA for the surface membrane.
The internal, reproductive region happens in all organisms. In the human body the bones reproduce the cells needed for the blood network and the hormones and products used by the brain. In a galaxy, the intermediate region produces energetic stars and informative black holes, which migrate to the central region; in an ecosystem, the territory of the predator produces preys in which the predator feeds, bringing them to its central den.
The fundamental prove of the homology of such ternary structure is found in topology. Since those 3 zones are the only possible topologies of a 4D Universe. Indeed, in the upper graph we show the 3 only topographies mathematicians use to construct all possible 4D Universes: - Max. Σ S: An external membrane or sphere of maximal extension..
- : An inner plane of points, or toroid, whose cyclical paths happen between the skin/boundary of a sphere and a central hole.
- Max. Ti. And the convex, informative central couples of disks, which displays maximal form in minimal space, with a growing dimension of height that touches the poles of the sphere and channels the flows of energy and information of the system.
Since function is form, those 3 topologies are perfectly suited to perform the 3 temporal functions of any super-organism: energy feeding, reproduction and information.
So we define a fractal point, which occupies a limited region of spatial energy and last a limited time, as:
64. Definition of a fractal point, the fundamental space-particle of the Universe.
‘A curved region of energy & information quanta, with cyclical movement, confined by 2 limits, an external, spherical membrane of max. energy and an internal informative nucleus.’
In a discontinuous Universe there are infinite such fractal points, but all of them are composed of the same 3 ΣS, ST, TI zones; the external membrane, the intermediate region and the inner center. Further on, each of those regions corresponds to a canonical topography and a canonical Non-Euclidean Geometry, each one described by a mathematician of the XIX century: Riemann described the external membrane; Klein who described the intermediate region and Lobachevsky, described the inner geometry of the central, informative nucleus. So it seems clear that those 3 regions super-structure all space-time fields (Physical jargon), all Fractal points (Mathematical jargon), all organisms (Biological jargon) and all entities (Philosophical jargon) of the Universe. Let us then explain those regions with the formalisms of non-Euclidean mathematics.
The mathematical description of the 3 regions of the st-point.
The analysis of fractal points that move and have inner quantic parts, made of cycles, started in the XIX century. First Lobachevski, a Russian geometrician defined Non-Euclidean points as curved forms, crossed by multiple lines, giving them spatial volume. Then Klein studied its cyclical movement and introduced the variable of time in their description. And finally Riemann, the greatest mathematician of the XIX century, generalized its nature, considering that all space-times were Non-Euclidean space-times with movement. For those readers well versed in mathematics, we shall now reconsider the common properties of those 3 zones of any fractal point, according to its discoverers which develop in abstract terms the organic properties we have just described:
- According to Lobachevsky and Belgrami space is curved and indeed Temporal Information curves the spatial energy of any real space-time. So points move in curves, which are ‘cycles’, gathering energy and information through their ‘dimensional networks’.
- According to Klein Non-Euclidean space-times have movement. So their ‘speeds’ measure also their distances; as physicists do in Cosmology with the distances of galaxies, which are proportional by a ‘Hubble constant’ to their speeds; or as people do in real life when we say that Brooklyn is at 5 minutes by train from Manhattan not at 2 miles.
- Riemann summoned up those findings and generalized them to all possible space-times and his work should be the guide to understand them geometrically. He affirmed that space is quantic, made of herds of points with similar ‘properties’, which define its quantic density determined by its number of points and its proximity that grows with self-similarity; whereas the density of formal points in a space-time is inverse to its spatial extension: Max ΣS = Min. TI; Max. TI=Min. ΣS. So when a volume of spatial energy is very dense, it is very difficult to go through it, as it happens in the gravitational space close to black holes. If we generalize that property to any fractal space-time, we find that it defines according to the energy/mass density of those points different fractal spaces and ‘Universal constants’ that explain the proportions of energy and information of those spaces. For example, in physical scales, there are 4 fundamental space-times, the gravitational space-time between galaxies of max. energetic space and minimal formal quanta, the light space-time of our world, the electronic space-time of atoms with more formal density and lesser spatial speed and finally the quark plasma of nuclei and probably black holes, with max. density and minimal space. All of them are defined by Universal constants and equations that are either ratios between the energy and form of those space-times, or define the transformations of one space-time into the other. Einstein’s field equations would be the first case, defining the relationship between energy and mass in a gravitational space, while the fine constant of electromagnetism would define the transformation between light space and electronic space/charge, and the gravitational constant, between gravitational space-time and quark/mass. Where the relative densities of information and extension in space of those space-times are in balance, such as ΣSxTI=K. Thus electrons move slower than light but have more density. Also Riemann’s space-times might have, beyond its discontinuous borders an inner space-time, several dimensions, one for each of its ‘energetic or informative properties’ as it happens with the points of physical reality, from strings to electrons in a Hilbert space. Hence Riemann through the concept of ‘common properties’, defined a ‘fractal dimension’ as a certain energy or informative network (static point of view), which ‘puts together’ points that share an energetic or informative ‘property=flow’ (dynamic p.o.v.).
- Max. Information: An informative, quantized center or temporal brain, the so-called hemisphere of Belgrami, a space-time with a dimension of height that transforms energy into information, absorbed or emitted by the central singularity. It is a quantized, informative region similar to a black hole structure. Since it follows the ‘black hole paradox’ of all informative centers, displaying max. form in min. space. So according to the inverse properties of space and time, the center has max. Informative Time and minimal Energetic Space. Moreover any point which comes closer to it, suffers a mutation of its spatial coordinates into informative, height dimensions. This is the case of any particle coming to a black hole whose space-dimensions become temporal dimensions as it raises in height.
The center has more information because it has at least 2 quantized disks. In complex systems, one of those disks acts often as the relative energy center or ’heart’ of the system and the second one acts as a relative informative center or ‘brain’ of the system, attached to the informative network. In many fractal points they establish 2 opposite flows or negative/ positive poles of energy and information. So often, the particles of he intermediate region cycle around the inner region tracing elliptical trajectories, focused by those 2 informative points. It is the case of any bipolar system, from binary stars, one dominant in energy and the other an informative neutron star or black hole; to bimolecular systems or n-p pairs in the nuclei of atoms. The same duality of 2 specialized centers controlling a common territory, or vital space happens in biology where most species have male-energetic and female-informative genders, ruling a common territory.
- Max. Space: An external, continuous membrane or Riemann’s sphere of maximum energy that acts as a relative infinite, unreachable distance, creating the discontinuity between the inner parts of the point. The membrane isolates the point as an island Universe. Since the internal quanta points are either jailed by the membrane’s structural density or destroyed by its energy when touching it. The membrane is the opposite form to the central, informative singularity, with max. spatial extension and continuity, hence with a minimal number of quantic, discreet elements: Max.ΣS=Min.TI. However it is also the zone through which the reproduced micro-forms of information are emitted by the point, and so it often displays ‘sensorial holes’ to relate the point to the external Universe.
Thus all Fractal points are ‘inner worlds’ whose membrane creates a discontinuity that defines an External Universe or outer world from where the point obtains its energy and information. And those points, despite being discontinuous, will have in their external membrane several generic openings or ‘senses’ joined to the informative networks or ‘brains’ and energetic, ‘digestive networks’ of the organic system:
- Max. +ΣS: A ‘mouth’ or opening that absorbs energy.
-Max. –ΣS: ‘Cloacae’, through which the cyclical body expels its temporal energy.
-Max.+TI: An ‘eye’ through which the informative center receives external information.
-Max. –TI: And an ‘antenna’, through which it emits information.
Those apertures vary in their number, location and size, depending on the form of the point. In the simplest spherical ‘seeds’ of most species, they are mostly situated in 3 regions:
- Max. ΣS: The Equator of the system, through which the membrane absorbs energy.
- ΣS=TI: The Tropics where often the same opening emits and absorbs temporal energy.
- Max.TI: The Poles or points of confluence between the membrane and its central informative region of height, which hits perpendicularly the membrane on those poles. North and South Poles orientate Anti-symmetrically, acting as 2 relative, negative and positive apertures, communicated by the height dimension of the singularity or Belgrami hemisphere. Thus the Positive Pole absorbs temporal energy that crosses through the central singularity where it is absorbed and ejected to the intermediate region where it is re-elaborated before its emission through the negative Pole.
- ΣSTi: The reproductive, central region which combines Energy and Information:
In all fractal points there is an inner middle volume or intermediate territory, discovered by Klein, which combines the energy coming out of the external, spherical, topological membrane and the information provided by the convex, complex formal center.
According to Non-Euclidean mathematics this region is made of self-similar points that form groups, quantic herds of ‘points with parts’ in perpetual movement, that draw cycles of “parallel lines”, between the other 2 regions, as they gather the energy and information they need to survive. And they create space by cycling within the other 2 regions. Such abstract conceptual space describe in fact the behaviour and form of many real, spatial herds. For example, a herd of animals in an ecosystem will move between their hunting and water fields (where they gather energy) and their breeding, inner region where they reproduce information, making cyclical trajectories between both regions. In this manner, they occupy a vital space, called a ‘territory’, which shows the properties of a Non-Euclidean Klein space. A fundamental property of the intermediate space is the fact that it is confined between the other 2 regions, which are never reached in the cyclical trajectories of the inner cells of the space. For example, in a cell, the molecules of the organism will not touch the protein membrane or the central DNA nuclei. Thus, the inner quanta are confined within the Klein’s disk by the 2 other regions, which have more energy and information and might destroy them and/or absorb their energy and information at will.
To explain this in abstract terms, mathematicians introduced in the XIX c. the concept of an infinite, relative distance measured no longer in terms of static space but in terms of time and movement, as the distance between the point and a region that cannot be reached. Thus Klein defines a relative infinity, as the region beyond the discontinuous membrane whose insurmountable borders the inner time-space quanta can’t cross, as a cell cannot go out of a body, an atom beyond C speed or 0K temperature and a man beyond the Earth’s atmosphere. Thus, the informative center and external membrane become the 2 relative infinities or limits that the movements of the intermediate point cannot breach. As in the myth of Achilles and the turtle, Achilles never arrives because every time he moves he crosses a smaller spatial distance. The same happens in a fractal space-time, when a point moves temporally towards its inner or outer space-time limit and finds an increasing resistance to its movement, till finally it is deviated into a cyclical trajectory around the outer, energetic membrane or the height dimension of the inner informative singularity or is destroyed. So the intermediate, quantic cells of the point circulate in parallel cycles always inside the interior of the sphere with contact zones of the type “A” (central, 2nd row of figures in the previous graph). For that reason Klein interprets the intermediate region of that graph as a circle with an invisible, unreachable membrane, equalling the ‘space-time distance’ between the intervals B1-B2 and B2-B3, despite being increasingly shorter in space. Since the quanta take longer in each step and don’t reach the membrane.
When those inner points reach the membrane at point C they become destroyed or deviated. Thus, the energetic membrane and informative center are the discontinuities that isolate the intermediate cellular quanta of combined temporal energy and create a discontinuous ‘World’ within the point. Those discontinuities are called in Geometry a relative infinite, in Biology a membrane, in Sociology or Topology a national border, in fractal theory the co-dimension of the point. They are defined in physics by the Lorenz Transformations that make c-the limit of energetic speed and 0 k the limit of temporal, formal stillness. Thus those limits are not the limits of the absolute Universe, but the limits of the fractal space-time made of light beings, a fact with enormous repercussions for a proper description of the Cosmos, which extends beyond those limits also in the non-local gravitational scale with faster than light and cooler than 0 regions.
The dimensions of the 3 regions.
In terms of dimensions we can define both the spherical membrane and inner informative singularity as 2 bidimensional fields: The central singularity is a bidimensional surface of convex temporal in/form/ation that curves the external spatial energy coming through the bidimensional membrane, creating together the 4-dimensional quanta of the intermediate region. For example, physicists have found that a black hole has a bidimensional external membrane through which energy becomes bidimensional information (Holographic principle), that moves towards the central singularity. While physical models of the inner nuclei of atoms made of informative quarks, define them as a bidimensional, convex singularities. Now we can explain the why of those forms: an atom or a black hole is a quantic fractal point with a bidimensional external membrane (the black hole horizon or the electronic cover) and a central, convex singularity. Latter, when we deal with the specific Unification of 2 planes, the gravitational, macrocosmic plane and the electromagnetic microscopic plane, this intuition will become founded in solid numbers.
The all pervading presence of fractal points in nature.
Those 3 functional regions become the 3 fundamental zones we recognize in all Natural fractals: the Mother-cell or nucleus that generates the information (DNA nucleolus, human brain/nervous system, galactic black hole, chip, etc.); the reproductive region which becomes imprinted by the mother’s information, creating sets and families, micro-replicas of M©; and the membrane, which brings energy to the mother-cell to feed the reproduction of self-similar micro-forms. In all systems we find a core/brane that acts as the dominant region of the organism and display paradoxically less spatial extension than the other regions they rule. The multiple combinations of those 3 unique topologies of 4-D space-time shape the 3 regions of any fractal, which starts as a perfect seed of information, hence a spherical form; and then develops those regions in morphologies that soon resemble energy lines and information centers. On one hand, the energetic region extends into lineal limbs and energy-feeding cycles, becoming a body; while the informative zone moves to the height dimension and jets up sensorial boundaries becoming a head. It is a process studied by morphogenesis, whose why can now be explained. The lower graph shows some of the cellular points in Nature, highlighting its 3 regions, which create in each fractal point a World in itself:
In a galaxy the halo of dark matter and the central black hole dominate and seem to feed and form the radiant matter of which we are made. In man, the informative brain, extended through the central spine and senses, dominate the energetic body and guide it.
As the species changes and evolves into more complex shapes those functional zones are kept. For example, the informative egg evolves into the energetic, larva phase of most animals, by translating the inner, informative center to the head region and the external membrane to the ‘tail’, but the functions are preserved.
The external Universe/ecosystem and the social fight for existence.
Yet beyond those 3 regions the point feeds on an external world of relative energy, the Universe, in which each biological fractal will prey in order to obtain energy for its organic cycles of iteration: the intergalactic gas feeds galaxies; the animal kingdom feeds man; stars feed the black hole. In fact, the way in which the point interacts with the external Universe is explained by the 5th postulate of Fractal Logic, which completes the 1st postulate.
The subjective will of infinite points acting selfishly however, in Adam Smith words, come together creating a positive reality. How this is possible? What orders the chaos of infinite selfish points into a single reality?
Once more the desire to survive of this points, which acting together become stronger than individuals and hence win in the struggle for existence, defining an arrow of social evolution that creates with herds of points fractal, social planes and cellular super-organisms.
So points first associate in couples that share flows of energy and information, creating waves and lines; and then in planes of social points, defined by the 2nd and 4th postulates of fractal logic. While the 3rd postulate of relative equality studies the different way in which those points relate to each other, either associating together or fighting for survival.
MONADS. THE 5TH POSTULATE. EQUATION OF A BOSONIC MIND.
According to the duality between form and function, each postulate of fractal geometry defines also a basic function=cycle/dimension of the Universe: the 1st and 5th postulate define a point as an organism with inner parts that transform energy into information; the 2nd postulate defines an exi wave of communication between 2 fractal points; the 4th postulate defines the social evolution of a herd that creates a fractal plane, a network with dark spaces; and the 5th postulate explains a point in its iterative actions as it absorbs energy and transforms it into information through its small apertures to the Universe. Since even a minimal quark of mass, as Einstein affirms should be crossed by ∞ parallels.
And we say a God, because the cycle of existence and any of its multiple forms is a self-similar entity, a Monad, an Aristotelian God, an Einsteinian point of measure, a relative diffeomorphic being that observes and ‘gauges’ the Universe from its point of view, with its particular languages of perception, searching in all cases for the same selfish arrows of absorption of energy and information to reproduce itself.
We are indeed, all selfish monads, points of view, points of perception, unmoved centers of the bodies of energy we direct. And it was again, once more Einstein, who gave the first step in the understanding of those monads, or points of view, when we rejected the simplistic notion of an abstract point, and considered the non-Euclidean structure of space-time beings, which now we will evolve further to its ultimate consequences, in order to understand those monads, or mental points of view that gauge in any relative space-time plane or world, the Universe around them.
Mathematics, as a language that represents reality with simplified symbols, has a limited capacity to carry information. So its main symbols, geometric points and numbers, simplify and integrate that fractal, discontinuous reality into a single space-time continuum, the Cartesian Space/Time graph, made of points without breath. However the points of a Cartesian plane or the numbers of an equation are only a linguistic representation of a complex Universe made of discontinuous points with an ‘internal content of space-time’. In the real world, we are all pieces made of fractal cellular points that occupy spaces, move and last a certain time. When we translate those space-time systems into Euclidean, abstract, mathematical ‘numbers’, we make them mere points of geometry void of all content. But when we look in detail at the real beings of the Universe, all points have inner volume, measured with the dimensions of fractal geometry. So we propose a new Geometrical Unit; the fractal st-point with space-time parts, which Einstein already used to describe gravitational space-time. Indeed, Einstein realized that the Space-Time of the gravitational Universe did not follow the 5th Euclidean Postulate, which says:
“Through a point external to a line we can only trace a parallel”.
Euclid affirmed that through a point external to a parallel only another parallel line could be traced, since the point didn’t have a volume that could be crossed by more lines:
Abstract, continuous, one-dimensional point: . ____________
Instead Einstein found that the Universe followed a Non-Euclidean 5th Postulate:
56. “A point external to a line is crossed by infinite parallel forces”.
