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Ternary Universal Syntax

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 The Universal Grammar of all languages. Its syntax.

The Universe has a Universal Grammar for all its languages of perception of its fractal space-time cycles – the generator equation of the Universe. We can perceive it in space as a topological function (as we did in the previous post) or in time as a causal equation of relative past-present-future ages/horizons.

Or we can perceive them in space-time as organic living performing the ∂o,a,e,i,u actions of existence.

And we can summarize those properties with ‘Languages’ of Space-time’ Perception, different for each sensorial species. How can then unify all those languages?

Through the concept of a Universal Grammar, a variety of the generator, whose symbols represent the main dimensions, ages, scales and symmetries of all beings of existence. Accordingly all languages have 3 elements to represent those 3 dimensional space-time symmetries across several scales:

  • Universal Grammar: Subject (Information pole) < Operandi (actions) > Object (space-time point).

This equation is the Universal Grammar, the expression of the generator equation as a feed-back space-time cyclical action, the unit of all existences.

We shall thus consider in this section an introduction to the languages and minds of the Universe, expanded greatly in different posts.

 The 4th paradigm in a nutshell: The Universe is an organic system of energy and information.

All what you see in reality responds to a dual structure: Entities of Nature are complementary systems of simplex networks of energy and information, which combine to form a complex system that switches and merges both states. In the process the system might reproduce an entity self-similar to itself. And this is the definition of an organism, reason why we affirm that reality is dual and organic.

In Physics all what exists are particles of information associated to energetic fields that move them, and only both together exist (Complementarity Principle), creating a physical entity, which can decouple creating self-similar particles.

In Biology cells have a DNA nucleus of information, surrounded by cellular cytoplasm that provides energy to the nucleus; or an informative head moved by an energetic body. And only both together can exist, creating a biological organism. There are no bodies without heads and red cells without nuclei die faster than any others. And cells and organisms can reproduce self-similar forms.

Finally, in the economic ecosystem money acts as the informative language that gives orders to the physical economy, which reproduces all types of serial machines.

We formalize all Dual systems and events of reality born of complementary networks of energy and information with an Equation we call the ‘Fractal Generator of Reality’: ∑E<=>∏O. Since we claim this equation resumes all the events and forms of the Universe. It is the key equation of organicism, the philosophy of science called General Systems Sciences that considers the Universe and all its parts an organic system generated by feed-back, iterative exchanges, <=>, of energy (E) and information (I) between both type of  networks, (∑, ∏).

The symbol ∑(E) means that body systems are loose sums of cellular herds that only relate to their neighbors. ∏(O) means that informative systems form complex networks in which each element connects with all others, multiplying its ‘axons’. For example, 5 informative elements have 5×5=∏5 axons. Thus, information networks co-exist in two scales.

They are more complex than energy systems and dominate them. So informative particles, heads and money dominate respectively energetic fields of forces, bodies and the physical economy. The Generator Equation of Reality will allow us to derive a set of rules from where to extract the properties and laws of all disciplines of science, each one specialized in the study of the entities of energy and information of a certain scale of reality, from the smallest complementary entities studied by quantum theory to the biggest one, the Universe, a system of galaxies related by networks of dark energy and informative, gravitational forces. We can, departing from those concepts, define also the Universe and all its parts:

‘The Universe is a fractal, organic system, which reproduces complementary, social networks of energy and information that self-organize themselves in bigger, self-similar scales’.

We mean by energy, motion; that is, displacement in space, which is a relational concept, first defined by Leibniz: The sum of all motions, simplified by the eye-mind as a continuous, static extension creates our perception of space. And we mean by information, dimensional, cyclical form. And the sum of all cyclical forms-in-action, in-form-ations, which our mind perceives as cycles of clock-time, creates relational, ‘fractal’ time, also defined first by Leibniz, one of the fathers of the 4th paradigm1. Energy without motion or form without energy is not perceivable. Thus, systems to exist need a minimal quantity of both or they cease to exist – they die. Or as Taoist, the closest, classic philosophy to this book put it: ‘All yin-information has a drop of yang-Energy; all Yang has a drop of yin’.

Further on, because all systems respond to the same laws, we can recognize the shapes of a network dominant in energy by its form that will be lineal, planar, extended in space, as the line is the shortest distance between two points; hence the shape with more motion. And we can recognize the shapes of information because they are smaller in space, broken and cyclical, as the cycle or sphere is the shape that stores more form in lesser space; hence the perfect form of information.

So DNA nuclei, particles, heads and coins of money, made of gold, the best informative atom of the Universe, are cyclical and small. While fields of forces, moving bodies and weapons, made of iron, the most energetic atom of the Universe, are lineal and big. Finally, real physical, biological and mechanical systems are those who transform back and forth energy and information, between their two poles: E<=>O.

