3RD POSTULATE: i-PLANES & ∑, ‡, ∏ NETWORKS OF EXISTENCE
The third postulate defines finally the construction of super organisms through ‘networks’, which messed in ternary forms create a super organism as a fractal plane, which co-exists in three scales of reality:
So we define any super organism of Nature in a very loose manner as an ensemble of similar forms, (atoms, cells or citizens in physical, biological or social system) put together by 3 physiological networks that ENSURE BETTER its survival, reason why constantly nature builds NEW SCALES OF WHOLES departing from similar parts with 3 networks, which first ‘herd’ the system and as they become more complex finally control its social parts, becoming the main element of the super organism. So the elements are:
– Similar forms which share a common language of information to organize them through 3 networks:
- -Entropic, moving networks that allow the system to move and obtain
- -Energy to reproduce the goods the system needs to survive, through
- A common language of information that allow the system to synchronizes its actions.
In the next graph we see how systems have evolved in all sciences into wholes, from simpler herds of atoms into more complex social, biological organisms (multicellular beings, human societies) and complex physical organisms (galaxies). All of them can be modeled with the laws of systems sciences, and also improved by evolving better the social networks of energy, entropy and information, which allow cells, citizens and atoms to behave as wholes:
Let us then define the ‘stair of Universal supœrganisms to understand this:
∆-1: A cellular organism is a population of molecules, related by energetic networks (cytoplasm, membranes, Golgi reticules) and coded by genetic information (DNA-RNA.)
∆=o: A human organism is a population of DNA cells, related by networks of genetic, hormonal and nervous information and energy networks (digestive and blood systems).
∆+1: An animal ecosystem is a population of different carbon-life species, related by networks of light information and life energy (plants, prey) coded by instincts.
∆+1: A historic organism or civilization is a population of humans, related by legal and cultural networks of verbal information and agricultural networks of carbon-life energy, coded by human memes.
∆+1: An economic ecosystem or nation is a population of human workers/consumers and machines, related by networks of digital information (money, audiovisual information, science) & energetic networks (roads, electricity)
An economic ecosystem differs from a historic organism because they use different languages of information (civilizations use verbal or ethic laws while economic ecosystems use digital prices) and include 2 different species: human beings and machines.
In the graph, a complex organism can be written with the algebra of Multiple Spaces-Times as a chain of points joined by energy/information flows between several ‘planes of existence’. Strictly speaking the 3rd postulate of i-logic deals with ‘networks’, which are groups of i-points related by ∑ & ∏ and ‡ operandi, hence forming loose ∑=herds, connected, informative ∏-networks and ‡ parallel and perpendicular dynamic actions between those points and networks, that put together define a Superorganism. So a plane is a network of i-points and the messing of a certain set of networks defines the different complex ecosystems, organisms, worlds and Universes, which can be considered ‘wholes’, themselves i-units of a bigger scale.
In the graph the human being described in terms of its scale of i-planes.
The 3rd Postulate: networks and chains of existence.
Exact topological graphs however are only important when we study simplex, physical, homogenous planes where the diffeomorphic dimensions of energy/form/reproduction correspond to the 3 dimensions of Euclidean space.
Because of the flexibility of networks can adopt open and closed, motion and formal geometries in most cases, such as the graph we have to consider more than the basic O-cyclical i-nformative and |-energetic forms, shown in the graph, with symbols of i-logic, the causality of the events, which allow us to apply the same laws to all disciplines. For example in Economics Ricardo points out to the logic of increasing communication between points when he explains the advantages of free trade of different products between nations (nails from England and Porto from Portugal).
The same ruled applied to points of view means that ‘complementary points’ of energy and information that can exchange energy on one side for information on the other side are beneficial for both points of view. This explains the abundance of dual, complementary, fractal structures in which 2 networks, one of energy and the other of information entangle together, as in your body (nervous and blood system) or in the Universe (light and gravitational networks).
We have now the tools and understanding of the structure of mathematics to tackle in the rest of this work on the Languages of spacetime the ‘big question’ about reality that those languages enlighten: how can we describe better, the construction of the super-organisms of knots of time, which extend through ‘several planes’ of existence, and underlie the ‘structure of reality’.
All this belongs to the most complex and fundamental postulate of i-logic geometry, the 3rd postulate, coupled with the understanding of the ‘causal, multiple logic of time arrows’ that structure several planes of existence, displaced not only in space but also in time, into a single organism.
The Universe is a fractal of planes of space-time’, which constantly appear, grow and dissolve in infinite events of existence. How Multiple Spaces-Times become chained and connected, building from simplex particles super-organisms – those planes of existence of reality that structure the Universe? The answer is the 3rd postulate that defines the creation of networks of points, called planes.
Each st- point is a knot of times that becomes chained in a dynamic relationship with other points of time through its arrows of energy, information, reproduction and social evolution. In this manner points form ‘chains’ of existence, which become either ‘Darwinian relationships’, when one of the 2 points of communication is ab=used as energy of the other one with ‘more existential force/momentum’ or a stable, complementary relationship if both points are symbiotic, as energy and information or parallel, self-similar, forming a herd – a network of equal points that act together as a whole.
In Geometrical terms, the Universe starts with simplex st-points that communicate flows of energy and information, creating lines and geometrical groups. And the rules of those geometrical events of creation are defined by the 1st and 5th postulate that explains the parts of the point and its apertures to the external universe from where it communicates flows of energy and information; by the 2nd and the 4th postulate which define in geometrical and behavioral terms the relationships and lines of communication between two points, according to their degree of equality. So the 1st/5th postulate, which defines geometrically and logically a point and the 2nd/4th postulates, which defines how they communicate, establish the conditions that will determine the type of topologies or network/spaces that the system creates. Those organic topologies is what we call planes of exi=stence, explained by the 3rd postulate of i-logic geometry. Since a plane is a group of points coming together as a relative space, which will be ‘more dense’ according to their degree of self-similarity (Riemann’s masterful definition of any space made of Non-E points).