Real, discontinuous, n-dimensional points: o ===========
Which means that a real point has an inner space-time volume through which many parallels cross. Since reality follows that Non-Euclidean 5th postulate, all points have a volume when we enlarge them, as cells grow when we look at them with a microscope. Then it is easy to fit many parallels in any of those points. Such organic points are like the stars in the sky. If you look at them with the naked eye they are points without breadth, but when you come closer to them, they grow. Then as they grow, they can have infinite parallels within them. Since they become spheres, points with breadth, with space-time parts.
In Euclidean geometry, a point has no volume, no dimension, but string theorists say that even the smallest points of the Universe, cyclical strings, have inner dimensions, which we can observe when we come closer to them. That is the essence of a fractal point.
In the same way the Saturn rings stop being planes without volume when we come closer and observe them as fractal points, called planetoids… Non-Euclidean points acquire volume when we approach to them. And they acquire movement. In words of Klein one of his discoverer, a space is not static, but a moving group of points in cyclical movement.. So in the same way the Saturn’s rings are a group of planetoids, a Klein space, the space-time that fills a point has movement, is the sum of a series of cellular cycles.
This surprising quality of fractal points has become today a standard feature of the most advanced mathematical theories of physical sciences, Fractal Geometry, and Theory of Strings. Physics describes the Universe with mathematics, a language born of the study of geometrical space. Or in other words Physics is the geometrical description of the Universe, but the Universe is not mathematics, because it selects only from geometry the efficient, biologic forms that can survive in its Darwinian, evolving, moving Reality. That Darwinian, selective process of efficiency should not escape to us in an age of inflationary physical theories with bizarre space/times that reality never would select. Mathematics is, as all languages, an informative fractal, whose forms multiply in excess (ΣS->0; TI->∞). Thus if certain sentences of verbal thought can be imaginary despite its beauty, so happens to many geometrical forms. Thus the Universe selects only efficient geometries, based in forms that can move and perform the arrows of time in the real Universe. Hence the importance of having a geometric theory of space-time that describes accurately those forms of the physical Universe. This was the key discovery of Einstein. He realized that Euclidean, lineal geometry, used to describe ideal space, could not describe the curved cyclical paths created in gravitational space-time faulty. So he switched in his description of reality to a space called Non-Euclidean, where its minimal fractal unit, the point, could be crossed by multiple gravitational curves and hence, unlike the abstract point of Euclid and Descartes, it required inner volume, inner form and energy…
In that regard, there is always a territory external to the fractal point, which reveals itself as a selfish form whose only purpose is to iterate itself. You can express that iterating will of all fractal species in mathematic terms with a Generator equation or in words with a logic mandate, as the Bible myths did, making God saying to man, a fractal species, ‘grow and multiply’, which means: ‘absorb energy and iterate yourself’. But the catch is that all other fractal parts of the Universe will want to do the same while energy is always limited It is the Jungle Law that mechanically or biologically all fractal structures of the Universe follow. Because those who do not iterate become extinct and the fractal no longer is. So a fractal point has to erase the information and transform the energy of other fractal point to iterate itself. Once more the paradox of Galileo motivates all points to ignore the rest of reality and take care of themselves, as relative self-centers of their own world.
Thus, in ‘Fractal Relativity’ we define each diffeomorphic Space-time field as a ‘World or parallel Universe’ with a central, ‘future, evolved’, dense region of Temporal Information that curves in words of Einstein, an external, energetic, past, spatial region or membrane, ‘that quantizes’ the energy of the external Universe, and a 4-dimensional intermediate, reproductive S-T field. A definition which can be extended to more complex beings with any relative number of ‘dimensions’; subject to a single restriction: the number of dimensions of the informative and energetic zone will be the same, so they can ‘merge and interact’ together, creating from the combination of those dimensions the intermediate zone, whose dimensions will ad the energy and informative dimensions of those other regions. In fact many models of our Universe consider that we exist on an ‘external 4-dimensional membrane’ of a Fractal point… Though most of it is invisible to us.
In the physical realm, besides our electronic minds there are gravitational minds, black holes and masses, which Einstein defined as foci of gravitational space:
57. ‘Space=Energy is motion relative to a simultaneous frame of reference=a gravitational mind’
We added in italic the concepts of cyclical space/time equivalent to those used by Einstein, who understood space as a moving energy warped by a mass, a frame of reference that ‘measures’ space-time. Yet Einstein was an abstract physicist, philosophically shy, and so he did not considered how a ‘mass’ can measure, an informative, ‘intelligent, mental action’. Minds are focused, ‘Aristotelian Gods’, defined in his metaphysics as unmoved, intelligent brains around which energy flows and ‘bodies’ turn, as they feed with temporal energy the mind. Stillness is the nature of perception. Even if reality is a moving quantic soup, your eye is not out of focus because its virtual images are still, like the pictures of a film that stops in front of the camera. Both images, in the eye and the camera, only move and change when you blink your eyes or the camera closes its window, stopping their perception. Then it rests in darkness as the body makes the brain jump to another place. Thus, perception is also quantic, a stop and go process that focuses a still image through the senses and then processes that information into a quantic thought while the senses are closed and the energy body moves the mind. In the human case that quantic rhythm lasts a second, our ‘dharma’ of relative present-existence in which simultaneously we create a still mental image of the Universe. Each second our quantic, informative mind closes a mental, cyclical action:
58. Cycles of temporal energy=>sensorial in-forma-tion =>Brain-clock of time.
An informative brain or temporal clock, acts as a mirror of the Universe, portraying the quantic, cyclical actions of time-space, performed by multiple species. Those actions are communicated to the brain region by certain forces/languages, electromagnetism or gravitation, atomic smells, sound waves, etc. that the brain reconstructs into an image that imitates those cyclical actions with inner, still in/form/ations. In physical terms that stillness is equivalent to coldness, since temperature is a parameter of movement. For example, the black hole has a temperature close to 0 k, which means that it exists in relative stillness, with perfect order. Since it might perceive an image made with bosonic, gravitational quanta perfectly focused, with minimal fluctuation. So we suppose by illogic parallelism, that the virtual world that happens in the black hole at zero temperature and zero movement is a linguistic mirror of the galactic Universe.
The homologous human brain-eye system is easier to analyse: the eye sphere reflects light energy (white colour), the iris absorbs information that ‘stops’ in the cells and becomes transformed into electronic impulses. So the energy of light is deviated and its information translated. The physical reality with its omnipresent, similar vortices from hurricanes to black holes; from vibrating atoms to electrons that emit or absorb photons shows the perpendicular, Darwinian mechanism of transformation of temporal energy ‘killed’ and split into informative time and energy flows that happen to all forces that feed a bigger perceptive center. It is also obvious in the transformation particles suffer in its parameters, when coming to a black hole vortex. They accelerate close to the speed of light, transforming its energy into time parameters, according to the Lorenz Transformations, and finally split its energy and information perpendicularly. Further on we know masses and charges act-react to the temporal information they receive. For example, a charge changes its spin after receiving a photon or changes its rotation when it enters a magnetic field.
Yet the most clear prove of the ‘perceptive’ nature of those vortices is the Pauli’s Principle of Exclusion. Long ago a physicist called Pauli received a Nobel Prize for his ‘Exclusion Principle’ that demonstrated something in appearance obvious: 2 particles cannot occupy the same space, except light and gravitation, whose photons and theoretical particles, gravitons, can occupy the same place or center of perception till a limit given by an immense amount called the density of Planck (or Max. density of information of the Universe). Even certain atoms (called Bose condensates) when they are equal and very ordered without vibration, near 0 K temperatures, can fusion into a point. So they can become the still pixels of a virtual image that occupies a relative zero space-time.
Those bosons form in the center of a mental point a virtual map of the Universe, done by the accumulation of quanta of information in that central singularity, as it happens in a crystal or an eye and probably by a quark that forms an electromagnetic or gravitational image of the Universe. Further on, bigger minds, black holes, seem to be made by accumulation of ‘bosonic quarks’ that carry a huge amount of mass-information. So they can form even more complex images as shown in its equations that prove 2 fascinating facts: that the black hole has 5 dimensions that it transforms its spatial parameters into pure, perpendicular, time parameters. So we define a physical mind as an energy flow that is transformed into information, in a knot of informative time or future point that creates in its interior with those flows of energy an image of the Universe or World.
יו. The many worlds interpretation of the fractal Universe.
T
he simplest function of any organism is the absorption of energy in a prey/preying relationship, in which an informative being absorbs energy to inform itself. In those fights the being with better informative brain most likely will control a better energetic body (in the graph, the black hole controls gravitation, man the rifle). So it will absorb the other fractal point.
We can observe in any darwinian fight, as the one reflected in the image, the vital geometry of organic fractals:
2 spatial, energetic beings (a lion and a galaxy of stars), with a planar form and max. speed, confront 2 informative beings with a lot of information (a human and a black hole), dominant in the dimension of height. Since information dominates energy and time curves space, when they enter into a relative present relationship, man kills the lion and the black hole feeds on the herd of stars that become past, extinct species. It is now when we retake a fundamental theme of this book, what is a mind, an information center, the fractal generator-mother cells of any systems; defined by the 5th postulate that Einstein rightly saw an interpretation of a mass, a vortex of knot or mind of gravitation…
All fractal points are Galilean paradoxes that perceive and act with a will defined by their desire to survive, absorbing energy and information from their environment.
The mind sees stillness and hence death in all those forms in fixes in its brain and yet all has movement all has a life to it; all forces can be understood as languages when the proper codes are translated. Indeed, for all what we said it is also obvious that the intelligence of the Universe doesn’t speak a single language, understood by man, but all beings can perceive and remember information, stored in rhythmic patterns and linguistic codes. I called the first book I wrote on cyclical time ‘The Codes of the Universe’, because the resolution of those codes in different languages and scales is indeed the essence of knowledge. Each species has limited languages of perception, the most complex perceive more languages and forces. In the atomic world, quarks, the most complex particles perceive, ‘see’ we say in gauge theory, all the forces. They are the most complex particles, probable cells of the black hole. In our world, men are the most complex beings. Nevertheless, animals who understand only smelling, chemical codes and visual codes are also intelligent and so are electrons who do not perceive gravitation in the atomic word – we are in fact electronic minds as computers are. Languages can use any of those codes. Cephalopods developed both the first complex eyes and a pigmented skin, which changes and modulates emotional messages in a silent code understood by other squids. Insects use magnetic codes to guide swarms. The Universe is a game of information self-similar at scale without limits in its intelligence and codes of perception. It is only need to know the translation tools and constants of transformation between scales, studied in the most complex versions of this book to reveal its intelligence to the dumb human being who speak so few codes properly.
All is memorial because cyclical inertia, the repetition of the cycles of existence of any form, is common to all space-time fields. This is a tautology: a species that forgets, that does not repeat a quantic cycle of existence becomes extinct and its cycles of existence disappear. Thus, a being has to remember and repeat its quantic cycles to last in time. That is the existential game of any being: to feed on energy and use its genetic, memorial information to transform it through reproduction into new cyclical actions.
The rhythms of existence are organic, vital. Yet we do not see them in stones and plants, because rhythms vary its speed and men only consider vital rhythms similar to theirs.
Each species has a different rhythm of perception and existence, a different language of knowledge, a different mind and capacity to act-react in the Universe, a different speed of times. The rhythms of rocks are slow. So are the rhythms of galaxies. Thus, we have to transform mathematically the different rhythms and speeds of times to see them alive. For example, when we see in fast motion the living cycles of plants that seem dead, in slow motion, they acquire living properties. It is again the Paradox of Galileo: we see many temporal cycles as fixed forms in space, as we see the moving Saturn rings as a fixed form, yet all is moving, cycling in an organic way.
Physicists don’t understand that their clocks of time are abstract inquisitions of the mind. Instead of a ‘moving cycle’, often a living ‘ time’, when they think of time they see a number in a graph. Yet even a watch measures the cycle of expansion of its inner spiral, made of metal that dilates, expanding space; even the sun measures a year-cycle as it swims on the gravitational flows of the galactic spiral, feeding on quantic, gravitational space. Clocks are brains that measure cycles of time. So today the clocks of science have evolved into cyclical computers that are truly ‘metal-brains’ of machines. Time is measured as information for biological, survival purposes. Since the ‘fastest brain-clocks’ of temporal information survive better. They see with more detail everything alive and act-react faster to the Universe. So our incapacity to see a living Universe is only a prove of our limited intelligence and memorial detail. Andre Guide affirmed, regarding a similar phenomenon, that ‘the more insensitive the white man is to the beauty of Africa, the more he despises and mistreats the black people’. So happens today with humanity at large with Nature.
We thus talk of human aberration of perception as the true barrier modern science has to accept those living cycles. And so we define according to the Fractal Principle, 3 phenomena that create that aberration of perception: the limited scales of space we perceive, which prevent us from seeing in detail small or far away beings; the relative speed of human, cyclical time we use to observe reality that prevent us from perceiving very fast or very slow beings as living beings. Finally, our incapacity to translate other languages, as information is smaller and quantized. Therefore, we perceive better bodies and energy than minds and brains. This creates the ‘energetic aberration of naïve realism’ that makes scientists think all is ‘energy’ and information is secondary. Since informative messages, which are ‘faster’ and ‘smaller’ than energy forms are the most difficult to perceive. We don’t see pheromones and so biologists thought for centuries ants acted as individuals when in fact they act as part of a whole super-organism, the anthill. We did not perceive the informative, chemical languages that cross ‘the synapse’ between neurons for so long, that most scientists thought that the entire brain was a cell to be able to work together until Cajal saw those discontinuities. Yet today biologists are decoding new languages of information: they found that monkeys learn to use money, rats sing songs, flies calculate. So the real barrier to understand the intelligent Universe is ideological, anthropomorphic ‘mechanism’. The very moment science accepts organicism; it will start to ‘understand’ the whys and wills of reality instead of merely gathering data. To perceive that organicism it only has to ‘translate’ different speeds of time to the ‘real speed’ at which any species exist.
When we understand that there are many energies that feed space-time beings, many ways to inform brains, many speeds of perception and hence life; yet all are harmonic with each other, a deeper philosophical sense illuminates our mind: We are part of the same Universe and share the common properties of any of its infinite organic systems.
A huge organic system of temporal energy like a star might have a thought a day; a plant thinks slowly, a fly sees faster, a rat beats its heart faster than we do. For example, spiral and elliptic galaxies are phases of a feeding cycle in which the spiral bar appears and disappears after collecting interstellar gas for the black hole every 1010 years. Scientists are now ‘putting together’ many similar dual forms that are phases of an organic, existential cycle. This is the fundamental trend in recent Astronomy and Physics: First neutrons and protons were considered 2 particles but now they are 2 phases of a nucleon cycle of energy feeding as they absorb pions, transforming into each other, so fast we can’t see it in detail. Last year we realized that the 3 neutrinos were part of the same particle, mutating its state. The same phenomenon happens when we see a human being externally: our skin appears as a fixed organism in space as its cellular cycles are perceived as a stable form.
Only anthropomorphism and the limits of human AE-perception make us differentiate those scales. Yet according to the definition of a point of i-geometry when you ‘enlarge’ the image of that non-AE point, for example, an insect, the detail of the information we observe grows and so the world of insects is as rich in meanings and forms as the macro-world in which we live. Since all waves carry the same amount of quantic information regardless of its spatial size, according to 2 simple, paradoxical laws: the law of the vortex for cyclical, implosive, attractive ‘particles’ (charges and masses), Vo x Ro=K, and the quantic law that defines transversal, explosive waves, E/v(t)=K. Both show that temporal energy increases when the masses or waves cycle becomes smaller.
Each species has a rhythm of times. So slow species are perceived as dead species by faster species. We think plants are dead because they are slow in their rhythms of Times. Yet they are alive, feel, and sense in a chemical manner, through their roots and leaves… All is alive yet with a different rhythm, a different beat. The beat of each temporal organism is an action-reaction cycle with a different clock, a different quantic rhythm and temporal speed. They are all around you. In a garden, the wings of a ‘hummingbird’ take energy from the air 200 times per second. It is a clock faster than the energy beat of your heart, 80 beats per second. The energy of the wind moves the leaves every 2 minutes. A gardener is a clock that waters plants a beat each day… Those action-reaction cycles are everywhere in the Universe. Some beings are faster in their active cycles like the hummingbird; some are slower like the plants and the galaxy. In most cases the bigger the species are, the longer they take in each of their active cycles: A galaxy turns around every 200 million years, the Earth every day, your eyes beat and absorb light-energy every second, the hummingbird’s heart beats 800 times every minute, the electron turns 30.000 cycles per second… Each organism, each region of the Universe, has a different speed of feeding and perception. People think that slow species are dead. But that is not true. They tend to be energy species that just have slow rhythms of information and live longer. While more informative, evolved species think faster and live shorter. Often the smaller the species the faster it can complete its cycles of information. So brains are small and chips evolve, becoming smaller as they become more powerful. Yet chips last a couple of years. And men, an informative species, seem so self-destructive, so loving of information, the age, which precedes death, that we might be the shortest living animal on Earth. In the complex versions of this book we formalize those multiple planes of perception with existential algebra. Let us here consider just some basic homologies, laws and decametric rules, useful to fully grasp latter the cosmology and biology of the Universe.