It follows also that cyclical information, frequency and time cycles are related. On the other side, expansive energy, motion and space, which stores energy in the vacuum are also related. So energy is fractal space and information fractal time – facts that will allow to fusion the jargon of many sciences in this volume of the series dedicated to the detailed description of physical systems and the 3rd volume dedicated to biological and sociological systems (the superorganisms of history and economics).

However before we can do that, we need to consider the formalism of this new paradigm of science – that is the laws of mathematics and logic that all systems of the Universe follow.

Universal Grammar.

‘ The languages of God are Infinite’ Upanishads.

In any logic language 2 symbols suffice to represent any being of the Universe. All languages have a syntax based in 2 parameters, one of information and one of relative energy that combine through a 3rd active principle, an operandi or verb, that merges them. We talk of a ternary Universal Grammar:

A (Informative subject) <Operandi/verb> B (energy/object)

The ternary, Universal grammar applies to all languages able to represent the systems of reality: from the code of colors (red that represents energy; blue, the color of information and green, the reproductive color) to verbal languages, where an informative subject relates to an object through an exchange of energy and information, described by a verb, shaping the genetic structure of all human languages 8. It also happens in mathematics, where f(x)= g(y) is the universal equation that summarizes all the others.

 

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NOW we have a problem. All this doesn’t fit in the Euclidean world of points with no breath, which mathematical physics uses to represent the Universe. So where we do put the cycles of time, traced in each old point now with breath, motion and parts? The answer is that to fit them all, all those time cycles of different speed and frequency which close in themselves, and have different sizes, we need another dimension, but fortunately enough that dimension do exist, and we know it exists because it has a ‘metrics’, that is a regime of similarity across all its extension that allows motions in that dimension.

Thus the metrics of the 5th dimension and its motions, as systems trace cycles of time, not only in a given ‘universal plane’, such as the light space-time plane defined by 4D metrics, but ‘any number of them’, co-existing simultaneously along a local domain of the 5th dimension.

The Universe can be perfectly understood when the human mind and its subjective vision of reality from the perspective of its limited ‘Aristotelian’ and ‘Euclidean’, logic, (temporal and visual, spatial perception of the human mind) is considered only one of the infinite points of view, performed by particles and heads that gauge information, move energy and constantly create the events of the universe. Each of those particles and heads create its own perspective and mind view, or mapping of the Universe to which they act-react accordingly.

Thus once we go beyond the simple mechanisms of measure and languages of the human mind we can widen our perception of a Universe made constantly by infinite points of view, time clocks that gauge information and scales of vital space in which those mind species host their bodies that move them.

Then we can understand a Universe, simpler, repetitive and yet richer in its creative capacities, whose general isomorphisms apply to every mind and species; each one a part made to the image and likeness of the whole.

It would seem impossible to understand the Universe with the limited tools of the human mind, but it is not.

The Universe is simple in its ultimate principles and structure. The main reason humans do not understand it, is not the complexity of its principles and organization, but the fact we are NOT objective beings, made to ‘comprehend’ but biological beings made to ‘want’ and ‘survive’.

So we want to feed and perceive, and reproduce and win the battle of existence and become the center of a Universe, which does not care about humans and this hurts our ego.

Thus in subtle and not so subtle ways mankind biases his understanding of reality to place himself ‘theoretically’ in the center, either through anthropomorphic religions, or sciences in which man is the only intelligence and our machines the only rod to measure reality and our mind, the only conscious experience of it all…

We creates tools of measure where our space size is the only space ‘continuum’ or scale of reality that matters, and our clocks of time are the single standardized time of the entire Universe, which must rule all its rhythms. We define life as only those organic systems made with carbon atoms as we are and we consider that the will, freedom, consciousness and perception of existence are properties that only apply to us, human beings, and our relatives, animal life.

 

It is with those subconscious traits of our subjective mind, which measures from its point of view and hence considers his nose bigger than Andromeda Galaxy, how man has approached knowledge and failed to grasp the simple, scary truth about the Universe:

‘Every mind is an infinitesimal point that maps out an image of the infinite Universe, it confuses with reality itself, thinking his point of view is the center of the Universe’.

And so we talk of a universal grammar, e<=>i, which also describes the syntax of most languages which are obviously the way minds map out in a synoptic manner the universe:

In mathematics we always write F(x) OPERANDI g(Y), and we find that we can reduce the function of x and the function of y to energy and information variables, and the operandi to one of the fundamental actions or events of the universe.

In colors we find 3 primary colors, and we relate red with energy, blue with information and green with a reproductive mixture of both. So in societies the elites that control the languages of social information tend to use blue flags, and the people that provide the working energy prefer red.