Thus, if the first & fifth postulates are related to the perception of information and energy by a point, with its inner body/head parts; and the 2nd and 4th postulate are related to the arrow of reproduction between complementary energy/form, male/female, yang/yin beings, the 3rd postulate explains the details and possibilities of social creation of arrows of time; facts which establish a clear mathematical relationship between the arrows of time and the postulates of geometry in which all mathematical laws are based.
Creation of Planes of Space=networks of points.
The Universe constructs super-organisms, building Planes, which are networks/herds of non-Euclidean points, step by step, according to the geometrical and biological laws, described in the 3 first postulates of Non-Euclidean geometry: The graph breaks a standard knot of time in its 3 planes. The point is an entity that constantly searches information with its head and energy with its body, creating symbiotic and Darwinian events with other knots of time, through 3 time arrows/dimensions between 3 planes of existence, the plane of the point, i, a lower plane of relative energy, st-1, and an upper plane of relative information, st+1.
In the graph we show the point as a complex 0±1 plane, interacting with that plane or ecosystem (geometrical/ biological jargon) through those 3 arrows, which are its 3 dimensions of existence or ‘vital coordinates’ that create the motions of information and energy of those points. Because the frequency and speed of those arrows/exchanges of energy and information with the ecosystem vary, we also talk in complex Time Algebra of 3 relative speeds, Vs., Vt and Vts, which correspond to the arrows of spatial energy, temporal information and reproduction of the point, (for which often the point will chain itself with a relative complementary being), normally represented in the x(se), Y(ti) and z(st) coordinates.
Further on, those 3 ‘actions’, ‘arrows’ or ‘motions’ of time produce in the spacetime around the point different dynamic transformation:
– I<E: Energetic arrows produce an expansion of the spacetime around the point as in a big-bang or process of death.
– E>I: Informative actions produce an implosion, as energy becomes warped, informing the point.
– EI=ei: Finally reproductive actions tend to maintain the space-time around the point stable as they combine the arrows of energy and information, creating a self-similar point in a parallel region of space-time.
And we use the geometric/algebraic symbols of implosion of information, >, explosion of energy <, and parallel creation, =, to signify events belonging to one of the 3 arrows/dimensions of the point.
Thus, those 3 dimensions/arrows of time define the self-similar will and actions of most entities of the Universe, despite their apparent, different morphology and degree of complexity.
The interaction of those individual points of view, constantly throwing its ‘subjective arrows of time’, capturing energy and information from the universe, is the game we all play, and in doing so we establish relationships with other self-similar points of view, creating herds, ‘parallel planes’ of points of view or Darwinian relationships between relative energy victims and top predators, which we represent as events between two different planes of simpler and more complex forms: Est-1->Ist, where E refers to the energetic function of the victim, belonging to a plane (st-1) of less complexity than I, the predator belonging to an upper plane of more information, I.
All those relationships are reflected in the drawing in which we see complex chains of time arrows between points of view, which forms an organic system. In each plane of existence or scale of the Universe such chains will represent a specific species that curiously enough show homological properties with other species of other scales existence. The previous graph could be, for example, a complex molecule. Such molecule represented here with ‘Time Algebra’ could also be represented as classic chemistry does with ‘lines’ of forces and ‘spheres of information’ that will show the geometrical topologies of those points.
Organic systems of points in different scales of reality.
When we visualize the world in terms of points of existence and flows of communication of energy and information we can see the dynamic creation of networks of points of time in any scale of reality. A human group is like a cellular body communicated through verbal codes of information (words) and systems of energy (light/spatial location, light-based food, such as plants and animals). Human groups are social networks of increasing degrees of complexity that grow in a decametric scale from individuals to families, clans, tribes, villages, cities, nations, civilizations and the species.
The graph shows a group of human beings, whose cyclical points of view or heads, are maintained in a parallel, relatively equal plane of existence to share information through flows of words communicated through the air medium/space and share energy coming from a relative ‘lower’ plane of existence, the table. Arguably those configurations are not different from the ones established in atomic networks or herds of sky gulls moving towards the lower plane of seafood as they maintain their parallel distance based in the sounds and motions of the air. Moreover human beings will always try to maintain such geometric configurations between their Non-Euclidean points =heads (not between their bodies, which are blind tails of energy for those points/heads that store the will of times): Observe humans relating to each other with motions and words emitted by their heads that are always kept in a relative parallel plane of existence with other human planes.
Reality is a game of points that gauge information and form lines, by sharing energy and information with other forms of view. Those lines, e x i become then networks of self-similar points, planes of existence, of which the most sophisticated is a complementary, social organism: exI +Ei, made with a head/particle dominant in information and a body/field dominant in energy.
When many points=cellular elements communicate they create more complex simultaneous presents by self-repeating in growing scales those ‘simplex’ patterns. And finally, through those multiple events they transcend, emerging as a new Plane of Existence. Such systems explain the structure of all kind of planes, including the simplex physical planes. So recently fractal theorists have proved with a theory called ‘causal triangulation’ that Time Arrows can form causal triangles whose connections grow by iteration till reproduce the 4-dimensional Universe of Relativity. Thus, when we generalize the 2nd and 4th postulates to n-points in communication we create a finite, organic ‘plane of existence’, either a simple network (such as a Crystal or a sea of water) or a dual network, a ‘complementary organism’, with 2 exi networks.
The subjective will of ∞ points of view, acting selfishly come together creating a complex, eusocial reality. Order dominates the chaos of infinite selfish points of view, building a single reality, for biological reasons: The survival of points is better achieved, when acting together. So they become stronger than individuals; hence they win in the struggle for existence, defining in the process 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 = lines with volume, whose shape in space and duration of time is defined by the 2nd and 4th postulate of relative equality (self-similarity). And finally they create complex organic topologies of existence of a relative number of infinite points of view.
When we add on all postulates – the structure of each point (1/5th postulates), the types of connections and waves between them (2, 3rd Postulates), and the causal, i->e->r->s chains of the Universe – we can explain creation, since the number of combinations of e and i is obviously limited; and so are the number of events, of reality. Thus we can know the outcome of each and every possible event or combination of the 3 wills=arrows of time of each point, (energy, information and reproduction), according to the 3rd postulate.
Thousands of pages and mappings of the laws of existential geometry, applied to each specific species and scale of existence of the Universe, prove that reality is quite deterministic, in as much as points constantly behave in the same manner, absorbing energy and information and trying to emit it with the purposes of reproducing or playing a social role in a higher plane of existence.