The fundamental law of the Universe is the balance between space and time, such as ExT=K. Thus as we diminish in spatial size in the Universe, beings become faster in time, creating a balance according to which, smaller beings perceive and exist faster, being able to escape, slower Goliaths. Those regularities of the game of existence show a certain equalitarian justice in the Universe. Indeed, in each world-ecosystem the subjective existence of its organic systems is similar, despite their different size. So we can gather them in ‘families of species’ around a ‘constant of action’, K=T x E, which is the product of its speed of perception or frequency of perception of temporal information and its spatial extension. For example, it seems all mammals have the same metabolic existence: The rat lives less than the elephant but his heart beats faster. The subjective speed of perception also prevents small species to become extinct in the same world ecosystem inhabited by bigger species, as they act-react faster and so they can escape top predators.
The harmonies of living beings: the paradox of Goliath.
For example, according to the previous inverse law of mental speed a fly sees 10 times faster than human do, since flies are smaller, so they perform 10 visual quantic actions by each human blink. Yet because its brain’s quantic neuronal density is not very high, it is not a top predator as robotic insects might be in the future.
Curiously enough the oldest insects, ant queens and cockroaches, can live up to 7 years. Yet cockroaches react in 20 milliseconds and humans in 200. Which means that if they perceive time cycles 10 times faster than we do, subjectively they process 10 times more quantic actions of temporal energy, or ‘dharmas of existence’ (philosophical jargon). So they live the same subjectively life of 70 years… the same length of a human existential= generational cycle.
It follows that there are parallel worlds, one for each relative hierarchical space-time scale, based in different Constants of Existence. In physical worlds the most important of those constants are the Universal constants of force, which express the previous K= TxS balances in different abstract ways. For example in quantum theory H= TxS is always constant (Heisenberg Principle). But that constant of the microcosmic world is different from its equivalent constant, temperature, in the atomic world, which also shows a self-similar balance for all gases: P(t)V(E)=nkT.
Other constants however are written not as TxS=K balanced, but as E/T or T/E processes of Darwinian evolution, which define instead of organic balances, processes of transformation of certain energy into for and vice versa. The most important of those constants in the 2 physical space/time planes are G and Q, which represent, as the Newtonian and Coulombian formula shows, T/E, Mass-Charge/Distance events, in which in words of Einstein, cyclical masses absorb and bend the energy of space. While in the electromagnetic world light-space is absorbed and transformed, curved into electronic form. Yet since the density of information of the electromagnetic world is smaller than that of masses, given the fact that electrons are lighter and more extended in space than gravitational quarks, paradoxically the energy of its electromagnetic constant is much bigger. Thus the relative transformations of gravitational and light spatial forces into masses and charges are also ruled by decametric harmonies, as those of the biological speed of action-reaction of flies and humans. All together we can consider a simple scheme of the main many-worlds of the Human Universe, according to their relative energy and information density. Indeed, According to the different forces of the Universe, each organic system has a different mind since it absorbs different temporal energies and so it creates different mental, linguistic ‘spaces/times’, relative virtual worlds, mirrors of the Universe. The world of each being represents a quantity of spatial information with a size, form and number of dimensions that are relative to the spatial reach, form and dimensions of the informative, linguistic forces it uses to observe the Universe. So while the Universal Syntax all minds use to create their virtual maps of the Universe is homologous in all beings, in as much as they reflect a single Universe, the details, quantity and quality of the information of those maps depends on each brain; since worlds are multiple, quantic, diffeomorphic. So, depending on which type of temporal force of energy each quantic being absorbs to create its mental map we can define different worlds or ecosystems in which a certain force is shared by multiple discontinuous Fractal points that interact only with the other points of the same ecosystem but now with parallel worlds. For example, masses are quantic nodes that inform and/or perceive gravitation, which we do not see. We are quantic knots of light perception. While ants have olfactory brains that perceive atoms. And so many beings live in parallel discontinuous worlds within the same Universe.
Even an electron, the smallest form known to man, processes light information and jumps towards a moving photon, absorbing its energy to enhance its survival chances. Equally, black holes and quarks process gravitational information, locating themselves in the best position to absorb it as masses. While a chip uses digital information to guide a machine, etc. There are other spaces and ways of measuring time besides light and clocks, other possible virtual worlds and intelligences besides man. Since man is made of the same atomic material that the rest of the Universe, the capacity to communicate in this universe – the most clear prove of life – is not exclusive of human atoms but a property that takes place through different atoms and forces; including metallic atoms such as those of computers or gravitational forces used by celestial bodies. So men talk, chips digitalize, animals see, plants ‘smell’ and masses process gravitational information.
We classify those worlds, according to the volume of temporal energy their linguistic forces carry, in a scale of increasing i-complexity, ruled by the Black Hole paradox: The smallest and faster particles scan with more detail the Universe; so they carry more information and create bigger, faster mental worlds, inhabited by species with more TxS force. Accordingly we consider 4 basic worlds:
- Big, slow atomic quanta create animal olfactory minds that perceive small metric territories inhabited by small animals like ants.
- Smaller, faster electrons create electronic minds that perceive kilometric territories inhabited by bigger animals like human beings.
- Photons create bigger worlds of planetary size perceived by huge machines and chips (the brain of future robots) at global scale (Internet, satellites, etc).
- Gravitational forces of very reduced size create words of galactic size perceived by celestial bodies like Black Holes (minds of the galaxy).
So the Gravitational world is bigger than the light world, bigger than the electronic world, bigger than the molecular world because paradoxically gravitons are faster and smaller than photons, which are faster and smaller than electrons, which are faster and smaller than molecules. So a black hole can perceive an image ‘with more detail’, more ‘pixels’. And since gravitation is faster than light it should ‘change’ the quantic mind’s images it creates faster. On the opposite extreme, plants and olfactory animals perceive molecules, which create images ‘with huge pixels’ that offer little detail and change very slow. Thus we consider that every organic system in the Universe, which processes information and survives efficiently, is a focus of a dual force that carries temporal energy and helps him to act-react externally in a manner that seems to improve the survival of that entity. Each bigger world and faster language increases the TxS force of its species, which become top predators. And indeed, the analysis of the theoretical speed of informative perception in black holes has shown that they are the fastest ‘computing minds’ of the Universe. So black holes can easily destroy a planet; huge machines kill animal life; human beings kill olfactory ants and insects kill plants. Which means top predators are defined in terms of the power of their linguistic brains.
And so we can talk of a game of Russian dolls, in which each bigger World encloses the smaller one. The gravitational World encloses the light world. And the light world encloses the electronic world, which is bigger than the atomic world of ants.
The 4+1 postulates of Fractal, illogic Geometry.
We can formalize the structure of those fractal worlds-minds, the monads of Leibniz, with the 5th postulate of geometry. In the graph, a flux of forces creates a vortex that falls towards a central singularity in which the energy force is transformed into information, creating a linguistic, still image with a fixed content of spatial information, perceived and processed by the brain of the system as a synoptic mirror of the Universe, which allows the system to act-react in that Universe. Thus the 5th postulate of i-illogic geometry defines any mind as the informative singularity or central region of a fractal point that creates a virtual image of the Universe or ‘World’, limited to the information scanned by the forces it absorbs:
59. ‘A mind is a point of Temporal Information in which parallel forces of spatial energy converge, creating a linguistic image of the Universe:
st (Space-Time Universe) x 0t (Point-Mind) = K (linguistic World of spatial information)’
Of the many sides of that 5th postulate 2 are paramount
- The physical duality between mind and brain that makes possible for a mind to stop a flux of temporal energy in movement into an informative still map, mind or virtual word.
- And the aberrations of perception the mind causes, creating the arrogant vision any species has of the Universe, in which he believes to occupy the central point.
In the physical realm, besides our electronic minds there are gravitational minds, black holes and masses, which Einstein defined as foci of gravitational space:
60. ‘Space=Energy is motion relative to a simultaneous frame of reference= gauging mind’
We translate in italic to the jargon of Duality the abstract concepts of Einstein, who understood space as a moving energy warped by a mass, a frame of reference that ‘measures’ space-time. Since Einstein was an abstract physicist, philosophically shy, and so he did not considered how a ‘mass’ can measure, an informative, ‘intelligent, mental action’.
Minds are focused, ‘Aristotelian Gods’, defined in his metaphysics as unmoved, intelligent brains around which energy flows and ‘bodies’ turn, as they feed with temporal energy the mind. Stillness is the nature of perception. Even if reality is a moving quantic soup, your eye is not out of focus because its virtual images are still, like the pictures of a film that stops in front of the camera. Both images, in the eye and the camera, only move and change when you blink your eyes or the camera closes its window, stopping their perception. Then it rests in darkness as the body makes the brain jump to another place… Thus perception is also quantic, a stop and go process that focuses a still image with the senses and then process that information into a quantic thought while the senses are closed and the energy body moves the mind. In the human case that quantic rhythm lasts a second, our ‘dharma’ of relative present-existence in which simultaneously we create a still mental image of the Universe. Each second our quantic, informative mind closes a mental, cyclical action:
61. Cycles of temporal energy=>sensorial in-forma-tion =>Brain-clock of time.
An informative brain or temporal clock, acts as a mirror of the Universe, portraying the quantic, cyclical actions of time-space, performed by multiple species. Those actions are communicated to the brain region by certain forces/languages, electromagnetism or gravitation, atomic smells, sound waves, etc. that the brain reconstructs into an image that imitates those cyclical actions with inner, still in/form/ations. In physical terms that stillness is equivalent to coldness, since temperature is a parameter of movement. For example, the black hole has a temperature close to 0 k, which means that it exists in relative stillness, with perfect order. Since it might perceive an image made with bosonic, gravitational quanta perfectly focused, with minimal fluctuation. So we suppose by illogic parallelism, that the virtual world that happens in the black hole at zero temperature and zero movement is a linguistic mirror of the galactic Universe. Again, we cannot go into a detailed translation of Einstein’s equation to cyclical time. Just to mention that only in terms of cyclical time we can understand the properties of black holes. For example, time tends to zero when we enter the black hole in lineal terms, but in the inverse terms of ‘frequency or angular speed’ the cyclical rotation around the Kerr black hole tends to infinite, while its height is maximized. Since those are the 2 dimensions of time, which now we can understand in more detail.
2ND POSTULATE.
ACTION-REACTION CYCLES AND WAVES OF PRESENT COMMUNICATION.
The minimal Universal event communicates 2 i- points through a lineal action of energy and information that emit a flow of micro-points, self-similar replicas of the mother-point across the external Universe transferring energy and information. In most events those flows balance one point with more energy, Ei, that each science defines with different slangs, (‘a white hole’, ‘energyzer’, ‘past form’, ‘male’, ‘body’, ‘yang’, ‘moving field’, etc.); and an informative point, Ot, the smaller form (‘a black hole’, ‘codifier’, ‘future form’, ‘female’, ‘head’, ‘yin’, particle or ‘center of perception’, etc.) Both become united by a dual wave that transfers energy from Ei to the informative point of relative future, Ot, and information from the future point, Ot, to the relative past point, Ei, creating together a cycle of temporal energy. The description of those points and cycles, which are common to all beings of space-time, creates a fractal,i-logic geometry common to all sciences and Universal species.
The simplicity of the fundamental unit of our Universe should not deceive us; since the point is not static but in constant communication with that external Universe, populated by other points from which it obtains energy and information through acts of communication, which are also dual. Since according to Newton, an action never goes unanswered: There would be a reaction often of the opposite sign, which means that if the original t-point has emitted a fractal action, dominant in energy, ΣS, it will receive an opposite reaction, often dominant in information, TI, completing a cyclical action of temporal energy, ΣSTI. In the same manner when a group of points emits a wave, it will receive an opposite wave from the receptor, creating a cellular, complex cycle. Finally, if we combine 2 planes or networks of points, communicating waves of energy and information, for example, human cells communicating energy and information through the blood and nervous network of life beings, we obtain an Organism. Which is defined in fractal Geometry by the 2nd postulate of communication.
Even the simplest lineal movement is an incomplete action-reaction cycle, observed from the point of view of the point that emits a single, lineal action arrow. Thus, to fully understand any event we have to wait for a reaction to complete a cycle. One-dimensional science often forgets this duality, considering ceteris paribus analysis of a single ation. In the human social scale, individualism often forgets duality when a nation attacks another nation, or when a group exploits another social group or an individual acts selfishly without expecting the proper reaction. Yet sooner or latter the just, cruel, Darwinian Universe will offer a reaction that will balance the game.
Fractal entities can emit a self-similar microscopic cell, with max. form and minimal energy; or they might emit a ‘wave’, a vibration of its entire whole with maximum energy and minimal form. It is the first of the multiple dual solutions, which any entity can choose, according to the dual arrows of energy and information of the Universe. Duality becomes essential to the multiplicity and variety of the Universe, since its self-similar limits are set by the existence of only 2 arrows/forms/ substances to play with; but its combinations are ∞.
Of course, the ∞ Universe actions and reactions that define those events will have different names according to the st-plane of existence in which they occur, but they will respond to self-similar existential laws. Since sciences are based in analytical studies that differentiate species, they do not search, as this synthetic book does, for the self-similar laws of all those fractal actions. Yet precisely the beauty of the fractal Universe is that both approaches are meaningful. Since, self-similarity doesn’t mean equality: the fractal creates self-similar forms which are never an exact replica of the original and those variations across different space/times differentiate species, which are however still easily to compare in terms of the similar properties of all relative energies and forms that together shape the action. Specialized Sciences are interested in those details that differentiate fractal actions. Fractal Theory and System Sciences are interested in the similarities that unify them, according 2 fundamental laws: the law of self-similarity, which states that any action will be a micro-form self-similar to the mother-cell, and the law of balance ΣSxTI=K, which implies that the product of the energy and time of the action will be a constant.
For example, if the point is a fractal microcosmic particle, the Fractal action will be a multiple of h, the smallest micro-form of energy and time of the electromagnetic world, ruled by the law of balance, ExT=H ; if it is an atom, it will be a vibration with a temperature, T, which again will be ruled by the law of balance, in this case PV=nkT.
And because we have ascended our plane of existence from spatial, lighter particles into atoms denser in form with less spatial speed, the action will be denser and reach lesser extension than a quantic h-action. This will be the case also in biological actions of communication: if the mother-cell is a living being, it will emit an ovule of pure information that will merge with seminal seed with higher energetic movement, or male seed. Both will be replicas of the mother-cell and now they will have minimal mobility and max. information as we have moved into a fractal space-time of higher i-nformation.
Finally in the human social sphere, actions will be often purely informative: movements guided by certain thoughts, which will act and transform our environment often intermediated by machines that increase the energy and information of the human action (). Since, all, including men, are made of flows of energy transformed into cyclical actions of time that generate the forms and events we observe in the Universe. So we widen the fractal unit of quantum physics the action of temporal energy that communicates particles to define actions-reactions in all space-time systems. And affirm that Spatial Energy and Temporal Information combine into fractal actions of temporal energy that generate the events and cycles of communication of reality. Thus the 2nd of fractal geometry defines a line, no longer as an abstract form like Euclidean geometry does, but as a physical wave of micro-points that carry energy and information, as they move between 2 macroscopic points, with 2 possible functions, to communicate energy forces or linguistic information:
2nd Postulate: A cycle of fractal space-time:
‘A wave of communication is a group of self-similar micro-points that move in parallel lines between 2 macro-points, transferring temporal energy between them.
In Fractal geometry a point with parts is never defined by a lineal sequence of numeric intervals within a straight line, but by the communication of 2 poles of energy and information that establish a flow of particles in 2 opposite directions, creating a simultaneous, paradoxical wave that meets in the center. In algebraic terms, a function requires at least 2 parameters, X and Y, which are normally 2 different variables often opposed or complementary, placed in two different sides of an equation, as one tends to be a time parameter and the other a parameter of spatial energy. For example, speed is defined by a parameter of time and a parameter of space, placed in opposite sides of a fraction.
In biological terms, an organism is defined by a head of information, a relative future, more evolved form; and a body of energy, a relative, less evolved, past form. Since the head directs and decides ‘the future’ of the entire system. So a relative informative region is a future form and a relative energetic region is a past form. And both come together into a discontinuous, relative quantic, intermediate region or ‘present space-time’, in which they combine creating ‘reality’. That region is a present region because it is the most visible region of the Fractal point, limited by the future, informative region and the past, energetic membrane of the Non lineal quantic World. For example, we do not see the black hole and dark halo that controls the galaxy but only the intermediate region of stars. In this manner the game of space-time existence that creates reality merges the Non Euclidean mathematical forms and Non Aristotelian functions of spatial energy and temporal information into a new combined form, a relative present, quantic space-time.
3RD POSTULATE: EQUALITY. FRACTAL LOGIC:
According to the 2 arrows of entropy and order, we define 2 opposite kind of Universal events taking place between Ne-points: fluxes that create a symbiotic present from a past energy and a future form of information; and fluxes that destroy the past form, as a ‘victim’ or ‘energy’ of the future. In the graph, a case of Darwinian devolution among men that perceive each other as different and a case of social evolution through parallel love. In the graph, the 2×2 Darwinian Vs Symbiotic events in which a relative form of past and a form of future come together, creating or destroying a relative present.
The 2nd postulate differentiates according to the Fractal Principle 3 types of waves: A language that transfers only information, (Max. i); a force that transfers only energy (Max. E); and a wave of Temporal energy that transfers both forms (ExT). All forces and languages are waves, since actions mix energy and temporal information; which will be perceived as languages when the absorber can decode that information. It is the receiver, which selects the wave as a force of energy or a language of information, defining how it will react to the emitter, according to its self-similarity that will allow him to understand its information. For example, plants absorb light as energy and animals decode it as information; but light is dual.