So do the energy genre, man with its lineal bodies who prefers red… And indeed there are also 3 genres, if we consider the gay sex a mixture of both.

Finally if we consider the 3rd fundamental language of mankind, words, Chomsky found its generative universal grammar to write:

Subject (the human, informative element), < verb (which describes actions) > object (the energy element submissive and controlled by the subject)

And further on, we can classify those 3 languages, as the spatial language, colors, the informative language, words, and mathematics which combines both, as geometry is a spatial language and arithmetic and algebra a sequential, temporal one.

And mathematics is the dominant language of science, because as a human writer put it, life is not about information but about actions. We all know that indeed, we like to act, not to gather information or lower ourselves to the mere sensations of energetic pleasure. And we will return to that when we explain how the universe and all its species follow a simple program of basic actions:

To feed on energy, max. e, to gauge information, Max.O, to reproduce, combining both, exo, and finally, to gather socially with similar exo entities.

We can even go further and comment on religion. Saint Augustine wrote a book called Trinitas, to explain the mystery of trinity, comparing it with many other ternary systems. And indeed, the mystique metaphor merely puts 3 elements in relationship, God, the subject, the mind of man the object it creates and the saint spirit, the verbal language which in religions is considered the language of creation, as physicists consider mathematics for the same role:

‘And God, (1st person), the Word, (2nd person), became (the mind of) Man, (3rd person), and inhabited among us.’ (Saint John, 1)

Of course, all those visions of the ternary game of existence are partial visions that we shall unify in this blog of general systems sciences. Since neither religion and his sacred language, the word, or science and its sacred language, mathematics, or art and its sacred language, images, which are the 3 manifestations of human languages in its purest forms, are ALL. Each just reflects part of the total properties of the Universe. As only the whole, the universe, has all its information about itself, in words of the Nobel prize, Mr. Haldane. And he was right.

This is the game of existence, the ‘syntax’ of Universe, which is the sum of all those 15 Dimensional beings, in its eternal life-death worldcycle motions.

The structure of that process of creation and destruction of beings is fractal.

That means the same isomorphisms ‘embedded’ on the Universal grammar of the highest order (iST Dimensional beings) are used to create any species of reality; and all its languages.

Thus we can reduce any human language that describes the game with its ‘syntactic equation’. Let us put 3 examples of those languages, verbal thought, mathematics and music.

As Chomsky and others discovered all verbal sentences have the structure of the Universal Grammar:

Subject (Information being – human) < Action-verb: Exi >Object (energy of the human being).

That is:

I(subject)< Exi (action) > E (Object).

All mathematical equations are of the form: X=Y, where normally, the functions represents an energy or informative function, or a ‘relative symmetry’ of those expressed between dimensions, which are transformed into each other, or any of the more complex equations of exchange of fluxes of energy and information between beings; while = the operandi explains that exchange.

So in physics, we describe most processes as actions of ‘energy’ and time.

Where time is related to information, since a clock ‘stores’ the information of the Universe in the frequency and form of tis cycles. So either we describe ‘time frequencies’ or its inverse function, T=1/ƒ, frequencies.

And so for example: E=Mc2, written in Planck’s notation as E=M(t), shows the fundamental equation of physics, an exchange or transformation of energy into ‘vortices of information’, masses and charges, which are ‘eddies’ of gravitational and electromagnetic forces.

While in particle physics its fundamental equation, Boson < => Fermion, describes also an exchange and transformation of energy particles (bosons) into informative ones (particles). On the other hand, the ‘3 families’ of mass (3 families of quarks) represent the 3 ‘scales’ of growing mass of those vortices. And so on and so on…

So a fundamental task of the work of this scientist has been to translate all the knowledge of all the jargons of all sciences to the simpler isomorphisms of the Game of 15 Dimensional existences, which is truly the ‘Unification Theory of science’, again not very difficult to understand but certainly far more complex and deep in meaning and enlightenment that any ‘God’s particle’ or ‘mere unification of forces’ (which in any case it is not possible, in the terms physicists search with its limited understanding of the dimensions of time and the scales of the Universe).

 

Non-AE LOGIC: COMMUNICATION IN TIME AND SPACE: SYMBIOSIS VS DARWINISM.

According to the 2 arrows of entropy and order, we define 2 opposite kind of Universal events: 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.

The Non-Aristotelian logic of time: the dual, universal event.

Evolution and Modern Physics introduced important changes in our understanding of space and time that we will take to its ultimate consequences in this chapter, using the postulates of Non-Euclidean geometry and non-Aristotelian, simultaneous logic to define all Quantic Spaces-Times events.