Of all those possible events, the commonest chain of existential events departs from a point of view that gauges information, in order to absorb energy, till it can reproduce its fractal form, ExI, till creating a social mass of points, ∑Exi that become a stable network, st, a vital, topological space: ∑Exi = st.
The Universe creates constantly ‘feedback equations of existence’, the ultimate essence of all realities.
Recap. Self-similarity determines the different ways in which Non-E points relate to each other, either associating together or fighting for survival, trying to absorb the energy of other points when they don’t understand each other or building social planes when they can create informative networks. As a result, and when those relationships are generalized to n->∞ points we obtain different organic planes of social points.
Points of view are a mixed topology of membranes with open balls that have a dark space they can’t see.
Topological planes are dynamic, geometric networks of st-points=numbers, constantly moving and communicating through flows of energy and information. Yet those networks rarely form a continuous tight space: space-time planes are filled with holes in which other networks might co-exist, or where flows of unknown, dark energy and information cross.
Thus, the creation and destruction of networks of self-similar points of view – the generation of complementary organisms – is all what we see; but there is also all what we don’t see, as most information and flows of communication between p.o.v.s, which are not similar to us, remains invisible.
Such dark space will be the surface of reality that a st-point with limited apertures to the Universe cannot perceive (an energetic mouth, an informative eye and a reproductive jet).
The degree of ‘dark space’ a point does not perceive depends of the complexity and apertures of the point. If we consider the simplest bidimensional point, a pi-vortex made of 3 standard units that form its outer membrane, it will have π-3=0’14 apertures to the Universe. And it will have a total dark space of 0’14/π=96% of circular reality, which the point doesn’t see through its apertures. That quantity is curiously the same quantity of dark, gravitational space and matter we do not perceive as beings belonging to the membrane of light-space.
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:
‘A plane is a network of n st-points joined by flows of energy and information’.
The existence of dark spaces and planes which are discontinuous networks is essential to build up a Universe of multiple worlds, webbed into a relative infinite number of parallel planes that intersect, communicate through bridges between the network-planes and allow the existence of complex complementary organisms in which a relative wider, simpler energetic network is controlled by a denser, smaller, informative one, intertwined through those dark spaces.
Thus without dark spaces a complex reality of complementary beings is not possible. In the Universe the membrane of dark matter are the points of a network of flows of dark, gravitational energy over which the electromagnetic membrane warps itself, absorbing that energy and forming light-waves and more complex, evolved light particles.
In a human being, the blood network surrounds and warps around the digestive network from where it obtains its energy; and the nervous, informative network surrounds and intersects the blood network from where it obtains its energy. It is thus precisely the fact that planes are networks of points and dark spaces fill most of the network what allows the interaction between complex planes that form organic systems. A human being is in fact made of 10 of such subsystems totally warped together in exchanges of energy and information that permits our existence.
All this is the essence of a reality constructed with multiple planes of space-time that biologists recognize as networks of cells’ but physicists, stuck in the paradigm of metric measure of a single, continuous space-time still fail to recognize.
Recap. Points perceive through apertures only a part of the Universe. We could theorize that all what we see is merely the light-space membrane that floats in a much wider gravitational Universe.
The continuous and discontinuous reality.
The human aberration of perception is 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. Only when 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.
Let us consider one of those dualities in more detail: the continuous and discontinuous reality, ruled by a simple law that relates two different scales of existence.
`The mean distance in space-time between 2 relative cells, st-1, of a fractal superorganism, i, equals the distance between its relative molecular systems, st-2, in time and space.’
The law of fractal jumps structures hierarchical organic systems through social planes, Est, of different i-nformation, among which the fractal jumps take place:
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, fractal jump that reproduces a fetus implies the minimal fractal jump in space as the child is born contiguously to its mother.
Though st-points are discontinuous they have 3 apertures through which energy and information flow. Those apertures are fractal, small holes where only st-1 particles might flow. Hence the st- point communicates quanta from its lower, past scale of existence. All communication acts are fractal jumps both in time and space that can either communicate energy or information between similar particles or particles from st±2 planes of existence according to hierarchical, illogic laws:
‘2 particles on the same space-time plane transfer information and energy in both directions.
A st-1 space-time plane transfers energy to the st- plane from which it receives information.
A st-2 space-time plane transfers temporal energy, without receiving anything on exchange.’
Though the existential laws of i-logic might seem strange to the scholar accustomed to operate in abstract, they do apply to reality and reach enough detail to connect them with experimental events. The strength of a communication or bondage between knots of time is the essence of what the 4th postulate measures. And such bondage is maximal in complementary forms, couples, and then in parallel forms, brothers. It is all about bondages creating strong knots of time due to the symbiosis of the arrows of existence of two forms. Forms share and the frequency increases the speed of the cycle of sharing. All action requires a reaction. Newton in fact defines the principle of cyclical inertia, which the 2nd and 4th postulate clarifies further.
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, st and st-1 planes are asymmetric as the upper classes receive energy and give only information. But we said that Fractal jumps are contiguous, so how in the 3rd case might exist a flow between st-2 and st planes, separated by 2 scales? Obviously because the st-1 space-time field dies, exploding into st-2 particles that feed as energy or information the st 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 Fractal logic, are essential to describe and explain all kind of mysterious phenomenon in physical and biological space-times. Let us consider some examples:
– Borders between the 2 planes 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: ExI<ei=ie>IxE. It explains the 2nd law of Newton, the law of action reaction, according to which, exi, the fractal action of Ei over Ie, is equal in value to ‘ixe’, the action of Ie over Ei.
– Yet what Newton missed was the fact that ‘actions’ and ‘reactions’ are equal in Exi 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, E<=>I. Fractal physics explain the 2nd case with a mysterious principle that not even Physicists fully understand: ‘time and space are non-commutative’. That is I->E is not E->I, I>E is an energy transformation and E>I is an informative flow. And they are not the same. So in quantum physics and Fractal theory the order of the parameters of an action matters.