Thus, the 3rd Postulate defines how forms will react to those waves according to its self-similarity. Indeed, the reader might wonder why geometry needs 5 postulates, if the 1st, 2nd and 4th define perfectly a fractal space/time in 3 ‘growing’ degrees of complexity: the singleton or lonely point, the line of communication or wave and the network or plane with volume. However the 3rd and 5th postulates are not about fractal space but about fractal time; about information and formal equality. Since:
- The 3rd postulate defines the degree of self-similarity between 2 fractal objects. Classic geometry considered equality based only in the external form, regardless of size and inner content. But beyond the idealized world of Euclid, equality never exists when we consider the inner form of those points made of inner networks of energy and information that contain dark spaces and inner parts, which make even twins slightly different. Thus fractal geometry defines instead the relative degree of equality of 2 forms, according to the self-similarity of its inner, informative content and scale, not according to the equality of its external, mutating membrane, which often is hiding, as in camouflage, a different form.
Thus a fundamental change in our concept of truth follows from the understanding of self-similarity as a different proposition to equality: If Euclid defined equality based on the surface of objects, without taking into account their relative size and inner content, this no longer holds. Things might be similar in their surface and maybe in their content but they are never equal, at most self-similar, nor are equations and any linguistic state an absolute prove of truth, but linguistic self-similar images of the recurrent cycles and events they represent.
Otherwise there could not be hunting, based in the strategy of camouflage, as predators simulate the external form of victims or hide in dark spaces, from black holes to lionesses. Self-similarity matters because the social evolution of points around networks that deliver the same energy and information require of the capacity of those points to process the same energy and information, with its inner parts. Thus only self-similar cells with the same ‘genetic=temporal information’ evolve into organisms. For the same reason, since reproduction is based in genetic information, only species with the same genetic information can reproduction. While species that cannot share information to hunt through common networks or reproduce will consider the other point/species a form of energy and prey on it. Thus surprisingly enough geometry determines behavior; form and function again go together and fractal geometry tends a bridge between physics and biology, explaining how species will communicate: if those 2 points perceive each other as equal, they will evolve into a social network co-sharing their ability to gather energy and information. If those 2 points are unequal, they will establish a Darwinian, hierarchical relationship, in which one becomes the victim and the other the predator. Thus the 3rd postulate is no longer an abstract, geometric postulate, but a postulate of logic relationships, fundamental to understand the ‘why’ of movements and behaviors; and prove again a fundamental theme of religion: forms that are equal, in this case all humans who have the same genetic information, since they can all reproduce, should love each other, and share energy and information to create a collective organism, a global civilization or God of History. Since self-similar points evolve socially though networks and communicate through a common language of information to survive better as a single social species:
The 3 arrows of Time:
‘Points that are self-similar in space-time will evolve socially into a present spatial network. Points that are different in information will treat each other as relative energy and evolve towards the future into a hierarchical organism as a system of 2 points, one of energy and one of information, related by constant flows of energy and information. Or devolve towards the past into a Darwinian system is one in wich both flows are not constant.’
The 3rd postulate explains why we men do not perceive the intelligence of all beings in the Universe: beings perceive itify other forms whose flows of communication don’t understand as energy forces that they ‘destroy’ and feed on, without perceiving its ‘organic qualities’. However as we shall see (), even the smallest point known to man, the photons of ‘light-space’ show the 4 basic qualities of all organic systems that biologists use to define life, the capacity to process energy and information and the capacity to evolve socially and reproduce: photons carry energy and act like the minimum unit of information, because light transmits all type of images through its photons; they reproduce their form in the vacuum; and they gather in social herds of colors. That is the ultimate meaning of a fractal Universe that anthropomorphism rejects: the 3+i arrows of space-time are the will of the Universe that all its beings share across all its planes of existence.
Thus when we generalize the previous postulates to n-points in communication we create a finite ‘plane of existence’ or ‘cellular organism’, defined by the 4th postulate of i-geometry which explains a plane as a network of ‘simultaneous beings’ created by the multi-causal flows of energy and information between all those points that flux, merge and knot into the organism. Indeed, once we have clarified that the Universe is made of points filled with temporal energy, it becomes clear that the fundamental mathematical property of those points-beings is its social nature. Since a number – the social unit of algebra – is a social set. While a plane – the social unit of geometry – is a social herd. Thus, the fact that all beings have mathematical properties means they associate in herds and organisms, represented by sets of numbers and topographic 4-D planes, which are quantic networks made of fractal points with a certain content of spatial energy and information.
Social Evolution. The duality between Darwinian and loving behavior.
Most systems are herds of energy and informative cells put together into heads and bodies that merge, creating organisms and species. How individual cells create those complex organisms? How do atoms evolve into the molecular social Plane and molecules into the cellular Plane, cells into organisms and individuals into societies? Through Social, informative evolution, the most extended phenomena in the Universe by which individual beings become organized into herds. Biological sciences have taken very long to accept Informative, Social Evolution, influenced by the single arrow of energy and the subsequent excessive importance that its founder, Darwin, gave to the fight between individuals within the same species. Only in the XX century with the development of the sciences of information, Complexity, Systems Theory and Ecology, we have realized that the Universe is based in the social informative evolution of micro-organisms into macro-organisms. The existence of informative networks and languages of information shared by those organic cells explains the growth of species in Plane and size, from individuals into societies, according to another fundamental duality between energy and information. Social events can be either energetic, Darwinian, destructive, or symbiotic, informative, reproductive:
- Complementary, in-formative, present, balanced events happen when the organisms share the same energy and informative signals so they can communicate and join forces in their fight for existence. For example, in gender, the female is the cyclical, informative entity that merges with the lineal, energetic being male, only when both belong to the same genetic, informative species. Those social events evolve individuals into couples, groups, herds and cellular organisms that use the same energy or information, creating an evolutionary arrow of social love, based in the sharing of the same energy and information.
- Darwinian, energetic events, when the inversion of form is so marked that both entities cannot share the same language of information and form a couple or a herd. Then the stronger predator will try to explode through the arrow of death the information of the prey into energy and absorb it to recreate its form.
Such duality of behaviors in the Universe has set an eternal argument of philosophy between Darwinians vs. believers in love. Yet as most dualities of science, it reflects merely the paradoxical nature or behavior of the Universe: beings that speak the same language of information evolve socially to search for energy, inform themselves and when they are very similar, belonging to the same species, reproduce, accomplishing the wills/arrows of time in a more efficient manner. While individuals who do not understand their information obviously interpret the other as energy and try to hunt and destroy each other. Thus again duality proves that neither Religion nor Darwin are wrong. Each explains an arrow of logic time that we can resume in a statement, which is the foundation of all bio-ethic systems:
40. ‘Love your neighbour and hunt all alien beings.’
Yet since men are all equal genetic species, they should all love each other and evolve into a higher organism, humankind, as prophets of love have always told us, in order to be more efficient and control properly Mother-Earth. Unfortunately human beings still fight wars based in the limits of our perception, which is external and makes us think our nations are different species because they speak slightly different informative languages or races are different because their skin has a different color. The result of such short-sightedness is that we have created partial, fractal social organisms with boundaries called nations. Thus Social Evolution deals with the fight between species and the way in which individuals of the same species organize themselves into societies, stronger than individuals, fitter to survive. Of course individuals fight for survival, but Evolution is a game of species. So the key to survival is not the individual but the cohesion and organization of a group of individuals belonging to the same species that act together with a higher energy and informative force than the individual and so the social individual survive better as part of the larger group.
Today we know that individual lions are less successful than hyenas and wild dogs that hunt in group (25% of captures in lions Vs 80% of captures in wild dogs). Even in the case of Germany, despite its ideology of Racial Darwinism, what really worked was the group – the German collective spirit that made the German army better than the individualistic Italians or disorganized Russians, till communism in II W.W. made them fight as a single organism…Thus social evolution, contrary to common belief, is much more important than dog-eat-dog societies. And that law applies to all systems in the Universe, including herds of stars (galaxies) or herds of molecules (cells) that capture interstellar gas and lonely atoms and explains the st-planes of the Universe as no other theory can.
The fact that the social organism is fractal, quantic, limited in its energy and information is ultimately the reason why individuals come towards the social networks and evolves socially with other cells, since they require energy and information than the networks provide, becoming addicted to them. If the Universe were a continuous infinity with a single ‘immortal time’, there would not be social organisms, as our inner time of existence would be infinite. Thus survival is again the biological function that explains the existence of organic networks and its cells from the perspective of our limited fractal quantity of life-time.
4TH POSTULATE-DIMENSION
PLANES OF EXISTENCE.
In the graph, a human being exists through 10 planes of existence, from electromagnetic space to the cosmological plane of the solar system, and though we only see our present space as an organism, all those planes from relative past to future influence us and form part of our modular consciousness, as we feel them through different senses… Riemann also hinted to the scalar structure of space with its Riemannian surfaces, polynomial planes which communicated through a narrow path that transferred energy and information between them, which in the case of gravitational space would be defined in Relativity as the ‘Rossen Bridges’ of black holes and other massive regions of the Universe. Let’s consider from the perspective of cyclical time those Relativistic structures between planes and points.
In fractal geometry a dimension is a flow (dynamic version) or network (static version) of quantic, cellular points, gathered into bidimensional waves and 4-dimensional space-time fields. Even the smallest points gather in waves, which scientists call strings and have 3×3 inner dimensions. Those lines then gather in herds called electromagnetic branes, which warp into particles. And further on 3-D particles form networks that become atoms, and the process repeats once and again till creating human organisms within which those organic points, now called cells communicate energy forces and informative bits. Thus, as a consequence of the new definition of a point, a fractal plane becomes now a 4-dimensional ‘holographic topography’ with 4 information and energy ‘dimensions’, needed by those points to absorb energy and information: informative height that allows the top head to observe the Universe, cyclical rhythms that allow the being to perform its existential cycles, length-speed that moves the being and width-energy that allows the being to store and reproduce its cells. So all planes are quantic networks of social points/cycles put together by n-flows of temporal energy, which have ‘dark spaces’ within the holes of the network:
37. ‘A plane is a network/organism of n-points joined by flows of energy and information’.
For example, each human is made of specific quantic points of space-time, that we call cells, gathered around informative, reproductive and energetic planes/networks, the nervous, blood and digestive networks that give 4-dimensional volume to the human space-time. But there are many types of points with parts gathering in networks of temporal energy: atoms gathering in molecules, stars in galaxies, strings in particles, etc. We cannot go further into more complex, analytical descriptions of the previous postulate. We just might wonder, since those planes are relative worlds displaced in time, networks disconnected from the other planes, how a given space-time scale, the cellular or atomic scale, relate to its higher i-plane. And the answer, already mentioned is: through asymmetric flows of energy and information that Relativity defines as ‘one-dimensional, Rosen bridges’, essentially a single flow of energy from past to future, from the microcosms to the macrocosms, or a single flow of information from a relative future, the higher i+1 plane, to a relative past, i-1 plane:
In this manner the fractal Universe keeps adding dimensions, as each point becomes part of a network that evolves itself into a point of a higher t-dimension. And depending on the number of dimensions we observe a point through, the total dimensions of the point will vary. As a general rule however, any species of the Universe is fairly described through its main Plane of existence and its lower and upper planes. So a human being is described perfectly as a cellular system in the st-1 Plane, an individual in the st-plane and a relative point co-existing with other individuals in a society in which s/he feeds on energy, information and reproduces. For those reasons we can consider that any point of existence will be described exhaustively when we consider the 9 dimensional networks of each 3 main st-planes.
36. Fractal ±st-point: 3 st-1 Dimensions > 3 st-dimensions > 3 st+1 dimensions.
A fractal point or ±st-point, exists as a 3 dimensional organism, which acts in the external world pursuing energy, information or reproductive goals (either mechanically, consciously or in a vegetative way, or even micro-managed by a catalyser or enzyme – facts those which won’t matter to its dimensional description). In all those cases, time, understood as a form of movement, will be a geometrical movement or cyclical trajectory but also a temporal cycle with a biological, energetic, reproductive or informative function; and a movement traced through a dimension of the upper st-plane of the point. So when a human goes to feed on a dinner, it will enter into a social network of human points feeding on that dinner, which will form an organic system of the upper st+1 Plane. When an electron flows in a metal network of atoms, it becomes a carrier of energy or information between those atoms, and so to its 3 inner dimensions we will have to add an external social dimension in the atomic Plane (the only one physicists study in that case). Yet the electron have also inner dimensions, defined by its quantum numbers.
How many scales reality has beyond the 10 scales humans perceive? Given the flexibility of size and speed of gravitational forces, whose waves Einstein calculated could extend to the size of the entire Universe those scales might be infinite It is also the logic result of thinking in mathematical terms, as the simplest informative fractal, a disk, given the irrationality of π, can reach any infinitesimal size. Ultimately is a choice of the reader: if he feels better thinking he is the center of the Universe, the Anthropic Principle considers that there are only 10 scales and we are at the center. If he is objective he would observe that for survival reasons, spatial perception always puts him in the center of all his observations of Nature. Thus in the same way space is infinite but we are in a limited perceived self-centered space, the scales of temporal complexity should be quasi-infinite. And from the perspective of an st=1011 being, our Universe should be far smaller than a Planck string is for us.
The mathematics of transcendental evolution are those of self-generating, reproductive fractal geometry that iterates cells and reorganizes them through palingenesis when it reaches a number of 10±10-11 cellular units. The organization of those scales can be described mathematically as its main law is rather simple.
38. Energy flows from an st-1 scale into a complex, future st-scale: Est-1TI.
Information flows from a st scale into a simpler st-1 scale: TI >Est-1.
Reproduction occurs in the same st-scale ΣS<=TI
Fractal spaces are self-generated by seeds of its microscopic scale: a code of information compressed in very limited space (an equation, a DNA code, a big-bang code for the Unification theory searched by physicists to explain the Universe), replicates its form in biological radiations that multiply the fractal space time cells of the system and end up recreating a new macro system. Those waves of information and energy are thus big bangings and big bangs that explain ∞ events of reality. Yet they have not been accurately defined, since Einstein lacked the finite, dimensional concepts of fractal geometry needed to explain them. This changed in the 70s and 80s with the work of Mandelbrot and Mehaute ,which proved that for the arrow of time to continue when a system was not releasing energy, it was recreating information in fractal forms, which self-replicate the information of the being. In nature those micro-structures detach themselves from the being and absorb energy in the environment growing in size, self-replicating. So the fractal transmission of form is the most important event taken place in the Universe. From genetic information transferred between living beings through a fractal process of palingenesis to the creation of mental ideas that we convert into bigger machines, fractal replication between different planes of fractal space-time with finite dimensions, is the essence of reality. And the previous law regulates those processes at scale through which the different Planes of reality interact.
The order between those scales is hierarchical. Species in different planes of space-time interact within each other transferring energy and information. Yet the bigger structures control and order the smaller pieces, its parts that become wholes through the arrow of life or disintegrate those wholes back into parts through the process of death. And such interaction is possible because in those different Planes, from microcosms to macrocosms, energy and information have self-similar forms that make the shapes of atoms similar to the forms of galaxies and stars. And follow self-similar laws of harmony. In terms of hierarchical order, we observe that the bigger an entity is in space, the longer it lasts in time, ΣSTI. That is, the amount of time and space of the different structures of the universe is in balance. While in terms of hierarchy the bigger scale orders and transfers information to the smaller scale that transfers mainly energy to the bigger form. Those 2 arrows of time, energy and information imply that the bigger scale or network – for example, the nervous system in man – controls the lower scale of cells, which in turn feeds the upper scale.
We can observe those processes that relate species of different scalar worlds through restricted flows of energy and information also in the realm of social sciences, when men become aware of their collective societies. Religion considers that awareness the most elevated feeling – when humans acquire consciousness of the existence of a scale of information bigger and more complex than the individual, a social God from the upper scale of mankind, a nation or civilization. Or we can use General Relativity and mathematics to describe how those flows of energy and information transcend or descend between scales through the so-called Rossen Bridges that connect different scales of the Universe. Yet since Einstein merely applied Riemann’s mathematics to physical space, a wider model of space-time should rather return to the original work of Riemann to fully grasp those fractal spaces.
What Einstein did was to use some of the features of Riemann’s description of any space-time geometry to describe gravitational space/time, assuming, due to the error of continuity, that it was the only real space/time of the Universe. Now, thanks to a better understanding of fractal geometry, we will be able to apply the discoveries of Riemann and Einstein to any fractal space-time scale of the Universe. Moreover, it is only logic that since what Einstein did was to apply a Riemannian space-time to describe gravitation, modified to introduce the erroneous concept of continuity proper of Cartesian space, we shall return to the original, and study as the paradigm of a fractal space-time, Riemann’s description instead of Einstein. And indeed, when we consider Riemannian spaces, we find they have all the proper features of movement, cyclicality, discontinuity, self-similarity and organicism we have already found for any scale or space-time organism. Since Riemann used a complex mathematical description and we are making a conceptual book for scientists of all disciplines, we will make our best to translate those mathematical properties in verbal terms. After all, once Riemann ended his dissertation, only a person in the audience claim to have understood him – his master Gauss, who already had worked in a similar Non-Euclidean structure of space-time.
We should first notice the underlying quantic nature of Riemann’s geometries which in its now famous dissertation described ‘empirical, real space-times’ as a series of ‘quantic points’ that represented ‘real entities’ moving in ‘cyclical paths’. So Riemann affirmed that there were infinite space-times made of ‘cellular species’ that moved together in social cycles when they were equal, with a degree of proximity based in those ‘common properties’, creating relative ‘quantic dimensions or networks’ of a certain space-time.