Regarding the sequential logic that orders events in time both, Einstein and quantic physicists realized that in the Universe, past, present and future forms co-existed together, gathering in simultaneous, ‘relative presents’. So the Aristotelian, sequential logic that makes A to cause B no longer holds. That is why Einstein affirmed that ‘the separation between past, present and future is an illusion’. A fact that we can easily explain now thanks to the co-existence of the 2 dual arrows:

– An arrow of creation of quantic information, or relative arrow of future information and life.

– And the opposite arrow of quantic entropy, of destruction of form or relative, energetic past.

Since both exist together in many different quantic states between an absolute future of maximum information and an absolute past of maximum energy, the duality of space-time explain the simultaneity of relative quantic past, present and future forms:

In a quantic world broken into multiple space-time beings, a relative past being is a being with less temporal information. And a relative future being is a more evolved being, with more ‘temporal information’, since information accumulates in time towards the future. Yet because time and space, information and energy are inverse functions (Max. T=Min. E and vice versa), it turns out that a being with more information has less energy and a being with more energy has less information. The result is that simpler, past, bigger spatial entities with less energy like your body are complementary with smaller, more informative, temporal, future beings like your Head. And both together, past x future, energy x information, space x time, create a relative, quantic, symbiotic field of space-time.

Hence we explain in quantic terms the biggest mystery that Physics and Relativity discovered a century ago: the co-existence of past, present and future forms. Till now it was impossible to explain, since as long as we accept a single, continuous Time-Space for the entire Universe past times, present times and future time beings were merged together into a single time World. Yet if we break the Universe in infinite space-times, different time regions can co-exist together as different pieces of a puzzle co-exist within the same ‘present space-time frame’.

And so in quantic time the co-existence of past and future forms is no longer a paradox, but the key to fusion Physics and Evolution, developing in the process a new kind of logic, Non-Aristotelian logic, that describes how the ‘present’ is created by simultaneous fluxes of time and space.

We call the Non-Aristotelian logic of Universal events, ‘i-logic’, because it is the logic of i-nformation and energy whose rules based in simultaneity and the duality of space-time arrows, (E<=>T), are different from those of the human mind, based in a simplified version, the sequential, Aristotelian, unicausal logic that considers a single arrow of time, (E>T). We use indistinctly the terms Non AE or illogic geometry, because those past and future entities are Fractal Organisms that exchange flows of energy and information in opposite directions (since the properties of energy and information are always inverse, albeit complementary when they come together simultaneously to create a new, present reality.)

Yet the Universe is ilogic, paradoxical=dual and simultaneous, as relative past and future forms come together creating fleeting, quantic presents. Those simultaneous encounters are possible because, both Non AE points have previously located each other through faster, informative languages, prior to those exchanges of energy and information. So when a predator attacks the victim and the victim simultaneously runs away, it is because they have seen each other. And both act in paradoxical opposite ways.

When a man makes love to a woman it is because previously they have known each other and both create a dual, action ‘merging’ their lineal penis and cyclical vagina, as they exchange complementary energy and information to reproduce and ‘create’ a 3rd being (a fact that casts some insightful views on Special Relativity).

The co-existence of future and past forms changes the laws of Aristotelian causality. A causes B has always meant that A was the past that happened first in time and hence B was the future that had its origin in A. Yet the idea that A sequentially creates B is false when A and B happen simultaneously. What is then the causality of the Universe between a relative future B and a relative past A that co-exist together? Einstein gave the answer in terms of continuity and now we can solve it for any quantic space-time system. He defined any event as ‘real’ and measurable only when it happened in simultaneity. That is, when the observer C measured in an instant of present, A and B together: A<ab>B. So to create a real form of present we need 2 fluxes of causality, one coming from a relative future or quantic form of information, and another coming from a relative past or energy form. And when a flux of energy and a flux of information converge, a relative present form of temporal energy is born.

That is why Einstein said: ‘the separation between past, present and future is an illusion’. The Universe is dialectic: A (the energetic, quantic past) and B (the informative future) create together C, the present. Which in quantic terms gives origin to the fundamental postulate of ‘Non-Aristotelian illogic’:

‘A present event is created when 2 relative fluxes of past energy and future information merge.’

Future information and past energy can transform into each other in each different time-space field region of the Universe because both are quantic. So each part of reality is made of little pieces of both species, mutating, fluctuating rhythmically or combining together into symbiotic systems and organisms of all kinds. If Einstein had considered the quantic nature of time/space he would have deduced the obvious consequences of simultaneity: the creation of those ‘present beings’ that merge informative and energetic regions. As the continuity error lingered for a century, science has been unable to explain the why of fundamental events created by that postulate. Since, the paradoxes that emerge from that dual nature of any cyclical action-re action process that combines energy and information are the key to understand the Universe.