Recap. Energy flows towards the informative, future form and energy towards the past, establishing a hierarchy between information and energy, the 2 simplex arrows of the Universe. Both together create hierarchical organisms, distributed through several planes of existence in chiral, hierarchical 3 class-structures, in the dominant dimension of height and information. Only a present space, repetition of the same form in extended surfaces is democratic, equalitarian, creating a mass of undifferentiated quanta without much height dimension.
Organic networks as planes of existence.
The 3rd postulate of Non-Euclidean-geometry explains how to create a plane as a network of ‘simultaneous, present, self-similar beings’ created by the multi-causal flows of energy and information between all those self-similar points that merge together into the organism. Since the fundamental mathematical property of those points-beings is its social nature. Indeed, 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 networks made of fractal points with a certain content of spatial energy and information. A plane is a network of points – reason why we can relate geometry and numbers. If we return to a previous example, a ‘point’ is the minimal unit or number ‘1’.
Thus, a number is a ‘class or set of self-similar beings’ simplified as ‘points’ (so we say 3 not 3 pears or 3 humans). Mathematics in that sense, in its simplest elements represent the rules of engagement of ‘herds of points of view’, since ‘each number’ has certain geometrical properties, so 1 is indeed a point, 2 define a wave of communication, 3 form the simplest plane, and those 3 fundamental numbers have only a variation (you can only draw a figure to connect them). So the ultimate answer which explains the enormous application of mathematics to describe the behavior of any ‘group’ is precisely the existence of ‘Laws’ which independently of the type of entity of energy and information we describe, apply to all points of view, to all entities and scales of reality and to all herds just because they are herds=waves and they are systems of energy and information. Those general laws that apply to all beings by the mere fact of being made of ‘spatial energy’, a substance with geometrical/ mathematical properties and being part of a group or ‘number’ whose social properties are defined by the possible relationships between couples, triads, foursomes and tetraktys are the laws we are most interested in.
The most important universal numbers are the decametric scales since 10 is the ultimate constant of the Universe, the perfect network, the most common number of ‘points’ that create a fractal network, 3×3+st. It is the tetraktys already understood by Pythagoras, who considered it the perfect number: 3 elements dedicated to the arrows of energy, information and reproduction in 3 opposite directions and a 10th element, first of the next scale, communicating them, protected in its center: A perfect topology to play the game of existence. Since Numbers are geometries that create networks of Non-Euclidean points. And so they can be classified by their efficiency as forms of Nature.
In that sense, reality is more like a carpet in which several nets web together into a tighter configuration or rather like a cat alley, which we do not notice in our own web of relationships but creates an entire different ecosystem, or the duality of the web of microscopic insects and macroscopic mammals that co-exist in two different scales of reality. Because networks tend to create ‘parallel’ bidimensional webs, in a 4 dimensional Universe with a 3rd dimension of height and one of motion that constantly displaces those networks, many networks can co-exist and interrelate together, creating the complex ecosystems of reality. Moreover if we consider that 96% of dark space to be standard the quantity of parallel and intersecting networks/planes of existence that can co-exist together is enormous – at least 25 networks, each occupying a 4% of reality can fit in the 100% of spacetime of reality.
Each super-organism is a world in itself, created by the confluence of 2 or 3 space-time networks of energy, information and in more complex systems, reproduction, where each network accomplishes one of the 3 arrows of time of the organism. Yet the energetic, informative and reproductive network, which extend the point in 3 relative space-times, whose topologies correspond to the spherical, toroid and hyperbolic topologies of any st-point, become a unit of a new scale of existence of increasing complexity. And so we talk also of 3 scales of size in more super-organisms: the ‘molecular’, organic and social scales. Finally the whole system will evolve, living through 3 ages of increasing informative warping…
For example, the humans system is made of 3 main systems, the energetic, digestive system; the reproductive, blood system; and the nervous system. The 3 systems are fractal, cellular networks in perpetual motions, which intersect in certain regions of exchange of energy and information. So the blood and energy system intersect in the lungs in which they exchange energy with the blood system and the blood, reproductive and nervous informative system, intersect in muscles, in which perpendicular nerves exchange information with the muscles. And the 3 systems form the physiological systems that define life and its 3 arrows of energy, information and reproduction, each of them attached to a given number of cells. So if we were to take the p.o.v. of the cells, we could also say that the human organism is a network of cells joined by 3 flows of energy, information and reproduction mediated by those networks. Yet all the systems together are what form the Human organism.
Further on, the organism will go through a young age of energy and motion; a mature, reproductive age and an informative age, each one dominated by one of the 3 networks. And it will extend through 3 scales of existence, the cellular, organic and social scale; such as the human being will be born as a seminal cell, evolve into an organism, which will integrate itself into a society and when it dies, it will first erase its social memes, then it will dissolve its cells and so finally it will return to the lower plane of cellular existence in which it was born.
Recap. The structure of super-organisms across several planes of existence is based in 3 networks of st-points, the energetic, reproductive and informative networks. Those networks leave between them a quantity of dark space, where the other networks can intersect and connect with its st-points. Its ‘discontinuous borders’, are asymptotic bridges where through a change of state, the 3 network/membranes exchange energy and information.
Dimensions of organisms made of space-time planes.
Networks of st-point are dynamic ‘groups’ in motion; either herds or ‘rings’ extended in two scales of reality, which are tighter and still, due to the ‘connections’ established on its lower scale. We talk of ‘waves/bodies’ as herds of quanta or cells and of ‘particles=heads’ as networks where the quanta or cells are interconnected in greater measure. Thus, while groups/waves/bodies (mathematical, physical, biological jargon) extend in a single bidimensional plane, an informative network extends through 2 st-scales or perpendicular planes; one created by the points and the other by the networks or connections between the st-points and/or the st-points and its energetic herds. So it has 2+2 fractal, holographic dimensions.
Thus, as a consequence of the new definition of a point, a plane becomes now a 4-dimensional ‘holographic topography’ with 2×2 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. All this brings the theme of how many ‘real dimensions’ has a given system. And the answer is: depending on how we count dimensions and how many planes we study.