In other words, he affirmed that ‘self-similarity’ is the key to social behavior (3rd postulate of fractal geometry), as points/beings that are self-similar come together, forming tightly packed networks we call organisms; while points which are not self-similar in their ‘common properties’ become separated. And he put the example of photons that created ‘light-space’ as they gather together according to their self-similarity in this case their common frequency=color. Indeed light is the relative space our eyes perceive. And it is made of quantic points with a certain volume called photons, grouped in colors whose self-similarity is maximal in a laser beam, at which stage they form a perfect plane. Those photons prove that the continuous mathematical plane of mental space is a simplification of a luminous space made of discontinuous packages of quantic energy or actions, which move, change their form and associate in organic groups called photons. The space that we perceive is light as some impressionist painters showed in pictures done with light points that imitated photons. Which explains the other great discovery of Einstein’s Special Relativity: the fact that light speed is constant regardless of the observer, precisely because the space we see is ‘light-space’, the absolute frame of reference of our mind.
Thus in fractal space-times we take to its final consequences those concepts of Non-Riemannian Geometries by re-defining also the 1st, 2nd, 3rd and 4th postulate of Euclidean geometries to adapt them to Riemann’s concepts of a moving, cyclical series of fractal space-times joined by dimensional networks (which will be finite fractal dimensions, made by the addition of a series of self-similar points in a wave or network). The result is a geometry able to describe all kind of real space-times fields, from biological, cellular space-times systems, to molecular networks, to the entire Universe. It can obviously get as complex and detailed as all previous geometries but here we will just outline the 3 inner regions of each point and the 5 postulates, describing its formal relationship with the vital functions and cycles they describe. Since each form of space is a function of time, and hence each formal postulate of fractal geometry correspond to each 3±st function in time of a bio-logical point. We can therefore talk of Fractal Geometry and Fractal Logic as to homologous sciences. Where, fractal geometry is defined by the 3 postulates that create the dimensions of a spatial form, the postulate of a point with parts, the postulate of a line-wave (2nd postulate) and the postulate of a network/Plane. While Fractal Logic is defined by the 3rd postulate that explains the behavior of points according to their self-similarity that will guide them towards a tighter, organic, socially evolving configuration or separate them; and the 5th postulate, the most fascinating of them, since it explains how a macro-Universal image converge through a series of lines of information into a micro-dimensional mind, or point with parts, that reflects in its interior the form of the Universe… All points of the Universe have a central, dual convex topography that informs itself. The 5th postulate of logic geometry shows in that sense, the relative direction of future, the direction of information, since the will of each point of view is to absorb energy and perceive it in its relative center, focus of information. And hence the accumulated will of infinite relativistic monads, each one trying to become the relative center of a fractal world, defines the generic arrow of futures as an arrow that creates form, informative perception in each of those gravitational or electromagnetic points (charges and masses) trying to perceive the Universe.
Physical reality is the partial perception of your mind, which as we have seen causes grave mistakes. It misses a lot of information on the organism, as it doesn’t cross the fractal borders inside the system and it stops the movement into still information. You don’t see the cells of your skin moving. You don’t see either the blood and nervous systems of your body. Yet they are what define you as an organism. Don’t trust your senses. Trust the vital systems of organisms to qualify an entity as such. It is a common error of human perception to ignore the existence of organisms, when we do not see all its cycles and networks. Yet since most organic cells are temporal fractals that repeat their cycles of energy feeding and informative perception in an external territory through extended paths, we don’t see, science hardly acknowledge the existence of cosmological organisms (as we do not see its informative networks of gravitation) or human social organisms (as we are cells inside them that do not see the whole picture). Yet it is not spatial closeness, but the existence of internal networks of communication among the cells what defines a working system as an organism. The difference between a living species and a system of energy-information is clear: The system is not complete, autonomous, self-sufficient. It cannot reproduce itself but needs an external agent or ‘enzyme’ to reproduce it – as machines or carbohydrates do. While a living organism also has inner reproductive organs. A living species can interact within its ecosystem and gather the energy and information it needs to achieve reproduction. Which is the 3rd, ultimate arrow that resumes the game of existence that all fractals follow in the Universe; all of them reproduce and preserve their quantic form either internally or externally through enzymes that catalyze their reproduction.
So we describe Temporal, Organic fractals with 2 terms of increasing complexity: a fractal system or network, which is incomplete, since it doesn’t reproduce internally and might not be able to self-organize itself, but requires the collaboration of an external agent; and a (super)-organism in which the arrow of reproduction is internal, iterating the initial fractal units of energy and information into 2 networks that finally combine its energy and information creating the 3rd reproductive network that perpetuates the self-sufficient species.
Most organisms and its cells are in a dynamic equilibrium produced by the 3 flows of energy, information and reproduction provided by the networks. For example, a human being is a fractal form, made of trillions of cells, connected by flows of nervous information, digested energy and hormonal, reproductive blood messages. Thus a relative infinite number of ΣS TI cells become joined by those 3 networks, creating a human organism. And all those t-cells together create a unit of the higher st+1 scale, a human being. Then the entire process of iteration, self-organization and emergence into a higher t+2 scale, the social scale of mankind, of nations and civilizations, starts again. In this manner through eons of evolution, both the human being and the Universe have become organic systems extended in multiple i-scales of growing social complexity. Its final form size and content of energy vary but the process is essentially the same.
39. Scalar arrows: st-1 Past-Energy -> st+1 Future information ts<-reproduction-> ts.
Since a macrocosmic being (a molecule for an atom, a cell for a molecule and so on), has far more information, it is more evolved, it is the arrow of future, social evolution that creates macrocosms from cellular beings and establishes a hierarchical, asymmetric, duality of social, organic classes in all systems, between the information class (the neurons, the governors, the rich with financial information, the politicians with legal information) and the energy class (the cells of the body, the workers, the citizens). Such as the energy class gives only energy and receives orders and the information class gives only orders and receives energy. While social, democratic love, max. communication, sharing of both energy and information and reproduction occurs between cells of the same social class/plane.
The result is a dual, or ternary organism: it has at least a body of energy that obeys a head of information and both form different planes of existence with different degrees of informative power. If we extend to any number of cells and i-scales, the structure can be as complex as we want, as we fractalize those classes/planes, communicated by one-dimensional, asymmetric arrows of energy and information or Rosen bridges, which Einstein used to study a particular case: the flows of energy and information between the plane of gravitation and electromagnetism. While in a more detailed analysis, since those arrows are relative and each yin has a drop of yang, we will observe merely that in those flows ΣS->∞ and TI->0 in a flow from past to future, from the class energy to the informative class and vice versa. Thus, the st parameter becomes essential to analyse energy and information exchanges between the different microcosmic cells and macrocosmic systems of any fractal, including man: as a human being you are an st=4, 5, 6 species; since your organic system belongs to the st=4, 5 scales of biological cells and living beings, and as a human you belong to the st=5, 6 scales of individuals and social organisms – as cell of a nation or religion. So it is a fact of history that you belong to a certain social class, depending on your information and the control you have of verbal laws and financial money, the 2 language of information of human societies. Physics calls a dual plane of energy and information, a field of energy forces ruled by informative particles; a biological dual system an organism with an energy body and an informative head; and a sociological system of energy and information, a society with a mass of citizens and an informative government. Yet space-time fields, organisms of energy and information and societies, respond to the same laws and properties of fractal space-time. Since the formal analysis and the study of the hierarchies and relationships between any st-fractal and its lower and upper ±st microcosms and macrocosms, is an essential part of Fractal Geometry that can be applied to any fractal system in the Universe.
II. THE 5 POSTULATES CREATE SUPERO-ORGANISMS..
Energy and information systems are i-space/times with 3 organic classes:
-The ‘higher’, dominant informative nucleus and energetic membrane and its networks that control.
- A middle mass of ‘cells’ in cyclical movement between those 2 discontinuous limiting zones.
- That destroy the ‘lower’ energy and information bit(e)s coming from an outer world
In the graph, a cannibal galaxy traps smaller ones between its informative nucleus and star body; the sun uses its planets’ orbits to feed on fractal space-time, so does the nucleus of an atom through its electrons; a DNA cell through its organelles and the brain of an animal, through its body.
The orbital, energetic cycles of the Earth-Moon system are parallel to the cycles of reproduction of its i-1 living quanta. An organism extends through several scales of growing form. Since microscopic, quantic species become chained to stronger, TxE species, as their relative energy and information quanta of a ‘lower class’. In the image, Gaia, the Earth’s surface, is a I-point, made of organisms made of cells, made of atoms, made of quarks, all chained by their organic cycles.
22. Organic, social classes.
The networks in control of organic quanta are closely related to the 3 zones of a I-point. Both together define the existence of ‘3 social classes’ with 3 clear temporal, organic functions in all I-organic systems of the Universe that we define according to its relative TxE force:
- Max. T x Max E: The future, dominant quanta are the informative center or brain and the energetic membrane. In an organism, they are symbiotic and control the intermediate region: they absorb energy and information from the external world, passing it to the intermediate, ‘middle class’ region to replicate the specific temporal energy they need… In ecosystems they are the top-predator species and often establish Darwinian relationships, as men and lions do (4.26).
The Universe works through ‘quantic impulses’ that combine energy and information, called TxE actions. Thus, since the top predator informative cell is the fastest cell processing information and the membrane is the fastest entity, moving and processing energy, their combined quantic actions Max. E x Min. T, are more powerful than the rest of the actions of the system. In ecosystems those cells work often in collective herds, which act simultaneously, joined by a common informative language that multiplies their quantic action, against disorganized forms. The result is a universal arrow of social evolution that creates from individuals to herds, and from herds, tightly packed organisms, directed by an informative language, since a herd is less efficient than an organism. So men have evolved socially in groups, hordes, tribes and tightly packed nations, controlled by legal and financial languages. Top predator ants and bees have become the most successful insects, because they developed super-organisms with chemical languages. In the Universe black holes fusion in bigger black holes that gather in the center of the galaxy, acting as ‘gravitational animals’ that perceive gravitation as information (as animals do with light), controlling with gravitational waves their stars. While stars are ‘gravitational plants’ that absorb gravitational space-time as energy, as plants do with light and hence can’t evolve informatively. Finally in the cell the informative RNA forms herds that control and organize their organelles with the genetic language.
- E=T: A mass of ‘present’, cellular quanta, form the intermediate region or ‘body’ of the organic system. It is the working, re=productive ‘middle mass’ that re=produces most of the complex elements of the organism under the orders of the informative classes. They are the workers of human societies that reproduce their goods under monetary orders. They are the stars of galaxies that reproduce their atoms. They are the herbivorous animals in the ecosystem on which carnivores prey. They are the electrons of the atom that gather electromagnetic light for the nucleus. They are the stars of the galaxy. They are the glandular cells that form the organs of a body and reproduce their substances controlled by the neurons. They are the proteins and genes of the cellular ecosystem. They are the citizens of a political system that obey the informative laws.
- Min. E x Min.T: Together the upper and middle, informative and reproductive brain and body prey and feed on the external, ‘lower’, past class, made of bits of information and bites of energy of minimal size, which the other classes absorb from the external world or ecosystem, beyond the discontinuous limits of the world that becomes the ‘vital territory’ of the organic system in which it obtains its temporal energy to energize and inform themselves, destroying those lower, energy quanta in the process. The lower class tends to be an undifferentiated mass made of quantic pieces, full of energy with minimal informative perception: divide and win. They are plants on Nature; they are the stellar dust and dark energy that feeds and informs the galaxy; they are light quanta, carbohydrates and water in the genetic, cellular ecosystem; they are the machines of the economic ecosystem; they are those punished by the law in societies: criminals, enemies and emigrants, submitted to the racism of the other classes. They are the food and red cells of the blood system, without informative nuclei.
In terms of Time, those 3 regions establish a relative order from past to future, as the external, quantic forms that penetrate into the Non-Euclidean point are the relative past of the space-time field, which become destroyed and processed by the central region, the relative future towards which they move. So the central form is the future and the external world is the past. While in between those 2 limits, the intermediate region becomes the relative present of the system. In the galaxy, for example, the black hole is the relative future of the stars than in the future will end up falling into the black hole; while the stellar dust is the relative past-energy they consume:
Min.E+ Min.T (Past, energy class i-1)=> ext: Present, Reproductive class (i) => Max. ExT (Future, dominant, top predator Class: i+1)
In all systems, the stick and carrot, punishment and prize duality of negative and positive arrows provided by the 3 physiological networks control the 3 internal cycles of its cells, which have to obey the organic systems if they want to ‘exist’; that is, to perform those cycles. And so we often find 3×2 ‘elements’ of positive and negative control, that structure a certain system as the dual arrow of entropy and its 3×2 drives of negative and positive existence.
A fact that explains why cells exist tied up in complex organic systems so well programmed. Since according to organicism, the laws of the Universe are not imposed mechanically but through the will of ‘existence’ of its I-points, which make the best choices driven by their desire to process energy and information and survive. A man, for example, can rebel at his own risk against the networks of power. You can obey an informative law and be rewarded or deny the law and be punished. But if the system punishes you it will extinguish you and another obedient citizen will occupy your place. So most humans always obey the law of its physiological, social systems. Yet if men, which are among the freest of all GST points, as they have self-consciousness, are so slavish; it is obvious that those points whose ‘will of existence’ is a vegetative or mechanical ‘action’, obey totally those networks. Physiologic networks rule indeed any biological organism to the point that doctors consider most sickness caused by the malfunction of physiological networks, which ‘extend’ the sickness to the individual quantic cells they control.
In any organic system the dominant informative and energetic networks control and distribute its energy and information in 2 flows with opposite entropic directions: information orders of control are flows that depart from the dominant informative singularity towards the membrane across the middle class; while energy comes form the membrane towards the center. Both flows create together a dual structure of max. Space-Time force or Momentum, the fundamental parameter that defines the power of any organism (max. ExT). So together the dominant classes organize with their dual energy and information the quantic elements of the intermediate, middle mass zone or body. Finally the middle class will absorb, destroy and transform the minimal quantic units of temporal energy of the external Universe, or lower class, which is divided in small, disorganized quantic elements; transferring part of them to the membrane and center.
In human societies the army, which displays energetic weapons mostly in the external border and the government and moneyed people that control the informative, legal and financial languages of power are the dominant class. Then there is a middle class of citizens that obey those groups, which limit their freedom. And finally there is a lower class of ‘immigrants’, ‘enemy nations’ and bits and bites of raw materials and machines, whose rights as non-citizens or objects are null.
Yet those classes exist in all organic systems beyond human societies:
In a human organism the brain and nervous, informative system, the neurons and the stronger, energetic cells, the leukocytes and the epithelial tissue, control also a mass of cells, which reproduce in the different organs of the body the products the organism consumes, constructed with the bits and bites of energy and information the external world provides and the human organs destroy and reform. If we consider a galaxy, the inner black hole and the halo of dark matter confine a middle mass of stars that turn around the black hole. While the external intergalactic space provides the ‘lower’ bites of interstellar gas. So the stars in their spiralled, cyclical movement gather that gas and send it to the black hole that feeds on it. So happens in an atom, in which the electron orbitals gather electromagnetic energy they send to the inner nucleus.
So we might wonder, are human societies just, natural, according to the ternary structure of social classes? No. The present distribution of social classes, proper of human ‘capitalist’ and ‘nationalistic’ societies are not natural to the Universe; since the ‘poor’ and the ‘aliens’ are considered a ‘lower’ class coming from outside the organic system and destroyed accordingly. Yet all men should be considered either informative or middle classes, never lower classes and receive enough energy and information to survive, since we all belong to the same species (13.11). And so according to the ‘3rd postulate’ of relative equality (4.5), we all belong to the same ‘organism of history’. Indeed the higher and middle classes of any organism act together, as head and body of the organic system. Or else when the cells of the body of any organic system do not receive food, the body collapses and dies. Which is exactly what happens in history when the ‘3rd world’ is treated as a ‘3rd expendable class’ by the ruling classes of the system, both inside and outside our borders and they rebel in revolutions and wars that destroy the organic civilization (13.17).
Unfortunately the economic ecosystem spends today most of its resources in our selfish upper classes, even in ‘alien species’, (technological machines and weapons), instead of keeping all the cells of the body of history healthy producing for them the minimal human goods mankind needs to survive (food, education and health-care).
From simplicity to complexity: changes of temporal cycles between Planes.
The orbital, energetic cycles of the Earth-Moon system are parallel to the cycles of reproduction of its st-1 living quanta:
An organism extends through several scales of growing form. Since microscopic, quantic species become chained to stronger, TxS species, as their relative energy and information quanta of a ‘lower class’. In the image, Gaia, the Earth’s surface, is a Fractal point, made of organisms made of cells, made of atoms, made of quarks, all chained by their organic cycles.