Yet, they are difficult to grasp because our mind tends to be Aristotelian and Euclidean, observing only one side or arrow of reality. For example, we do not see at the same time both sides of a coin, yet only both sides create a coin. We do not see a temporal particle and its spatial wave together, but only both create a physical space-time field. We do not see the past and the future, but only together they create the present. Yet sometimes we see both elements together. So we see informative Heads and energy bodies together. We can perform 2 energetic/informative actions, walking and thinking at the same time, etc.

The human, biological perception of past, present and future.

Those quantic past, present and future forms are related to the human perception of past, present and future flows by the game of existence and extinction: Every quantic being of the Universe has a different ‘quantity of information’ that accumulates as time passes. So in terms of the total quantity of ‘temporal information’ a being has, we consider ‘future beings’ those beings which have more information, more ‘time’, and relative past beings, those beings with less ‘temporal information’. In biological terms we could talk of informative, future beings as more evolved beings, which have a better brain that acts-reacts faster to the environment and hence it has a higher probability of survival into ‘the future’.

If they become symbiotic to past energy beings as bodies and brains they create a simultaneous creative present; but sometimes, the fast, future form, becomes the predator that consumes the relative past, slower form, and then the past ‘becomes extinguished’ and the future survives.

Hence quantic space-time also explains the ‘biological meaning’ of future and past in terms of ‘future beings that survive’ Vs. ‘past beings that become extinct’. Thus in Quantic Spaces-Times ‘quantic future’, ‘evolved organisms’ and ‘survival, top predator’ species are synonymous, since evolved beings ‘create’ the future, surviving into that future. For example, mammals were more evolved, faster beings than reptiles and so they have survived into the future. Faster chips survive and slower machines are destroyed and become things of the past.

And so on. Thus, though past, present and relative future beings do co-exist together, they are still relative past and future beings, since their probabilities of survival in their future depends on their informative, temporal content. The human arrow of time that moves from an extinguished past to a growing future is the sum of all the quantic pieces of informative species that survive into the future and our mind puts together into a single continuous Universe…

 

The formalism of Non AE logic

According to duality, we can spatialize time using the spatial language of geometry. Then from the perspective of the 3 classic Euclidean dimensions of space, temporal information becomes perceived as a fluctuating height dimension proper of evolved beings . Yet inversely in this chapter we ‘temporalize’ space using the verbal languages and dimensions of time. Then spatial energy becomes, from the perspective of the 3 temporal dimensions, past, present and future, the dimension of ‘past’, while temporal information becomes the arrow of future, which merge together in the present space-time fields we observe. Thus the main feature of Non-Aristotelian logic is the existence of flows of future information and past energy that create simultaneous, real present space-times, formalized through the E<=>T, space-time field equation as:

 

Past=Energy < Present: actions of Temporal Energy > Future: Information

 

Thus, we can use the Quantic Spaces-Times equation to define space-time fields in terms of space and form as Fractal Organisms with 3 parts, an energetic, past, concave membrane, E, a future, convex region of information, T, and an intermediate, present region, <=>, that combines energy and information.

Or we can use the Quantic Spaces-Times equation to define in temporal, Non-Aristotelian logic events. Then that equation represents the 3 verbal, functional dimensions of time: past beings, with lesser information and more energy, (E); present beings that mix both forms, energy and information, (<=>) and future beings that have more information, (T). Since the arrow of life and evolution in the Universe increases the information of species, shaping 3 ages in time, youth, E, maturity, ExT and old age, T.

 

Order and disorder: creative, symbiotic presents Vs. extinctive, Darwinian transformation.

The fundamental duality of the Universe between energetic entropy and informative order creates 2 kind of relative, inverse, destructive or creative presents. Since when 2 forms find each other they might increase the ‘entropic disorder of the Universe’, treating each other as relative energy, as when a predator finds a victim and disorders it; or they might increase the order of the Universe, creating together a tighter more complex, symbiotic, complementary organism, with more TxE force.

Thus, the dual arrow of entropy Vs. order, which defines an action-re action cycle between 2 poles, has a fundamental reading in terms of quantic behavior, as those 2 relative forms of past and future might create a relative, quantic present, entering in a symbiotic, evolutionary, ordered, creative relationship or might cause a higher disorder and chaos through a Darwinian, energetic, destructive relationship. Then the being with moreTxE force, either the spatial, energetic being will dominate the relationship, transforming the information of the other being into energy; or the informative one, will dominate the relationship, transforming the energy of the other being into its own information:

– Spatial forces and fields are absorbed and become temporal particles; the vacuum space is combed by temporal gravitation; lineal, spatial movement turns into cyclical, temporal vortices; yang-energy becomes informative yin; the material, spatial world is mirrored by the informative languages that explain it; physical products are valued with informative prices; energy is shaped by information; the spatial Universe of pure energy born out of the big-bang evolves its form as time goes by; death, the end of the quantic time and information of a species feeds a new life that reforms the victim’s energy feeds and becomes transformed into cells of the predator.