In fractal geometry a network has different dimensions depending on the complexity of its branches and quantity of space it fills up. This was already observed by Peano and Cantor who realized they could create a zigzag line that filled up the entire bidimensional plane. And as a general rule most networks of points can be considered to fill two dimensions and two systems of energy/information networks together to create a holographic intersection that adds up to a 3rd dimension, which finally if it has motions adds up the 4th dimensions of most organic systems of the Universe. Since dimension is a flow (dynamic version) or network (static version) of quantic, cellular points, gathered into bidimensional waves and 4-dimensional space-time fields.
Yet things become more complex when we consider systems that extend through several scales of size, and when we consider the ‘amateurish’ analysis of dimensions by most scientists unaware of the laws of i-logic geometry and quantum space-time systems.
For example, physicists, without those concepts wonder why strings have 3×3 inner dimensions of space and one of time. This means that they are calculating systems that extend through 3 planes of existence. Further on, those strings then gather in herds called electromagnetic branes, which warp into particles. 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.
There are many types of points with parts, gathering in scalar networks of growing size and complexity: atoms gathering in molecules, stars in galaxies, strings in particles, etc.
A fractal system keeps adding dimensions, as each point becomes part of a network that evolves into a point of a higher plane. Depending on the number of planes through which we observe a point, 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 of its 3 main st-planes.
Fractal ±st-point: 3 st-1 D > 3 st-D > 3 st+1 Dimensions
Finally, those planes are joined by ‘bridges’ of energy (from st-1 to st) or information (from st to st-1) called co-dimensions of ‘relative, perpendicular height’, the temporal, evolving dimension that connects them to the upper plane of existence through their processes of iterative growth and social organization. Those co-dimensions measure the relative height or fractal accumulation of self-similar forms that takes place beyond the membrane of the Mother-Cell, as time iterates and evolves the natural fractal into a higher st-scale. Since informative cells accumulate in a relative perpendicular dimension of height, from living organisms whose informative heads are on top to audiovisual towers and satellites, to the perpendicular co-dimensions of microscopic growth of Mandelbrot and Koch fractal.
A fractal ±st-point exists as a 3 dimensional organism, which acts in the external world pursuing energy, information or reproductive goals (mechanically, consciously or in a vegetative way, or even micro-managed by a catalyzer 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 has also inner dimensions, defined by its quantum numbers.
Recap. For more than a century, Physicists have been troubled by the need on their equations of Quantum Theory, Relativity and String Theory of odd dimensions, whose ‘ad hoc’ explanations varied from an author to another. Yet in fractal geometry the issue is resolved since the concept of an extra-dimension has a clear, mathematical and logic meaning, related to those scales, all of which will have:
– A 3-dimensional sub-space within their organic forms, as we come closer to them and observe their details no longer as points without parts but as full grown organisms. Thus the existence of 9+1 inner dimensions in objects like Strings means merely that there are at least 3×3 inner fractal micro-scales within the structure of those strings, where those dimensions will be located.
The mathematical model of organic, scalar fractals.
We can now merge what we learned about the fractal structures of the Universe, and its creation through planes of existence, which are organic topologies made of networks of points communicating through flows of micro-fractal points. The Universe and all its parts follow the laws of super-organisms, which define all what exists as ‘organic fractals made of self-similar cells joined by networks of energy and information’. Where cells are knots of Time Arrows and fractal means a scalar, self-generated, organic, repetitive reality:
– A reality structured in several ‘scales’ of different spatial size and time speed, such as the smallest spaces move faster and show a higher frequency in its cycles of time (metabolic law, Chip paradox, etc.): Max. E = Min. Ti; Min. E= Max. Ti
– A reality generated by ‘informative’ cycles, which can be described with a generic feed-back equation, E<=>Ti, and any of its self-similar specific ‘generator equations’ of information that code the structure of any entity of reality (from DNA genetic codes to quantum equations of particles).
– An organic reality, which constantly reproduces its form in self-similar, micro-replicas of each point, and then organizes those self-similar ‘fractal parts’ into wholes, using them as waves of communication that relate points between them or forming with them an offspring of similar beings.
This organic, fractal, informative design of reality, explains why the Universe shows a scalar, social nature, ‘transcending’ from smaller to bigger Planes, invariant in its e & i forms – the energy line and the information cycle – thanks to the fractal reproduction and social organization of self-similar forms.
All those complex systems extend through 3 main st-scales or ‘planes of space-time’, structuring reality as a ‘fractal, non-Euclidean topology of multiple, causal arrows of time’. Yet such complex reality requires new tools of geometry and logic to define properly the laws that relate all the elements and scales of the system. Since most sciences use still a single, continuous space-time plane (Cartesian), a single, Absolute Time cycle (clock-time), a geometry of forms not of motions (Euclidean geometry), and a monist, A->B causal logic (Aristotelian Logic).
Thus, a great deal of Multiple Spaces-Times is dedicated to understand the non-Euclidean, fractal geometry of space, developed in recent years, which can study a space-time made of motions (Non-Euclidean geometry), divided in several scales of size and self-similarity (fractal geometry), in which reality is caused by multiple time cycles/causal arrows and multiple agents (Non-Aristotelian logic), tracing geodesics in search of those Time Arrows. Ultimately what you observe is a game of non-Euclidean points=particles=heads, each one associated to a lineal field of energy/body (Complementarity Principle). As entities of energy and information, they are constantly in search of more energy and information to reproduce and form social systems.
To that aim each ‘Non-Euclidean point of view’, the fundamental, formal particle of the Universe, defined by the 1st postulate of Non-Euclidean Geometry (a point, which unlike the points of Euclidean Geometry, have organic inner parts), will start a line of Non-Euclidean communication, (a wave packed with energy and form, described by the 2nd postulate of Non-Euclidean mathematics), shaping ‘networks’ of energy and information points (topological planes defined by the 3rd postulate of Non-Euclidean mathematics), which create a relative ‘space-time’ being of one of those ‘existential scales’.
Recap. Non-Euclidean, fractal space-time was defined by Riemann, who affirmed that a ‘space’ is a group of self-similar points, forming an undistinguishable ‘herd of points’ that becomes a homogenous plane. Riemann considered the ‘density’ and homogeneity of those spaces according to the degree of equality of those points (4th non-Euclidean postulate) and developed the initial steps of a non-Euclidean, fractal geometry of ‘discontinuous points/knots of Time Arrows’ that gather into networks, which form organic planes of existence.