The beats of all species, as they absorb and throw back temporal energy, are all chained beats of an interconnected huge organism, the Universe, divided into worlds defined by constants of actions and chains of victims and predators that sometimes form trophic pyramids and sometimes become symbiotic creating smaller organisms, in which the ‘fastest’ temporal beings enslave and control the slower ones. So the faster lion feeds on the slow buffalo, while the fastest neuron controls the chemical cells of your organism, extracting energy from them. An organism, we might say, is a chained system of top predator cells that control herds of tamed chemical cells and an ecosystem is a loose organism in which the top predator ‘cells’ only interact with the slower ones when they feed on them. Biologists are perhaps the scientists better prepared to understand those relationships. Since they have formalized some of those chains between slow and fast cycles that define the hierarchies and organization of a biological organism. For example, the nervous cells act quantically much faster than the chemical cells and so a single nervous cell can control an array of multiple chemical cells, because one of its ultra-fast quantic actions move a big distance that encompasses many chemical cells in the time those cells react. In this manner faster, upper class, informative species control slower middle class cells. In the other extreme a stronger TxS species can create waves of energy and information that extend over multiple cells, and so minute changes on its energy and information parameters affect all those cells, reprogramming them. So a minimal change in the planet’s temperature provokes huge changes in the existence of its living species. If we generalize those chains to enclose all organic systems of the Universe, the main systems of reality acquire a complex, fascinating degree of order and harmony that relates the different cycles of being (its informative, energetic, reproductive, social and generational cycles), as cellular units of the bigger cycles of the macro-organism or ecosystem in which it exists.
According to the Ternary Principle any quantic, cyclical action of any species can be described through its spatial parameter of ‘speed-extension’ and its inverse temporal parameter of repetitive rhythm or ‘frequency’, whose product, ExT=K is a constant of action that defines the existential life-span of the cycle. Yet those actions are the sum of the simultaneous micro-actions of its ‘cellular quanta’, ruled by the black hole law (Min.E=Max.T: smaller beings act faster than bigger ones).
So the questions to solve are: How the faster, smaller, st-1 micro-actions create the slower, big simultaneous actions of the organism? Or in formal terms, what is the relationship between the constants of those macro-actions and the faster parameters of its micro-cellular cyclical actions?
And how each organism relates as an individual quantum to the slower, longer cycles, (Max. E= Min.T), of the i+1, ecosystem in which it performs its actions?
2 facts answer those questions: Chains happen across 3 i±1 levels of existence, what allows to create hierarchical pyramids of unlimited size in time and space, through those ternary structures.
And chains of actions become simultaneous because certain cycles are shorter than others, so the faster speed of micro-cycles is compensated when we chain slow micro-cycles to fast macro-cycles.
Consider the cycle of feeding of a lion. The lion moves through space in certain patterns that displace the lion towards hunting and drinking grounds where he will consume a victim. Thus the energy cycle will be determined both, by the inner vital constants of the ‘st-1 cells’ of the ‘i-lion’, (his cellular metabolism that defines his rhythms of hunger, his muscular speed and his strength that determines the preys of the ecosystem in which he feeds); and by the outer, i+1 ecosystemic parameters, (the spatial distance and ‘informative density’ of preys of the ecosystem). So to define the 2 ExT elements of the lion’s feeding cycles (the spatial trajectory and quantic rhythm of its hunting) we have to know those i±1 parameters. Then we can define totally his feeding cycle. Thus, existential cycles might be very complex but ultimately we can reduce them to a quantic ternary equation product of the Space-time parameters of those 3, i±1 levels. Hence the importance of ternary chains to define Universal events across 3 hierarchical planes of existence, from the chains that happen between the ‘3 social classes’ of an organism, to the physical events that happen in 3 scales of matter, to the 3 levels of humanity (the biological, individual and sociological level). Since all cyclical systems are defined by the relative S-T parameters of those 3 i±1 scales.
For example, in Physics Einstein defined the cycle of gravitational ‘feeding’ of a planet, which moves in the flows of space-time around the star with the S-T parameters of 3 physical scales: the energy and temporal mass of the planet (i), the ST parameters of the solar ecosystem (i+1), and the S-T ‘universal constants’ of vacuum, the smallest gravitational space-time (st-1).
Maxwell and Planck defined the temporal frequency and energy cycles of a light photon that absorbs space-time energy and deforms it into a light-wave only with the action constants of 3 scales: the st-1 constants, or magnetic, spatial, and electric, informative constants of vacuum (c=e 0 x 0 -1/2); the i-constant of light (h) and the quantic, social constants of photons, as part of a bigger social, i+1 wave (E=hv). So we define a basic law of hierarchical systems:
‘The external and internal i±1 constants of action of the macro-ecosystem and the micro-cells of an i-entity determine the ET parameters of its existential cycles’
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Thus most systems, despite its individual ‘vegetative will’, perform a cellular, cyclical function within the macro ecosystem in which they exist. In the previous example, photons are individual forms that feed on micro-electromagnetic constants creating a reproductive c-wave. Yet most photons could not exist if 2 bigger, i+1 atomic particles had not reproduced them to communicate energy and information. In fact, the macro-organic dual atomic system that emits and absorbs the photon, determines its ET, frequency and energy parameters and its generational life span, given by the distance between those 2 atoms.
Yet, since the life of a quantum is a mere moment in the longer existence of its organism, to create the effect of simultaneity, microcosmic, fast, quantic cells have to chain their longer ‘existential cycles’ to the shorter cycles of a bigger organism or ecosystem in which they will exist as a mere quantic instant of those shorter cycles. As a Hindu proverb says: ‘a blink on the eye of Vishnu, the Universe, is a life of a planet and a drop of sweat of a planet is a life of a human being.’
In terms of existence, it means that the life of a quantum depends on the length of the cycle it performs for the bigger system that controls the quanta through its networks and informative or energetic fields:
The shortest cycle is the informative cycle that absorbs energy particles, transforming them into bits of information, perceived by a sensorial organ or mind. So informative particles are the smallest ones and the ones that live shorter within any organism. For example, a human being consumes a newspaper a day and then it burns its atomic quanta; an eye consumes a photon in a microsecond…
Next comes the feeding, energetic cycle that absorbs bigger energy quanta, transforming those quanta in ‘cellular components’ of a body, once the informative cycles have perceived the food. And so an energy quantum lives a little bit longer than an informative cycle. A pig that feeds a man lives longer than a newspaper and also its ‘final consumption’ takes longer than reading that paper.
Then, it comes the reproductive cycle that handles huge amounts of energy and information to create a being, repetition of a bigger organism. A woman’s ovule stays on her body all her life and it takes 9 months to become a baby…
Finally, the longest cycle is the generational cycle of the being, from its birth to its extinction (±). So those cells that carry the ‘existential will’ of the being last longer: a man has the same neurons all his life. And so, through that longer generational cycle a new chain starts, now in the next macro-level, the macro-ecosystem or macro-organism in which the being exists with an inverse fate, as a mere quanta of the macro-being. Since he who killed micro-beings to feed and inform himself will be just a micro-being that feeds a bigger world.
It is the social cycle, as the quanta gathers in social groups to perform energetic or informative actions for the bigger macro-organism that lives in a longer scale of time and controls him. For example, if you are a soldier, your national organism will sacrifice you in an energetic cycle when the nation conquers and ‘feeds on’ the wealth of other nation…
So we establish a basic existential chain between the TS cycles of those 3 ×st scales:
(Informative>Energy cycle)st-1>(Reproductive cycle)i>(Generational-Social cycle)i+1
- Since the existential cycles of st-1 particles are the energy and information cycles of the i-being.
- While the reproductive cycle happens in the same i-level of the organic system with a couple.
- And finally, the generational cycle of the being becomes, as a part of a social herd made of similar individuals, a submissive energy or information cycle of a macro-organic system, i+1.
Thus any organic system is a sum of 3±1 types of cycles, chained in hierarchical structures across 3 levels of complexity. The existence of any quantic being happens in those 3 TS planes within any organic system or ecosystem, in which he is a relative energy of bigger being, an equal, social being to its pairs and the informative master of smaller quanta. We formalize those ternary functions as Cyclical Time sub-equations, to which we ad the hierarchical, informative index, i:
- etst-1>Ti: The being is a dominant macro-point of time, Ti, which absorbs a flow of temporal energy from a herd of micro-quanta (etst-1) that it controls with its physiological networks. So your cells are controlled by your blood and nervous systems.
- ExTi: It is an individual quantum that relates to similar cells, in an environment in which it searches with similar couples for its main existential will: its generational reproduction. Thus i is the fundamental plane of existence of any being, the region in which it perceives more, and plays its most satisfactory cycles of existence.
- Ei>0i+1: The point performs an energy function for a bigger social plane. For example, the govern controls you as a social micro-quanta of a nation, which makes you die in wars or takes your energy through taxes.
From that 3-scalar order that structures any particle or cycle of existence (static or dynamic perception), it arises the relativity of existence, as any being is king of its territorial hill, friend of its friends and slave of the World or ecosystem in which it exists.
It is an order we find in all planes of existence, including the physical Universe. For example, in Biology, an i-mitochondrion uses st-1 protons to deliver energy to the bigger organic i+1 blood networks in the form of ATP. So the atomic, cellular and organic scales define the energy cycle of cellular breathing. While a star turns in cycles with other stars, feeds the galactic black hole as a quantum and feeds itself in quantic stellar gas. A light ray feeds on electric and magnetic constants, gathers socially with photons and it is absorbed by a bigger electron, etc.
In a dynamic, temporal way, we can also consider how the relative frequency of those cycles or ‘time clocks’ chain the long cycles of fast micro-entities to the short cycles of slow macro-entity, creating an harmonic order between the different planes and social classes of the organic Universe. Since an informative cycle is faster than an energy cycle, which is faster than a reproductive cycle, which is faster than the complete generational cycle of the being; while a macro being is slower than a micro-being, we write 2 basic chains between those cycles and beings:
Microcell’s Informative cycles= Cell’s energy cycles=Organism’s Reproductive cycle
generational cycles of microbeings = Social cycles of Beings ->E/T cycle of macrobeing
Those ternary chains between the fastest cycles of macro-beings and the slowest cycles of its micro-beings create simultaneous, symbiotic actions along 2 planes of existence:
Informative frequency of the macro being => Energy frequency of the micro cell
Thus the fast, informative cycle of the slow macro-being is transformed into the slow energy cycle of the fast cellular micro-being, in a symbiotic chain that make it dependent on that macro-being. For example, the fastest Earth’s cycle is its informative, cyclical rotation as a mass vortex that determines the day-night cycle of light, which feeds its living beings. So, the living st-1 cells of Gaia, its plants, feed with the day light, while animals have a ±1=3 energy cycle of 1 to 3 meals a day. So both time to the informative light-day cycle of the Earth, their energy cycle. If we lower the scale of analysis, the same cyclical chain happens between the animal and its st-1 cells. Mammals have a rate of informative perception of a second, the rate of blinking and thought. But a second is also the rate of breathing and the heart’s beating that transfers energy to its st-1 cells, becoming thus the energy rate of feeding of those cells.
A homologous relationship chains symbiotically microcosms and macrocosms in the next, longer 2 cycles, the energy and reproductive cycle:
Energy frequency of the macro being=> Reproductive Frequency of the micro cell
By homology with other organic systems, we consider that the energy cycle of the Earth lasts the year it takes to cross its space-time territory, its orbit. For example, the energy cycle of an animal is a day. Yet the size of its hunting territory is also the space it can reach within a day. Therefore, as in the case of an animal, the main energy cycle of the planet is the year-time it takes to sweep its solar orbit, the ‘organic territory of the planet’, where the Earth absorbs its gravitational energy, deforming space-time according to Einstein’s equation. While the secondary Earth’s energy cycle is a months in which its satellite, the moon, sweeps around the Earth’s orbital territory. We obtain thus, the 2 main cycles of transformation of gravitational energy into by the Earth-Moon system: the lunar cycle and the annual cycle. And those 2 cycles are also the reproductive cycles of most animals. Thus in the human being the menstrual cycle is a lunar cycle. Whereas the cycle of reproduction of a child lasts 9 months. While in nature almost all reproductive cycles have an annual frequency, happening in spring or summer, when the sun’s light absorption is maximal. Which is the obvious reason why those cycles are linked: while the macroscopic being absorbs energy, it allows its cells to use that energy to reproduce. Again, if we lower our scale, an animal as a macro being has a cycle of energy of a day. That period is also the cycle of reproduction of most cells, called mitosis. Yet reproduction is discontinuous as it only happens when the ‘optimal energy and information’ is available during a small interval of the total existence of the being, in general in the second, mature age of balance between energy and information.
It seems, hence that the micro-being is fed and reproduced by the macro-organism, the good god of its existence. Yet ‘the good god’ is actually a farmer that reverses its arrow of order for an arrow of entropy and destruction when it uses the ‘existential cycle’ of the micro-being as a mere quantum of its macro-organism. So we feed and reproduce pigs but end up eating them. In a sense, we can say that all organisms are ‘farms’. So pigs feed men; stars fed by the interstellar gas attracted by the black hole’s gravitational power, also end up feeding the black hole; and fat cells fed by the organism end up killed, feeding the macro-organism. So in that inverse, final cyclical chain between the microscopic and macroscopic being, the ‘relative God’ takes all what he gave. Thus there is an inverse, final chain between the generational cycle of a micro-organism and an inner, energetic, informative or reproductive cycle of a macro-being. Thus, if we consider the generational cycle of the macro-being we complete the previous chain:
Generational frequency of micro cell => Reproductive frequency of macro being
For example, most cells of the body live and die in an interval between a month and a year. Which is the period most animals need to complete their reproduction. At cellular level, carbohydrate molecules live and die in short daily cycles, which is the period of reproduction of cells. The relationship between both cycles is again organic: reproduction means the renewal of a macroscopic being that destroys and creates many of its quantic elements, as energy or information of the reproductive TxS combined cycle. So cells accumulate carbohydrate molecules that they use in their reproductive processes, destroying and reconstructing its DNA genes with them.
Depending on the role an i-i quantum performs in the macro system, its life will be longer or shorter. Wheat is harvested to feed annually the human ecosystem, while carbohydrates die every day to reproduce DNA molecules. Yet a top predator informative cell, a neuron, lives the entire life of the organism, since it defines the informative networks that dominate and form the will and consciousness of the organism as a whole macro-beings. And inversely, the life span of the ‘brain quanta’ defines the life span of the macro-organism. So probably the enormous life span of quarks, the fundamental particle and brain of the quantic atoms of the Universe, defines also the life-span of the Universe. Since the study in detail of all those chains for all Universal species is beyond the Cyclical Time of this book, we will only consider some examples from the 3 main disciplines of science:
- In the physical world we study the temporal chains between the 3±st scales of existence of light (gravitation, light and atoms) and the 3±st scales that create the Universe.
- In Biology we study the chains between the 3±st scales that cause life evolution: the st-1 genetic cycles, the i-life cycles and the st+1 ecosystemic, geological cycles of the Earth.
- In History we study the chains between the life of civilizations and the human generational cycle.
The many worlds interpretation of the fractal Universe.
The mind sees stillness and hence death in all those forms in fixes in its brain and yet all has movement all has a life to it; all forces can be understood as languages when the proper codes are translated. Indeed, for all what we said it is also obvious that the intelligence of the Universe doesn’t speak a single language, understood by man, but all beings can perceive and remember information, stored in rhythmic patterns and linguistic codes. I called the first book I wrote on cyclical time ‘The Codes of the Universe’, because the resolution of those codes in different languages and scales is indeed the essence of knowledge. Each species has limited languages of perception, the most complex perceive more languages and forces. In the atomic world, quarks, the most complex particles perceive, ‘see’ we say in gauge theory, all the forces. They are the most complex particles, probable cells of the black hole. In our world, men are the most complex beings. Nevertheless, animals who understand only smelling, chemical codes and visual codes are also intelligent and so are electrons who do not perceive gravitation in the atomic word – we are in fact electronic minds as computers are. Languages can use any of those codes. Cephalopods developed both the first complex eyes and a pigmented skin, which changes and modulates emotional messages in a silent code understood by other squids. Insects use magnetic codes to guide swarms. The Universe is a game of information self-similar at scale without limits in its intelligence and codes of perception. It is only need to know the translation tools and constants of transformation between scales, studied in the most complex versions of this book to reveal its intelligence to the dumb human being who speak so few codes properly.
All is memorial because cyclical inertia, the repetition of the cycles of existence of any form, is common to all space-time fields. This is a tautology: a species that forgets, that does not repeat a quantic cycle of existence becomes extinct and its cycles of existence disappear. Thus, a being has to remember and repeat its quantic cycles to last in time. That is the existential game of any being: to feed, on energy; and use its genetic, memorial information to transform it through reproduction into new cyclical actions.
The rhythms of existence are organic, vital. Yet we do not see them in stones and plants, because rhythms vary its speed and men only consider vital rhythms similar to theirs.
Each species has a different rhythm of perception and existence, a different language of knowledge, a different mind and capacity to act-react in the Universe, a different speed of times. The rhythms of rocks are slow. So are the rhythms of galaxies. Thus, we have to transform mathematically the different rhythms and speeds of times to see them alive. For example, when we see in fast motion the living cycles of plants that seem dead, in slow motion, they acquire living properties. It is again the Paradox of Galileo: we see many temporal cycles as fixed forms in space, as we see the moving Saturn rings as a fixed form, yet all is moving, cycling in an organic way.
Physicists don’t understand that their clocks of time are abstract inquisitions of the mind. Instead of a ‘moving cycle’, often a living ‘ time’, when they think of time they see a number in a graph. Yet even a watch measures the cycle of expansion of its inner spiral, made of metal that dilates, expanding space; even the sun measures a year-cycle as it swims on the gravitational flows of the galactic spiral, feeding on quantic, gravitational space. Clocks are brains that measure cycles of time. So today the clocks of science have evolved into cyclical computers that are truly ‘metal-brains’ of machines. Time is measured as information for biological, survival purposes. Since the ‘fastest brain-clocks’ of temporal information survive better. They see with more detail everything alive and act-react faster to the Universe. So our incapacity to see a living Universe is only a prove of our limited intelligence and memorial detail. Andre Guide affirmed, regarding a similar phenomenon that ‘the more insensitive the white man is to the beauty of Africa, the more he despises and mistreats the black people’. So happens today with humanity at large in front of Nature.