And vice versa: Cyclical movement uncoils into lineal forces; Vishnu becomes Shiva; yin returns to yang; the desires of the energetic body dominate the mind; monetary information re=produces physical goods; an old man full of information dies and erases its form into pure energy; particles explode into ¥-radiation; languages guide human actions that create the physical reality.

– Or as an outcome of their complementary combination a new organic system is born in a creative, symbiotic event that increases the order of the Universe, reducing its spatial energy:

Particles associate with force fields to create atoms; informative brains and energy bodies grow into organisms; energy and information networks put together systems; men and women fusion into a couple; space combed by time becomes a field of space-time and the spatial Universe structures itself thanks to the logic, informative laws of quantic space/time, the informative ‘mind’ that rule it.

Thus each science has a syntactic structure that represents the present. For example, a living organism is an:

 

Energy Body (Es) <joined by a neck to an > Informative Head (Ti).

 

So in Biology, the Quantic Spaces-Times equation, E<=>T, becomes also the fundamental formalism that expresses the fact that any Living System is composed of a number of cellular quanta of Spatial energy (ne) and neurons of temporal information, related by a series of physiological networks (<=>), that carry either energy (digestive networks), information (nervous networks) or a combination of both (blood networks). In this manner we translate the E<=>T, field equation into biology.

In philosophy the best expressions of the Universal Syntax are the Taoist and Hegelian dualities:

 

Thesis <Synthesis> Antithesis.

Yin <Yinyang >Yang.

 

In Physics the best expression of the Universal syntax is the Fermion-Boson symmetry:

 

Non-AE fermion point < Bosonic Force of temporal energy > Non-AE fermion point

 

 

 

 

 

The key to understand energy and information is precisely the understanding of how two similar forms communicate energy and information between them by ’emitting’ usually a wave or particle of a lower scale, i-1 (spatial cardinal scale), where it will move and be absorbed by another similar particle evolving the i-1 system into a collapsed cell of the i-particle that receives the communication. Thus for example: 

i-Fermion < i-1 Boson with energy and information > i-Fermion 

Is the fundamental equation of quantum physics which implies a transfer of energy and information between two i-fermions by means of a boson of a lower scale, which will collapse when reaching the i-fermion.

In our mechanical scale, we do produce Energy which is stored in a larger, formal system. And the system is destroyed and lowered in scale:

In the case of E=Mc2, the energy stored in the i+n mass becomes radiation, lowering its scale. In most systems, energy is released by the ‘destruction’ of the system that stores it back into lower scales of organization, as an entropic, death process.

In most of those cases, then energy, is upgraded of scale, as it becomes ‘momentum’, which is its ‘derivative’ respect to speed, 1/mv²∂v=mv= momentum which is transferred back to the other system as motion.

And this connects with other fundamental themes of iST: the understanding of fundamental operandi of mathematics such as derivatives which is normally an emergence of an STi-1 scale upwards, to an scale with lesser form and more motion. As in the 3 derivatives of ‘space’ (form) into speed (motion) into acceleration (maximal motion) and vice versa, the integration of motion-energy into form.

All those fascinating relationships between mathematical operandi, classic magnitudes of science and the laws of i-planes of cyclical time, are the ultimate whys of the Universe, and bring us back again to our narrative of Leibniz, the discover of calculus.

What is information? The inverse of energy, in as much as it is a process that transfers mostly form, and so tends to upgrade from scales, as when genes imprint a human being of the upper scale, even if often the procedure of transfer of energy and information in combined waves is the same. Yet when information is transferred, the wave does loose energy but maintains the information without change, and we can classify waves by their different carrying of energy and information.

Further on, form is not perceived, time cycles do NOT communicate unless a reproductive wave of information appears. Hence the 3 concepts are intimately related.

Now, what we call absolute form or absolute time are the sum of all the cycles of time and informations of the Universe.

And this sum of all cyclical forms-in-action, in-form-ations, which our mind perceives as cycles of clock-time, creates relational, ‘fractal’ time, also defined first by Leibniz, one of the fathers of the 4th paradigm. Energy without motion or form without energy is not perceivable. Thus, systems to exist need a minimal quantity of both or they cease to exist – they die. Or as Taoist, the closest, classic philosophy to this book put it: ‘All yin-information has a drop of yang-Energy; all Yang has a drop of yin’.