The scales of reality: human organisms and Universes.
A human being exists simultaneously through 10 planes of space-time existence, from gravitational space to the cosmological plane of the solar system. The complex interrelationships between the points of each of those planes of existence, among themselves and its upper and lower scales, create our organism and influence our modular consciousness – as we feel the will of the Time Arrows of each of those scales through different senses: we feel gravitational weight and physical pressure, electromagnetic heat and atomic smells, photonic images and molecular tastes, social love for other human beings and the exhilaration of motion.
We are the most complex species of space-time, only because we are the species we perceive better, not because humans are the summit of informative evolution in the Universe. In any case, since perception is reality, we will always appear far more complex in form than the extended Universe, dominant in energy-space, of which we perceive very little according to the paradox of the ego (as we gauge from our perspective and so we see more detail in the closest entities). Thus the study of man as a complex organism should be the leading science, which offers more information. Then by homology we can apply the laws discovered in the study of our organism to other entities.
In the initial graph we see those 9 fractal space-time scales of increasing complexity, which emerge from the interaction, chains and evolution of the species of each scale: photons that become particles that become atoms that become molecules that become cells that become human organisms that become social cells of civilizations and economic ecosystems.
The fundamental particle of the Universe is a Space-time Super-organism that repeats its cycles and shapes of energy and information, co-existing between birth and extinction in 3 fractal planes, which can be subdivided each in 3 fractal energy->Reproduction->Information networks (spatial view), living 3 time ages (temporal view) as he fulfills its arrows of existence in those 3 planes.
If we extend that concept, the Universe becomes a hierarchical, scalar system, extended through a series of self-organized st-planes: particles gather into atoms, atoms gather into molecules, molecules gather into cells, cells gather into organisms, organisms gather into planetary systems that gather into galaxies that gather into Universes. the outcome is a scalar structure of 10 space-time planes, where fractal entities live self-similar cycles of existence under the same space-time laws, from the smallest, invisible plane of gravitational existence, till the Hyper-Universe in which ours is a single cell:
st=1 groups of ‘G-constants’ evolve, forming, curving the energy of gravitational space into masses.
st=2 groups of ‘Planck actions’ form the electromagnetic light space, evolved into cyclical charges.
In the st=3 plane of atomic existence, groups of particles became atoms.
In the st=4 plane, groups of atoms became molecules.
In the st=5 plane, groups of molecules became cells.
In the st=6 plane, groups of cells became living systems.
In the st=7 plane, life herds became ecosystems, societies, nations and global planets.
In the st=8 plane Groups of solar systems became galaxies.
In the st=9 plane, Galactic clusters become Universes.
Thus, humans are a st=5, 6, 7 species; since our organic system belongs to the st=5,6 scales of biological cells and living beings, and we belong to the st=6, 7 scales of individuals and social organisms – as cell of a nation or religion.
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 as each galaxy becomes an atom of the next scale. 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 it is a choice of the reader: if he is objective he should 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 infinite, as the arrow of eusocial evolution should be acting for ever in the eternal universe of time motions.
Thus even though the perceived Universe displays only i=10 scales to human observers, ‘i’ probably tends to infinite.
Recap: the universe is a fractal structured in ternary scales that create decametric social organisms. We cannot know if those scales are infinite but the eusocial arrow of love should have act ad eternal since time and space are absolutely relative.
The complex causality of Multiple Spaces-Times.
The key law of flows between 2 planes of existence is:
‘Information flows from a more complex, ‘upper’ plane to a ‘lower’ more extended plane, Ist+1->E; energy flows from a lower, spatial plane, to an upper, informative plane; energy and information flow within the same plane of existence’.
This self-evident law determines the outcomes of events and the form of structures, from the 3 perspectives of reality:
– Geometrically, in relationship with the 3 topologies of the Universe; as it will determine the flows and channels within a certain organic st-point.
– Temporally, in relationship with the 3 dimensions of time; as it will determine the relative flows from past to future and future to past, and the simultaneity of certain events in present, between complementary systems.
– And organically, when we combine both approaches, as it will determine the key events of existence: the why palingenetic birth and evolution, the process of death, etc.
Departing from that law, we can tackle the most complex level of understanding of reality – the i-logic of systems, created by multiple time arrows, which no longer follow the Aristotelian laws of single causality, A->B, but the logic of simultaneous present creation, either by the confluence of past-energy and future information, or the simultaneous confluence in a formal ring of multiple, self-similar time arrows. Those complex systems of causality were partially studied by Einstein with its concept of simultaneity and ‘convergence’ of past, present and future, and by quantum physicists with its analysis of particles and antiparticles and the invariance of physical phenomena regardless of the direction of time we study, but now we can analyze it with more rigor in this and the 2 next paragraphs, since complex temporal causality and fluxes of energy from a relative past plane st-1 to a relative future plane st+1 (e->i) and the inverse process, a flow of information from a future plane, st+1 to a relative to past plane st-1, is at the heart of the structure of superorganisms (i->e).
Unfortunately, lineal time introduced in science the concept of single-causality (ceteris paribus analysis), which is only a partial analysis of the causality of most phenomena, in which acts a ternary causality (as energy flows from the lower plane, information from the upper plane and complex flows of energy and information happen between the cells of the same plane of existence). For that reason, most scientists constantly argue, considering their ‘cause’, normally one of those 3 relative events, the true cause. Yet in fact all events need at least 2 causes to exist, one from an energetic past and one from an informative future that converge into a relative present.
Let us then introduce the complex logic of organisms with relative future, informative systems and relative past, energetic systems (IX); studying next (X) the causality of a present system or knot of times, made of multiple time arrows/cycles; and finally (XI) some key events of ‘existence’ in which those flows of time take place, such as the process of palingenetic birth and its inverse process of devolution or ‘death’.
Recap. Events require to exist at least 2 causal arrows, E<=>I, which are 2 complementary networks of energy and information going through the 3 topological ages of the life/death cycle.. Such is how new systems are repeated: on one side all becomes a self-similar network of knots of time cycles that go through 3 ages and reproduce in certain topological forms. On the side of complexity of the time arrows of those Non-Euclidean knots, the iteration and combination of those simple elements that make networks, self-reproductive fractals and the logic complexity of the synchronicities of those feedback cycles create systems of enormous complexity.