We thus talk of human aberration of perception as the true barrier modern science has to accept those living cycles. And so we define according to the Fractal Principle, 3 phenomena that create that aberration of perception: the limited scales of space we perceive, which prevent us from seeing in detail small or far away beings; the relative speed of human, cyclical time we use to observe reality that prevent us from perceiving very fast or very slow beings as living beings. Finally, our incapacity to translate other languages, as information is smaller and quantized. Therefore, we perceive better bodies and energy than minds and brains. This creates the ‘energetic aberration of naïve realism’ that makes scientists think all is ‘energy’ and information is secondary. Since informative messages, which are ‘faster’ and ‘smaller’ than energy forms are the most difficult to perceive. We don’t see pheromones and so biologists thought for centuries ants acted as individuals when in fact they act as part of a whole super-organism, the anthill. We did not perceive the informative, chemical languages that cross ‘the synapse’ between neurons for so long, that most scientists thought that the entire brain was a cell to be able to work together until Cajal saw those discontinuities. Yet today biologists are decoding new languages of information: they found that monkeys learn to use money, rats sing songs, flies calculate. So the real barrier to understand the intelligent Universe is ideological, anthropomorphic ‘mechanism’. The very moment science accepts organicism; it will start to ‘understand’ the whys and wills of reality instead of merely gathering data. To perceive that organicism it only has to ‘translate’ different speeds of time to the ‘real speed’ at which any species exist.
When we understand that there are many energies that feed space-time beings, many ways to inform brains, many speeds of perception and hence life; yet all are harmonic with each other, a deeper philosophical sense illuminates our mind: We are part of the same Universe and share the common properties of any of its infinite organic systems.
A huge organic system of temporal energy like a star might have a thought a day; a plant thinks slowly, a fly sees faster, a rat beats its heart faster than we do. For example, spiral and elliptic galaxies are phases of a feeding cycle in which the spiral bar appears and disappears after collecting interstellar gas for the black hole every 1010 years. Scientists are now ‘putting together’ many similar dual forms that are phases of an organic, existential cycle. This is the fundamental trend in recent Astronomy and Physics: First neutrons and protons were considered 2 particles but now they are 2 phases of a nucleon cycle of energy feeding as they absorb pions, transforming into each other, so fast we can’t see it in detail. Last year we realized that the 3 neutrinos were part of the same particle, mutating its state. The same phenomenon happens when we see a human being externally: our skin appears as a fixed organism in space as its cellular cycles are perceived as a stable form.
Only anthropomorphism and the limits of human AE-perception make us differentiate those scales. Yet according to the definition of a point of i-geometry when you ‘enlarge’ the image of that non-AE point, for example, an insect, the detail of the information we observe grows and so the world of insects is as rich in meanings and forms as the macro-world in which we live. Since all waves carry the same amount of quantic information regardless of its spatial size, according to 2 simple, paradoxical laws: the law of the vortex for cyclical, implosive, attractive ‘particles’ (charges and masses), Vo x Ro=K, and the quantic law that defines transversal, explosive waves, E/v(t)=K. Both show that temporal energy increases when the masses or waves cycle becomes smaller.
Each species has a rhythm of times. So slow species are perceived as dead species by faster species. We think plants are dead because they are slow in their rhythms of Times. Yet they are alive, feel, and sense in a chemical manner, through their roots and leaves… All is alive yet with a different rhythm, a different beat. The beat of each temporal organism is an action-reaction cycle with a different clock, a different quantic rhythm and temporal speed. They are all around you. In a garden, the wings of a ‘hummingbird’ take energy from the air 200 times per second. It is a clock faster than the energy beat of your heart, 80 beats per second. The energy of the wind moves the leaves every 2 minutes. A gardener is a clock that waters plants a beat each day… Those action-reaction cycles are everywhere in the Universe. Some beings are faster in their active cycles like the hummingbird; some are slower like the plants and the galaxy. In most cases the bigger the species are, the longer they take in each of their active cycles: A galaxy turns around every 200 million years, the Earth every day, your eyes beat and absorb light-energy every second, the hummingbird’s heart beats 800 times every minute, the electron turns 30.000 cycles per second… Each organism, each region of the Universe, has a different speed of feeding and perception. People think that slow species are dead. But that is not true. They tend to be energy species that just have slow rhythms of information and live longer. While more informative, evolved species think faster and live shorter. Often the smaller the species the faster it can complete its cycles of information. So brains are small and chips evolve, becoming smaller as they become more powerful. Yet chips last a couple of years. And men, an informative species, seem so self-destructive, so loving of information, the age, which precedes death, that we might be the shortest living animal on Earth. In the complex versions of this book we formalize those multiple planes of perception with existential algebra. Let us here consider just some basic homologies, laws and decametric rules, useful to fully grasp latter the cosmology and biology of the Universe.
The fundamental law of the Universe is the balance between space and time, such as ExT=K. Thus as we diminish in spatial size in the Universe, beings become faster in time, creating a balance according to which, smaller beings perceive and exist faster, being able to escape, slower Goliaths. Those regularities of the game of existence show a certain equalitarian justice in the Universe. Indeed, in each world-ecosystem the subjective existence of its organic systems is similar, despite their different size. So we can gather them in ‘families of species’ around a ‘constant of action’, K=T x E, which is the product of its speed of perception or frequency of perception of temporal information and its spatial extension. For example, it seems all mammals have the same metabolic existence: The rat lives less than the elephant but his heart beats faster. The subjective speed of perception also prevents small species to become extinct in the same world ecosystem inhabited by bigger species, as they act-react faster and so they can escape top predators.
The harmonies of living beings: the paradox of Goliath.
For example, according to the previous inverse law of mental speed a fly sees 10 times faster than human do, since flies are smaller, so they perform 10 visual quantic actions by each human blink. Yet because its brain’s quantic neuronal density is not very high, it is not a top predator as robotic insects might be in the future.
Curiously enough the oldest insects, ant queens and cockroaches, can live up to 7 years. Yet cockroaches react in 20 milliseconds and humans in 200. Which means that if they perceive time cycles 10 times faster than we do, subjectively they process 10 times more quantic actions of temporal energy, or ‘dharmas of existence’ (philosophical jargon). So they live the same subjectively life of 70 years… the same length of a human existential= generational cycle.
The many worlds Interpretation of the physical Universe and its vital constants.
It follows that there are parallel worlds, one for each relative hierarchical space-time scale, based in different Constants of Existence. In physical worlds the most important of those constants are the Universal constants of force, which express the previous K= TxS balances in different abstract ways. For example in quantum theory H= TxS is always constant (Heisenberg Principle). But that constant of the microcosmic world is different from its equivalent constant, temperature, in the atomic world, which also shows a self-similar balance for all gases: P(t)V(E)=nkT.
Other constants however are written not as TxS=K balanced, but as E/T or T/E processes of Darwinian evolution, which define instead of organic balances processes of transformation of certain energy into for and vice versa. The most important of those constants in the 2 physical space/time planes are G and Q, which represent, as the Newtonian and Coulombian formula shows, T/E, Mass-Charge/Distance events, in which in words of Einstein, cyclical masses absorb and bend the energy of space. While in the electromagnetic world light-space is absorbed and transformed, curved into electronic form. Yet since the density of information of the electromagnetic world is smaller than that of masses, given the fact that electrons are lighter and more extended in space than gravitational quarks, paradoxically the energy of its electromagnetic constant is much bigger. Thus the relative transformations of gravitational and light spatial forces into masses and charges are also ruled by decametric harmonies, as those of the biological speed of action-reaction of flies and humans. All together we can consider a simple scheme of the main many-worlds of the Human Universe, according to their relative energy and information density. Indeed, According to the different forces of the Universe, each organic system has a different mind since it absorbs different temporal energies and so it creates different mental, linguistic ‘spaces/times’, relative virtual worlds, mirrors of the Universe. The world of each being represents a quantity of spatial information with a size, form and number of dimensions that are relative to the spatial reach, form and dimensions of the informative, linguistic forces it uses to observe the Universe. So while the Universal Syntax all minds use to create their virtual maps of the Universe is homologous in all beings, in as much as they reflect a single Universe, the details, quantity and quality of the information of those maps depends on each brain; since worlds are multiple, quantic, diffeomorphic. So, depending on which type of temporal force of energy each quantic being absorbs to create its mental map we can define different worlds or ecosystems in which a certain force is shared by multiple discontinuous Fractal points that interact only with the other points of the same ecosystem but now with parallel worlds. For example, masses are quantic nodes that inform and/or perceive gravitation, which we do not see. We are quantic knots of light perception. While ants have olfactory brains that perceive atoms. And so many beings live in parallel discontinuous worlds within the same Universe.
Even an electron, the smallest form known to man, processes light information and jumps towards a moving photon, absorbing its energy to enhance its survival chances. Equally, black holes and quarks process gravitational information, locating themselves in the best position to absorb it as masses. While a chip uses digital information to guide a machine, etc. There are other spaces and ways of measuring time besides light and clocks, other possible virtual worlds and intelligences besides man. Since man is made of the same atomic material that the rest of the Universe, the capacity to communicate in this universe – the most clear prove of life – is not exclusive of human atoms but a property that takes place through different atoms and forces; including metallic atoms such as those of computers or gravitational forces used by celestial bodies. So men talk, chips digitalize, animals see, plants ‘smell’ and masses process gravitational information.
We classify those worlds, according to the volume of temporal energy their linguistic forces carry, in a scale of increasing i-complexity, ruled by the Black Hole paradox: The smallest and faster particles scan with more detail the Universe; so they carry more information and create bigger, faster mental worlds, inhabited by species with more TxS force. Accordingly we consider 4 basic worlds:
- Big, slow atomic quanta create animal olfactory minds that perceive small metric territories inhabited by small animals like ants.
- Smaller, faster electrons create electronic minds that perceive kilometric territories inhabited by bigger animals like human beings.
- Photons create bigger worlds of planetary size perceived by huge machines and chips (the brain of future robots) at global scale (Internet, satellites, etc).
- Gravitational forces of very reduced size create words of galactic size perceived by celestial bodies like Black Holes (minds of the galaxy).
So the Gravitational world is bigger than the light world, bigger than the electronic world, bigger than the molecular world because paradoxically gravitons are faster and smaller than photons, which are faster and smaller than electrons, which are faster and smaller than molecules. So a black hole can perceive an image ‘with more detail’, more ‘pixels’. And since gravitation is faster than light it should ‘change’ the quantic mind’s images it creates faster. On the opposite extreme, plants and olfactory animals perceive molecules, which create images ‘with huge pixels’ that offer little detail and change very slow. Thus we consider that every organic system in the Universe, which processes information and survives efficiently, is a focus of a dual force that carries temporal energy and helps him to act-react externally in a manner that seems to improve the survival of that entity. Each bigger world and faster language increases the TxS force of its species, which become top predators. And indeed, the analysis of the theoretical speed of informative perception in black holes has shown that they are the fastest ‘computing minds’ of the Universe. So black holes can easily destroy a planet; huge machines kill animal life; human beings kill olfactory ants and insects kill plants. Which means top predators are defined in terms of the power of their linguistic brains.
And so we can talk of a game of Russian dolls, in which each bigger World encloses the smaller one. The gravitational World encloses the light world. And the light world encloses the electronic world, which is bigger than the atomic world of ants.
The rhythms of existence: quantic jumps of space-time. Modular existence.
What we know as existence is guided by the 3±I arrows which are quantic, fractal and cyclical. What this means is that existence is modular as beings constantly switch between its arrows, as they need quantic energy, information and reproduction in order to survive which is achieved through social evolution in networks and herds that have a higher and wider access to those resources. The result of that simple scheme defines a series of basic rhythms that transform space/time and move ahead the existence of beings. We will deal with several of those rhythms in this book, notably the rhythms that define the punctuated evolution of species that switch between reproductive, expansive periods and temporal, evolutive ones:
33. Max. Reproduction (expansion in space)->Max. informative punctuated evolution
Such ST-modular rhythm also evolves palingenetically a species. In an individual is mimicked by the life rhythms of each of our organs, from the eye that feeds on light and then informs the brain which produces a visual thought every second (the blink time of the eye), to the night/day, dreaming/acting rhythm. A second fundamental series of ternary rhythms occur as organisms switch between the 3 physiological networks of hormonal activity nervous activity and feeding activity. Some of those rhythms are the ternary bio-rhythms of life; the 8 hours work (energy), 8 hours play (reproduction), 8 hours sleep (body hormonal, informative activity) rhythms of our daily life; and self-similar rhythms in the activity of animals and plants. All of them can be resumed in an E->Re->Ti sequence, which again is a partial case of the Existential equation, ETi:
34. Max. Energy feeding -> Max. Reproduction -> Max Informative evolution
The existence of parallel space-time worlds, as the existence of multiple time cycles with different frequency seems another handicap for an objective study of the Universe. It is the origin of an entire new field of errors: postulate errors caused by the affirmation of principles to simplify the calculus and analysis of reality that are taken as absolute truths, when there is no evidence whatsoever of them. For example, the cosmological principle that allows the study of the Universe instead of the galaxy from where there is evidence, postulates a continuous isomorphous universe which is false. Yet it also allows the study of cosmological big-bangs and the Universe at large scale, which allowed historically the teleological substitution of the Priests of Absolute gods by the Priest of Absolute science. This would have not taken place if scientists were more humble and accurate and consider the Universe unreachable to analysis and study the big-bang in the local universe. Which leads us to the 4th fundamental error of scientific common thought, the error of postulates, set a priori without prove, from where an entire science can be deduced, infected by that false or unverifiable postulate. Einstein though was ambivalent in that regard, since a world of infinite points made calculations difficult. So, when considering the structure of space-time the Cosmological Principle, which has been taken as a paradigm of truth in which to base all studies of the Universe, affirming the isomorphism and continuous distribution of matter and energy in the Universe. This is false as we find structures, super-clusters, fractal scales, invisible matter, dark energies, discontinuities, etc. etc. in the Universe. However, it pleases the perception of the mind and makes Cosmological calculus with Relativistic equations possible, which should be limited to its use in the galaxy, as the local Big bang affirms.
11. Movement in a discontinuous Universe. The quantic jump in space and time.
3 dual GST jumps in 3 scales of existence, in which a ‘seed’ of relative past information emitted by a future parental form hosts in an energy surface, evolving towards the future:
A photon reproduces a particle-antiparticle.
A spermatozoid starts the evolution of a child. And a prophet emits a verbal code that will recreate in the future a dying civilization.
The most complex phenomenon of the Universe is the quantic jump in space-time. Both bidimensional cycles of time, and planes of space are quantic and so their changes and displacements are also quantic. And since time is geometric, bidimensional, as space is, it has also 2 directions of movement. So the oldest quantic question of philosophy is: how in a quantic world filled with discontinuities can exist continuous movement? Zenon, a Greek philosopher put the example of Achilles and the Turtle: Achilles will never reach a turtle because there are infinite quantic spaces it has to cross. Parmenides gave him the answer: continuous movement doesn’t exist in a discreet Universe; it is a mirage of the senses. Since a wave, as the figure shows, is not really moving, but reproducing information over the potential energy of the vacuum in a sequential, quantic jump, through a series of wave-lengths, drawn one after another, which appear to the senses as a moving wave. Movement is always a discontinuous displacement either in space or in time, in any of its 2 directions, towards the past or the future. The simplest analogy is a television screen where new images are created constantly without hardly any cost of energy, because they are virtual images created by illuminating 3 colors that are already potentially in the screen. In the case of a wave, the relative energy imprinted by the logic form might vary, from the vacuum energy of a light wave to the placental energy of a mother, yet the process is always the same: a form imprints another region of space, changing its spatial position and temporal morphology. So speed is synonymous of reproduction, the main cyclical action of the Universe. Thus we can explain all physical events in terms of organicism. Since even movement, the external, mechanical change physicists study, turns out to be also an organic cycle of reproduction. And we distinguish, according to their quantity of energy and information ‘translated’ in the process from a place of space-time to another place, 3 quantic, reproductive jumps:
- E=T: Space-time reproduction dominant in spatial displacement that implies a minimal movement of information that fluctuates from a future to a past form and returns back to the future. For example, when an electric impulse arrives to the end of a nerve, it becomes translated into chemical information and then it is transferred chemically through the synapses to the other cell, where it becomes translated back into electric information. That process implies a ‘spatial, quantic jump’ from a neuron to the next neuron, but also a quantic jump in time from a level of informative complexity, the electric language to the lower level of chemical languages, which is the relative, past informative system of life (9.19). The informative essence of the process implies a transcription of form from each discontinuous point to the next point but also a movement in space, since ‘all yang has a drop of yin’, all is temporal energy, also spatial and temporal reproduction requires a minimal dual movement in time and space.
-Max. E: Spatial, wave reproduction of a wave a particle that jumps from one place to the next place, reproducing a minimal temporal form. It is very common in physical waves, defined by its speed of reproduction, V=S/T. Depending on the density of a form, its speed of reproduction will vary. So the most massive forms are slower than those whose informations are minimal and can imprint the energy of vacuum very fast. Those forms that hardly move however evolve a lot in time:
- Max. i: Temporal, palingenetic reproduction, when an organism produces a past, smaller, simpler seed that reproduces the being, evolving faster towards the future. So a foetus is ‘born’ when it comes out of the body of the mother to the next discontinuous region of the Universe, making a minimal spatial jump and a huge evolutionary, temporal jump.