Further on, because all systems respond to the same laws, we can recognize the shapes of a network dominant in energy by its form that will be lineal, planar, extended in space, as the line is the shortest distance between two points; hence the shape with more motion. And we can recognize the shapes of information because they are smaller in space, broken and cyclical, as the cycle or sphere is the shape that stores more form in lesser space; hence the perfect form of information.

So DNA nuclei, particles, heads and coins of money, made of gold, the best informative atom of the Universe, are cyclical and small. While fields of forces, moving bodies and weapons, made of iron, the most energetic atom of the Universe, are lineal and big. Finally, real physical, biological and mechanical systems are those who transform back and forth energy and information, between their two poles: E<=>O.

It follows also that cyclical information, frequency and time cycles are related. On the other side, expansive energy, motion and space, which stores energy in the vacuum are also related. So energy is fractal space and information fractal time – facts that will allow to fusion the jargon of many sciences in this volume of the series dedicated to the detailed description of physical systems and the 3rd volume dedicated to biological and sociological systems (the superorganisms of history and economics).

Thus the blog  analyses the ‘3’ BUILDING STRUCTURE OF REALITY’, Space, Time and Planes of existence.

Since reality STARTS as SIMPLE SPACE, WHICH BECOME CYCLES OF TIMES (lineal strings and cyclical strings of time in the lowest possible scale) and then grows in complexity through i-planes of scientific species, guided by the metrics of the 5th dimension, which can be seen in structural terms, in fixed space as 0±4=SxT or in dynamic terms, in terms of the actions of its organisms that try to maximize its existence, increasing its energy its information, reproducing and evolving socially, ∆SeXTo.

And so guided by those laws systems grow into Societies and super organisms, through the planes of the Universe, all of them following 3 sets of laws derived from those metrics, and its dimensional elements, space time and planes of existence:  The isomorphism of its topological spatial organic parts, its time ages and its actions across those multiple planes. 

To do though a better detailed analysis of those planes, we subdivide the 3 main isomorphisms of spatial topologies time ages and plane actions in 10 isomorphisms. And then study with them all the planes of reality, from Forces to Atoms and Molecules (which form the first ‘super organism’, the atom), through states of matter, geological formations and celestial bodies (which form the 2nd super organism, a cosmic body), through stars, galaxies and Universes, (which form the 3rd fundamental super organism of physical matter, the galaxy), and its ‘biological varieties.

ART GRAMMAR – THE SCALES, SPACE AND TIME DIMENSIONS OF ART FORMS.

Finally the Universal Syntax, also applies to those ‘creations’ of the human mind, which we call artistic forms. Of them, the one that represents closer the game of existence as Schopenhauer understood is Music, a ‘temporal art’ which he deemed to express the ‘will of the Universe’.

In that regard, we can also qualify human scientific, artistic or philosophical analysis with such simple labels.
I.e. General Relativity would be a D4 (Sx, Sy, Sz, Tpr) analysis of the Universe.

Genetics but also Plato’s theory of the cave would be a D2 (I, 0±1) of the Universe.

Evolution would be a D6 (Sx, Sy, Sz, E<=>To) theory.

The Trinity Mystery would be a D3 (∑Ei-1<=> To), analysis, and Beethoven’s 9 symphony, a D9 (Sx,y,z; E<=>To, 0±3) analysis.

Now the reader would be surprised that we qualify a Philosophical theory (Plato’s), a Biological one, a religious and a work of art with the same dimensional analysis. This is no yet evident to the reader but those specific cases – evolution, Beethoven’s symphonies, the trinity and Plato’s theory of forms, have been analyzed in other papers, according to the specific ‘translation’ of those 9 dimensions to the different ‘worlds’ and ‘languages’ and ‘species’ of philosophy, physics, biology, music and religion.

And this leads us to a needed next step in our understanding of the complexity of the Universe:

The Universe is a fractal mirror of mental ‘monads’, which communicate with others and perceive the Universe with a limited number of dimensions, with whom they engage in action-reaction processes that take place only in the restricted Universe they perceive.

So the concept of dimension becomes even more loose as ‘dimensions of information’ which can be in any language or space.

Let us consider the example of music:

Music can be studied in its simplest form, as an art of time, with the dimensions of beat, or rhythm, given by a frequency, ƒ=1/T, inverse of duration, thus.

Rhythm, the simplest ‘beat’ music can be defined as a D1(Tpr), analysis.

But we can also consider a more detailed analysis of those beats as they distribute through the ‘main scale’ the minor-major, 10 tonal scale. Thus including a ‘dimension’ of social complexity, whereas each tone of the scale represents a ‘unit’ of the 5D scale from ‘Max. E=Bass sound’ to ‘Max.O=Treble sound’, the E-I parameters or ‘past-future’ dimensions of time perception in music.