Information networks control energy herds.
The beats of all species, as they absorb and emit information and energy in order to reproduce and evolve socially into self-similar or complementary networks, chain them into complex organisms and ecosystems. And since each st-point is always a cellular part of a bigger organism, finally all those beats, cycles and chains become part of an interconnected huge organism, the Universe.
The simpler of those chains are Darwinian events that connect victims of relative energy and predators with a more complex ‘form’; the sum of all those chains in a given ‘ecosystem’ or plane of existence form trophic pyramids.
Darwinian E->I events last a brief period. Yet Nature sometimes converts Darwinian events into symbiotic, dual body/head organisms, in which the ‘fastest’ temporal, informative beings tame, enslave and control the slower ones. So while the faster lion feeds on the slow buffalo, humans first feed in buffalos and then tamed them, creating a symbiotic organism – the herder and his herd. In the same manner, the first, faster electrical neurons probably devoured, smaller, slower chemical cells, but both together finally evolved into complementary organisms, while the fastest neuron controls the chemical cells of your organism, extracting energy from them. Thus, an organism is a chained system of top predator cells that control herds of tamed chemical cells; and an ecosystem is a loose organic system in which the top predator ‘cells’ only interact with the slower ones when they feed on them.
A 2nd element to understand such chains between faster ‘informative cells’ and slower energy cells is the fact that the faster cells can dynamically or statically (through a network of connections), control multiple, slower cells simultaneously and vice versa, it can process due to its faster time cycles, multiple messages coming from several slower cells that ‘cause’ its action. And this happens in all systems, including a human system in which a speaker talks to multiple ‘energy believers’. To that aim, we must consider a property of information we advanced previously: its fractal, reproductive nature that breaks a form of information or message into multiple self-similar messages (the speaker that reaches multiple people, the antenna that emits multiple electromagnetic patterns, etc.)
When we put together both properties of informative networks – to act faster and to act simultaneously – it is easy to understand why they can control the energetic cells of the organism. For example, the nervous cells act as fractals 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 fractal 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 ExI 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 small change in the Earth’s temperature provokes huge changes in the life of its species.
If we generalize those chains to enclose all organic systems of the Universe, the main systems of reality acquire a complex, deterministic 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. Finally information cells form complex networks and so despite being smaller in space, the whole network of ‘neuronal’ cells is bigger than the individual, divided, energetic cells, making easier that control by the ‘macro-organism’ of information. The result of those structures is the 3-class structure of all organisms, in which a head/particle of information controls a reproductive body/field of cells/wave, which obtains energy from an ecosystem from a 3rd lineal system of ‘limbs/forces’.
Consider for example, the 3 elements of life, C, N, O. Today we are still in monism and so even biologists will tell you that Carbone is the basis of life. Yet carbon is only the reproductive body of life molecules. Some thus add Oxygen, the energy of life. And indeed, the biosphere has exactly the same mass of Oxygen and Carbone (24.9%) in your bodies, as limbs and bodies tend to weight and occupy self-similar volumes. But this misses Nitrogen, the intelligent, informative atom of life, which is only 1% of the biosphere (0.27%) and was called first ‘azoe’, which means in Greek without life. Yet with its cyclical forms and its Hydrogen 3-dimensional ‘eyes’, it perceives the external world and structures life, accumulating in the DNA and brain. And it is a General Law of all Systems that the informative system weighs far less than the 2 others (so your brain is only 1% of your mass, and 1% of ‘stockrats’, owners of corporations ruled the Financial-Military-Industrial System).
Further on, beyond your organism, you are part of a world of water, the ecosystem of life. And so those 3 elements are exactly 50.7% of your mass, ½ of reality, the rest being mostly Hydrogen the primordial substance of water and the Universe.
The primary motion of all beings is lineal energy, in its relative direction of length, while the informative particle of any complementary system is on top, in the relative dimension of height. This leaves width as the natural direction for its re/product/ive, product equation: exi. Look at yourself: your height is your direction of information, your head is on top; your motion is forwards, in the length dimension of energy but your cells reproduce and multiply in the width.
All of us are knots of multiple cycles and arrows of time. So each of us is a multidimensional species. Complex beings, of course, do not follow exactly with geometrical precision those forms, because their vital functions must adapt to irregular ecosystems. Thus, perfect forms of energy and information exist only in the homogeneous, 3-dimensional ecosystem of interstellar vacuum inhabited by physical particles (and in lesser degree on water, life species, since water has complex motions and a general arrow of ‘light information and energy’ towards its surface).
For that reason, those geometrical rules of creation of vital arrows/dimensions of time/space, which are known to mathematicians as the product laws of vectors, are used to describe many operations between Time Arrows in the simplest geometrical systems of physical space: For example, light has 3 perpendicular dimensions.
And Maxwell found that the product of the magnetic, energetic, flat field, given by the magnetic constant of vacuum (which is a membrane of light space) and the informative, electric, ‘high field’ constant, gives us the reproductive dimension of speed of the light wave. Further on since light-space is the ultimate substance of vacuum and light dimensions are time arrows of energy, information and reproduction, as unreal as it might seem to you, the 4 dimensions you see are not abstract concepts but vital time arrows, reason why they suffice to explain it all.
What is the speed of those time arrows and its frequency? The question is the key to unlock the complex synchronicities, quantitative laws and Vital and Universal constants of each species of the Universe, so it requires specific, detailed analysis of each entity, organic system or plane of existence, but certain general laws apply to all systems, due to the causal chain between those 4 arrows, as energy appears first, then it becomes bended and broken into information, whose product reproduces a field and finally the re-organization of self-similar reproduced forms creates a more complex super-organism.
Fast and slow dimensions of space and time.
Further on, we classify the 2 dimensions of information, cyclical rhythm (discontinuous frequency) and height, as the fast and slow dimensions of time, since height is often the accumulation of cycles of time one over another, which become in still space (Galilean paradox), cellular bricks of a sensorial system.