12. Quantic jump in time. Palingenesis and Emergence. Travel to the past.
A quantic jump in space-time which is dominant in information is a palingenetic reproduction, the repetition of a form, through the parental reproduction of a simpler seed or relative past form that will evolve and reproduce a new space-time, a future son form.
Palingenesis means truly that a fetus is a past form that evolves, recapitulating a series of evolutionary forms from past to future, as quantic time can both travel to the past becoming a simpler form (as in death) or accelerate its informative evolution (as in a process of creative design or fetal evolution). Yet, since time is discontinuous those movements in time only affect a quantic part of the Universe; and so they are possible without creating paradoxes. The universe doesn’t move to the past, only the seminal seed. So palingenesis is a dual movement in time:
- Backwards towards the remote past as the parents produce a single cell, packed with dense genetic DNA information. Followed by…
- A fast movement forwards to the future as the fetus creates a parallel form to its parents:.
A species of relative past (simple palingenetic entity) evolves towards the future into a macro-system that organizes itself over a surface of relative cellular energy, thanks to the ‘future’ placental parents that accelerate its evolution into a new ‘present’ being in a friendly environment rich in energy – the mother womb. Thus, the final balance between past and future is re-established when the being surfaces back into the present in the moment of conception. In this manner evolution maximizes its efficiency with the min. expenditure of energy: The fetus is a temporal, evolutionary form. In the graph, we draw palingenetic reproduction as a fluctuation between 3 planes of growing complexity, in which a ‘life’ occurs: the i+1 social plane, the i-ndividual plane of the parents, and the i+1 biological plane of cells. Since in AE-logic geometry simple-past beings and future-complex beings co-exist in discontinuous i-planes of existence of different complexity. And indeed, the fetus lives in a discontinuous world, the mother womb, which finally opens up through an aperture, the vagina, to the bigger world in which the newborn enters…
According to the ‘black hole paradox’ (11.2) the fetus and the baby are born as ‘highly informative species’: The baby has a huge head that is 1/4th of his body size. Then both the fetus and the baby will go through a dual fluctuation, growing in energy and information till reaching maturity. First, when the species is born after its fetal, informative evolution, its starts its young age, increasing its energy. So the newborn will soon compensate its excess of information with its accelerated, energetic growth, as all forms try to find an E=T balance (ch.2). Thus, the fetus in its first age of energy will expand its lineal limbs, elongating its body. Now its body grows much faster than the head till reaching a 9 body Vs 1 head proportion proper of many spatial Vs informative, decametric systems (5.25-27). Also its neurons will be in a 1-9 relationship to the glia cells that feed its energy and multiply very fast. At that point the baby enters the mature age and reproduces a new baby. Then it grows again in information into its 3rd age and finally it dies. In the past decade there has been an enormous development of the science of evol-devol, based in palingenesis, in the lines foreseen in our first books (nt.1). Biological palingenesis is in fact the only palingenesis accepted by science. But palingenesis happens also in the sociological and physical world.
15. Sociological palingenesis. The prophet.
An open question for those who believe in mysticism is: if the fetus is born into a higher plane of existence, do we have also for man a second birth after death into an even higher plane of existence? The previous graph explains that possibility; latter studied in more detail (ch.13), as it compares the palingenesis of a fetus with similar processes, which happen to other species. For example, 2 electrons emit 2 seminal light rays that merge together creating a new electron as the 2 lineal waves of electromagnetism evolve towards the future acquiring finally a cyclical electronic form. Yet since the informative code of human beings is verbal, we consider the prophet, the original human, memetic, verbal, seminal, ethic code of a religious civilization that starts a palingenetic radiation in the mind of his believers. Indeed, civilizations are social organisms made with human verbal cells, joined by a verbal/nervous network of ethic laws, produced by a prophet that imprints the Book of Revelation, the memetic code of the civilization in those minds. So the prophet is the seminal cell that reproduces and finally shapes a new organic civilization. And the fact that most prophets are born when the ‘father’ is going to die, in the baroque age of a culture prior to its extinction, explains quite clearly how certain human beings transcend death and become immortal as the ‘informative code’ of the future civilization they create. But as only a sperm cell reaches the future ovule, only a prophet among millions of humans creates a macro-organism of history, a civilization. We won’t be that lucky, I’m afraid. As Tertulianus said: ‘Sangris martire semen cristianorum’.
16. The Law of quantic jumps: the minimal distance of those jumps.
According to the 2 arrows of past energy and future information, all space-time movements are dual cycles. So in all of them, there is a degree of genetic reproduction and travel to the past through a basic transformation of an informative form into a simpler language or cell that is able to cross the discontinuities of the Universe and then evolve back into the original form. It should not surprise us as all cycles require the dual arrows of past-energy and informative order; and all cycles are memorial repetitions=reproductions of a cycle that has happened before in the past.
We don’t demonstrate any of the events explained in this book, since it would require developing the entire logic-mathematical formalism of ST cycles we have thoroughly escaped. Yet, given its importance to understand hierarchical organisms, we shall enunciate the general law of those quantic jumps that structure organic systems through social planes, Ei, of different i-nformation, among which the quantic jumps take place:
`The mean distance in space-time between 2 ‘relative cells’, i-1, of a quantic organic system, i, equals the distance between its relative ‘molecular systems’, i-2, both in time and space.’
So beings seem continuous because their discontinuity is minimal, only a ‘cellular’ distance, both in space (so between axons, a simple chemical molecule overcomes the jump) and time (so chemical information, the next simpler language of life, jumps and translates the electronic message through hormonal discharges). Again between molecules the most habitual distance is that of an atom of 10-10 m; and between atoms in its solid, informative state, the usual distance is a valence electron, its lower formal level. While between electron orbits the quantum jump is a photon with a constant of space-time, h, which is omnipresent in all the electronic cycles. In the same way a biological, quantic jump that reproduces a foetus implies the minimal quantic jump in space as the child is born contiguously to its mother.
17. Flows of space and time are asymmetric between 3 planes of ST-existence.
Yet, the Universe only allows one ‘discontinuous jump’ to the next past, future, right or left zone. There are not worm holes to enter far away Universes (too far to happen), jumps to a past in which mother was born (as only you travel to your past through your death).
Thus Quantic jumps happen in space between contiguous zones and in time between 2 hierarchical contiguous planes of i and i-1 informative complexity. Though i-points are discontinuous they have ideally 3 apertures through which energy and information flow. Yet those apertures are quantic, small holes where only i-1 particles might flow. Hence the non-AE point always communicates quanta from its lower, past scale of existence. So all acts of communication are quantic jumps both in time and space that can either communicate energy or information between similar particles or particles from i±1 planes of existence according to hierarchical, illogic laws:
‘2 particles on the same space-time plane transfer temporal energy in both directions.
An i-1 space-time plane transfers energy to the i- plane from which it receives information.
An i-2 space-time plane transfers temporal energy, without receiving anything on exchange.’
Those laws are based in the hierarchical structure of the Universe that creates organisms with 3 discontinuous ‘social classes’. So only particles from the first plane enter into just action-reaction processes. While flows of energy and information between 2 different, i and i-1 planes are asymmetric as the upper classes receive energy and give only information. But we said that GST jumps are contiguous, so how in the 3rd case might exist a flow between i-2 and i planes, separated by 2 scales? Obviously because the i-1 space-time field dies, exploding into i-2 particles that feed as energy or information the i form. Thus the 3rd case describes the extinction of a victim that the predator absorbs after destroying its cellular parts. For example you feed on the amino acids of the animal you eat, after destroying its cells into its micro-particles.
The previous ternary events, which can be formalized with the symbols of GST logic, are essential to describe and explain all kind of mysterious phenomenon in physical and biological space-times. Let us consider some examples:
- The best-known borders between the main 2 planes of existence of physical space-time, the plane of gravitational masses and electromagnetic charges, are black holes that emit dark, expansive, gravitational energy. Still 96% of the gravitational world is invisible to us, including the discontinuous inner dimensions of masses, quarks and black holes.
- The 1st case between equal forms writes as ETi<et=te>Tei. It explains the 2nd law of Newton, the law of action reaction, according to which, et, the quantic action of ET over TE, is equal in value to ‘te’, the action of TE over ET.
- Yet what Newton missed was the fact that ‘actions’ and ‘reactions’ are equal in TE force but not always equal in substance. It is the 2nd case that explains relationships between 2 different planes of existence: Often an action is informative and its reaction is energetic and vice versa, so they compensate each other, cancelling the past and future into a present. It is the principle of conservation of energy and information: Energy becomes transformed into information and vice versa, ET. Quantic physics explain the 2nd case with a mysterious principle that not even Physicists fully understand: ‘time and space are non-commutative’. That is TE is not ET, T>E is an energy transformation and E>T is an informative flow. And they are not the same. So in quantum physics and GST theory the order of the parameters of an action matters.
The fact that energy flows towards the future, informative form, and energy towards the past, establish a hierarchy between information and energy, the 2 arrows of the Universe. In that sense, we prefer the word ‘order’ for the informative arrow and ‘entropy’ for the energetic arrow as it expresses truly the main biological difference between both: organisms are hierarchical, distributed through planes of existence that create chiral, hierarchical 3 class-structures, in the dominant dimension of height and information. Only the present, space, fruit of the repetition of the same form in extended surfaces, is democratic, equalitarian, creating huge masses of undifferentiated quanta without hardly any height dimension.
18. Breaking of energy and information symmetries in the limits between planes.
In that regard, the algebra of multiple planes of existence widens even farther the laws of conservation of energy and information, as energy might disappear from a plane of existence but the total energy x information quantity of the ternary, 3-plane structure of a World remains the same. Which in physics explains both a fundamental law of conservation, the so-called CPT parity (7.10); and a few seemingly exceptions to that law in which energy or information disappears from a plane of existence. For example, black holes erase information from the electromagnetic world but they emit it as ‘gravitational, dark energy’ through its poles (6.9).
All this means that neither the principle of action-reaction nor the Laws of conservation are ‘absolute’, when we consider only a ‘single plane of space-time’; as there are uneven flows of energy and information between 2 planes. So in Physics, only the total energy and information of the particles or CPT parity conserves; but the C or P or T parities might break in processes of death and birth of particles that give or take energy and information from other plane of existence, without returning it to the perceived, electromagnetic world physicists observe.
Especially when we consider the 3rd case of ‘death of a particle’, there is a transference of energy and information that jumps between 3 planes of space-time, (i-2i). So energy and information truly disappear and the laws of conservation that work for the total 3 relative planes of the organic system break for the planes we can observe. A fact that explains empirically many invisible, physical ‘imaginary forces’ and ‘particles’, postulated by physicists to maintain those theoretical conservation laws, without realizing they are observing an asymmetric transference of energy and information and so do not need to postulate ‘real particles’ but ‘asymmetric ST flows’. Indeed, in all processes that involve the death of a particle, which breaks the balance between the energy and information of a system physicists have found a lost of energy and information they cannot explain. Now we can explain why in the proximities of black holes, which transfer energy and information between the gravitational and electromagnetic world information is lost. Or why in radioactivity processes that destroy an atom or close to the limits of C-speed, the conservation of momentum and energy of a particle breaks. A similar case could be, for the mystique reader, the famous 21 grams that a person looses when it dies. Where they are? (10.10). So instead of ‘postulating’ a series of invisible particles and speed limits to keep reality confined to a single plane of existence, GST theory explains all those mysterious exceptions to the second law of Thermodynamics; the laws of conservation and the C-limits of speed in Relativity as S-T flows between 2 planes of existence. Obviously physicists have never witnessed the imaginary particles that come out of a dying neutron or a radioactive atom, called neutrinos and weak forces, invented to keep the total momentum of the dying particle, but only indirect flows of energy and information. Since indeed neutrinos and weak forces are not ‘particles’ in the strict sense, but flows of energy and information transferred between the gravitational and electromagnetic planes of existence when particles mutate their form or die, giving away its energy and information, as they explode into smaller i-1 quanta of the gravitational or electromagnetic ‘plane of existence’ (7.1-2). Those flows of ‘energy and information’ sometimes return to our world and give birth to a new particle; sometimes create a particle that flows further into the past called an antiparticle (7.10); sometimes give away its energy as a gravitational wave we cannot perceive; or sometimes they appears as an inverse, negative energy or a particle with negative mass, as it happens with neutrinos; precisely because its time-space coordinates become reversed as in all process of death that write as E>T -> T<E. So the dying form particle suffers a reversal in its space-time coordinates, becoming in algebraic terms a flow of negative energy or an antiparticle.
19. Law of Transcendental Inversion: Change of form between ST-planes
Those reversal of ‘coordinates’ and parameters that transform an energy species into information and vice versa between planes of existence can be very paradoxical, as scientists are unaware of the change of morphology or ST parameters of a form that merely has ‘transcended’, ‘evolved’ or ‘descended’, ‘died’ and ‘devolved’ between planes. Indeed, the world shows constantly those ‘inversions’ of space-time parameters through the 3±1 ages, phases of cycles or hierarchical, social classes, or planes of existence, what matters is the dynamic study of those fields.
We call those events ‘transcendental inversions’: When forms of an i-1 plane of ET transcend into an ‘i’ structure, both its time and space become inverted, which means that its morphology also becomes inverted. For example, lineal iron atoms become cyclical molecules when they emerge in the higher molecular plane. Then again iron molecules become lineal swords when they emerge in the macro-scale of human beings; in Biology, lineal proteins become cyclical membranes in macro-cells that become lineal muscles when they transcend again to the i+1 level. Those paradoxical, illogic, transformations of energy into information and vice versa happen when species transcend between 2 relative planes of existence because, as the Chinese say, all yin has a potential seed of yang that can transform it. So how can we distinguish a form as an energetic or informative species? We can define a form as dominant in energy or information, looking at its total ternary structure through the 3 i±1 planes of its organic systems; in as much as 3 is an even number, and so either the energy or informative structures will dominate the total organism. So iron is lineal in its atomic and organic structure and indeed iron is the most energetic atom of the Universe (8.2). That is why the Taoist wrote the structure of all events and forms with trigrams. So we can use those trigrams in GST theory to represent organic structures. For example: _, –,_ is the energetic iron sword, in which 2 energetic planes dominate the cyclical, intermediate iron molecules. In biology –,_,– represents among many other structures a temporal, informative cell, with an intermediate spiral RNA, made of smaller cyclical nucleotides and enclosed into a cyclical membrane.
20. The empirical proves of quantic jumps to the past.
The Universe is illogic but it is not magic. And yet, quantic jumps create phenomena that seem magic to us. Let us consider 2 examples from the physical and biological world, the consciousness of man and the instantaneous speed of gravitation:
Asymmetric, temporal, quantic flows of information from i to i-1 planes of existence explain how the particles of a higher social class like the brain neurons control electronically the cells of the body, anticipating its reactions, since those body cells use a slower, past chemical language and exist in a relative past, in an ‘inferior plane of existence’. Do we have proves of that temporal distance between planes of existence? Indeed a few years ago, scientists found surprisingly that the body acts before the brain thinks and yet most people think first before acting. How then it is possible that we think first and yet we act also first, and both things happen simultaneously? Precisely because as Einstein put it, past and future co-exist in a simultaneous present, as information flows from the future brain to the past body and energy flows, moves and acts in the body before, in the past. So depending on our point of view, the brain or the body we will see our action first, and since our ‘is’ are mental ‘is’ we perceive first our thoughts. Yet in reality both actions converge into a present.
So to the external world both mind and body act chained ‘together’ by the simultaneity of the quantic actions of the body cells and the mind’s thought into a single whole action. Yet the chemical cells of the body exist in a micro-fraction of time, in a relative past, separated from the ‘whole being’ by a quantic jump in time. This means that when the brain observes the chemical cells of the body it can control them ‘a priori’ as it knows what they will act before they act… So the body acts in past, the brain thinks in the future and both together create our present of existence, as information travels or is emitted from the future through a quantic jump to the past cells and energy is emitted or travels from the past body in a quantic jump into the future. So quantic jumps in time explain both the hierarchical structure and creation of symbiotic organisms, in which relative past and future forms co-exist, the control of the mind and the subconscious actions of the body. Thus in a human being, relative past cells and future nervous systems can co-exist in a symbiotic manner and chain each other’s cyclical actions (ch.10), thanks to the existence of quantic jumps in space and time that coordinate in simultaneity the fluxes of energy and information between the cells and neurons of those planes.
Yet the most obvious prove of quantic jumps to the past are the processes of death, which people who suffered it and then have survived, explain as a rewinding of the memories of the being that travels through the entire information of his life towards the past.
On the other hand in the physical world quantic jumps to the past have been proved in the past decade. Since rays of light, travelling faster than c, come out in the instrument before they are produced.
It also explains why gravitation is instantaneous; something that has always puzzled scientists. And yet, quantic jumps in time explain that instantaneous speed easily: A mass emits a graviton, its quantic, cellular form of past in a relative past. Hence, when the graviton travels forwards to the future from that past it consumes some time and it surfaces again into the relative present of the observer with an instantaneous speed (6.7,8). Since a quantic wave of gravitation can reach up to 1010 million years light, a single gravitational wave can cross in a single quantic jump, the entire Universe. And indeed, the ‘instantaneous, present space-time Universe’ reaches till around 1010 million years light, the so-called Universal horizon.
The most focused mirrors of Universal Energy are NonEuclidean Points that create fractal networks: Topological Organisms