We classify the 2 dimensions of space, length and width as the slow and fast dimensions of energy, since width is often the reproductive accumulation of lineal speeds side by side, which stores in still space (Galilean paradox), new energetic cells:
– Length is a fast dimension that moves ahead a Non-E Point and gives it speed. All bodies follow a lineal inertia in its motions, signaled by its relative ‘length or body orientation’. Thus, length is the arrow most often associated to the concepts of energy, expansive destruction and devolution. It also follows that the absence of memorial height in an organism, is the key to increase its speed as it diminishes its dimensional friction moving forwards and the quantity of form it has to recreate in each ‘fractal step’ as it imprints its information in the lower scale of reality. And so the fastest known force with zero height and maximal linearity creates a perfect lineal motion of ∞ speed and 0 form: the gravitational space over which the forms of light are imprinted whose speed is: v=e/i=∞.
– Width is the slow dimension of space that reproduces or accumulates spatial energy from side to side. In current theoretical models, strings reproduce laterally, creating fractal spaces in the dimension of width. In our scale, people become fat and wide, as they reproduce their cells. All beings reproduce their energy in the width dimension of space.
We also classify the 2 informative, temporal dimensions:
– The fast dimension of temporal information is the speed of perception of information given by the frequency/ rhythm of a cycle, which determines the rate at which the system absorbs its pixels. It is the arrow most often associated to the concept of time; often defined by an angular speed or frequency, which defines a clock of time. Thus its parameter is the inverse of lineal time, measured in t-1 units as a scalar number; and when we correct the equations of Physics in terms of cyclical frequency, a whole array of fascinating discoveries and solutions to classic paradoxes – from the paradox of Information (Hawking) to the paradox of Quantum vs. continuous time-space – become resolved.
– The memorial persistence of a certain form traced by a time cycle prevents the drawing of the next cycle in the same place of space, causing an ‘Exclusion Principle’. So when the cycle repeats itself, it does so over the surface imprinted in the previous cycle, creating a tube of height, the second dimension of time, caused by the accumulation of cycles of information. Thus, the slow dimension of time is informative, morphological height, born out of the evolution of a species through eons that accumulated informative cells in the height dimension. For example, the Universe was born flat in the big bang and now it is acquiring form, curvature; bilateral animal life was born as a flatworm that slowly acquired form, till rising to the height of man, the animal of maximal information; the first plants were algae that acquired temporal height; the Earth was born as a flat, rotating disk that became a sphere with height.
Yet in duality, according to the Paradox of Galileo, events are created by the dual causality of formal, geometrical space and biological function. So a 2nd bio-logical cause is needed to explain why dimensional, informative height is all-pervading in the Universe:
The informative organs of a being are placed on top of its height to improve its perception of its territorial space: the human head, the speaker; the black hole of a galaxy, the photon of a light wave are all located on top of the relative energy of their bodies to inform themselves on the location of its feeding energy. Thus, height is also the biological dimension of information and the arrow of future evolution in life, which evolved from flat worms into the human beings. Both time dimensions are dimensions of change. Yet the motion of evolutionary growth or height is minimal: it changes very slowly, through the reproductive, accumulative process of evolution; while the mere displacement of a cyclical, physical movement can act faster. The most complex arrow of time has the slowest dimension of change – evolution – which is shown as a change of form. Yet evolution sometimes doesn’t create height but it is often a contraction of space, as individual parts converge into a whole, herd, wave or organism. The 4th dimension of social evolution is therefore the only dimension that seems ‘static in space’ as a ‘form’, which doesn’t change from generation to generation.
So both geometries, cycles of time and planes of space are in fact bidimensional, adding up to create the 4 dimensions of space-time. Energy consists in an amorphous, relative surface of undifferentiated quanta, a plane without form – a network of small, cellular points, in which the creation of memorial time cycles imprints patterns of information and makes it recognizable as a complex system of multiple Time Arrows. Then, as the being develops those Multiple Spaces-Times, it acquires certain topological dimensions as an individual or as a species living in a longer time-frame.
Yet organisms are dynamic entities that change their parameters of energy and information and so they also change their dimensions of space and time, often transforming a dimension of space-energy into one of temporal information and vice versa: A space-time field is created and destroyed through the interaction of the 2 dimensions of energy, length and width, and the 2 dimensions of information, height and rhythm. To that aim, the 2 dimensions of energy and information combine and transform into each other in dynamic events of dimensional destruction or dimensional reproduction.
Finally to notice that according to the Galilean paradox we can do a description that spatializes time or one that temporalizes space: In a ‘ceteris paribus’ time model of reality all dimensions of space become temporal, as form becomes form-in-action, in-form-ation – exactly the inverse of what classic physics believes, when it affirms that time is the 4th dimension of space, by converting time into a clock-like, cyclical form of space. In the temporal vision, it is the lineal motion and lateral reproduction of information what creates the 2 dimensions of space.
Recap. Information networks have 3 advantages over energetic herds: they act-react faster, as they are smaller in space; they produce simultaneous, broken messages that reach multiple cells; and they act together as a single network, due to its multiple connections between them. Hence they can dominate the herds of energy in any dual, complementary organism.
In physics space has 3 dimensions of form and so motion only occurs through a dimension of time. This is false. Length is often the main motion of any system that displaces its body/wave in that dimension. Width is a slower dimension of spatial change, often related to cellular reproduction. Frequency is the fast dimension of time that defines the clock-rhythm of absorption of information. Height also changes; it has motion albeit slower than length, the longest/fastest dimension. It is associated to social creation. So we talk of Time-space as the perception of the 4 dimensions/arrows of time in motion, where the slowest 4th motion/dimension, social height, given by the arrow of evolution is the only one that seems to us static. Thus, energy displaces mainly in the dimension of length; information in the dimension of height; width stores reproduced cells, and then there is a 4 dimension of social evolution.
All dimensions of Time-space have motion, a fact which can be observed in all the planes of form of the Universe, till arriving to light space, the simplest substance of the Universe, which in the model of Time-space has also 3 obvious motions – magnetic width/energy, electric height/information and length-speed/ reproduction, and a 4th, less obvious time-change dimension of social evolution, represented by color.