This D3(E,T,I), study of music is the ‘basic’ notation of the ‘human mind’ in music, the ‘staff’ of composition.

But this ‘single melodic’ narration, of music ‘beats’ across its modulations of tone, between the ‘bass’ and the ‘treble’ ‘finalis’ of the human scale which represent the ‘subjective’ emotional motion of a human ‘monad’ across an ‘interpretation of the game of temporal existence, can be analyzed further both by studying in detail those 3 dimensions, of T=Beat, E=Bass and I=Treble sounds across scales

How this musical melody affects the emotions of man, was better described by Schopenhauer which affirmed that music was narrative of the will of the Universe, and as such an essential language, despite or precisely because it was not ideographic, image-related. The melody in time across the motions of the staff, of the western music however has added dimensions of space, in the orchestra, and its diversities of sound, separated by its timbre. Harmony thus become the ‘dimensions of simultaneous’ space of a musical melody in time, and a proper study of the melodies and harmonies of the score across its 3 scales of music, could encompass the whole of western music, in a D9 particular linguistic narrative of the different isomorphisms of symmetry, harmony, melody, time frequency, wave curves and ages of the whole composition.

We could in that sense, as we show the development of each life-cycle of existence of a iST Dimensional being, physical, biological or linguistic, how their melodies (the changes in its time dimensions, harmonies, changes in its space dimensions, and scales, changes in its informative dimensions, produce a certain ‘being’ worldcycle – the unit in time of the iSTD world.

And indeed, we can consider that Music has in its highest expressions (classic music):

– The dimensions of space, which are given by harmony.

– The dimensions of time, which are given by melody.

– The scalar dimensions, which are given by its scales.

And we can as in all other disciplines and ‘arts of creation’ – as we could define, God, the Mind of the Universe, as an artist in iST Dimensions; go into as much detail as we want, studying music or a biological or physical or social organism, with those isomorphisms.

For example, western music uses a diatonic minor and major scale, which put together, have 10 notes.

Now those notes are divided into whole note intervals divided by ‘sharp-flat’ notes, which all together describe precisely a life-death time cycle:

Birth in minor key, first sharp-flat divide, youth, divide, maturity, divide, old age and finalis.

And a good composer will play that scale and notes to provoke a series of ‘emotions’ as it describes a whole life-death cycle, through melody.

On the other hand the wider range of scales in music is given by the Piano, which encompasses 3 whole ‘scales’, and it is the rule of music that when we finish a scale, the ‘next note’ of the higher scale sounds exactly as the equivalent note of the lower scale (a do in lower or higher pitch sounds equally in harmony), as we have ‘emerged’ into a new scale.

Finally there are 3 types of instruments, of growing complexity, the rhythmic, percussion instruments, the melodic, wind instruments dominant in melody, and the strings, dominant in harmony.

So we start to find with this simple introduction to musical theory many of the ‘symmetries’ between the 3 ‘dimensions’ of each of the 3 ‘space, time and scale’ elements of reality.

The duality of internal vs. external control of the game.

Now we have made an external description of the iST Dimensions of existence and its beings. But to fully grasp the Universe we must consider the inner description of those beings. Why they move and act and grow through social scales, and live and die? It is all automatic, or do they have a will that moves them to exist?

This comes to a single question: there is perception in the informative function on the ‘height dimension’ of the being, which has a program of action that moves him to enact the game? Even if he ignores the outcome of it? And How then, the ‘self-ish actions’ of the Individual brings the creation of the game?

As all systems follow a simple will, expressed in that equation: ∑E<=>To, they try to become social wholes (∑), they try to feed on energy (E), they try to absorb information (To) and <=>, they try to reproduce combining both.

The reader interested in details, either isomorphisms, or species, or life-death cycles or spatial organic morphologies, or scales, or dimensions of any science or art, ‘fractal games’ of the Universal Game of 15 Dimensional beings, made to its image and likeness, can read the available literature spread all over the web, in sites, papers, books, e-books, films and other kaleidoscopic visions, coming from the same ‘equation of God’, the mind of the Universe, produced during the past 30 years strangely enough all of them, by this ‘author’, fractal mind made to its image and likeness.

This mind of man that creates a mapping of the scanty proportion of the Universe it perceives and then reflects with synoptic mathematical, visual and verbal languages in its diminutive brain, is just really one of the infinite points of view of the Universe that gauge synoptic information and act-react to it in the same fashion. But we cannot perceive or care for all those other minds. So we confuse reality with our mind and reduce the Universe to what our mind sees, even think that our synoptic languages, numbers and words are ‘the substance’ and nature of reality (scientific Platonism, specially endemic among physicists or/ and wor(l)d religions for whom God ‘is’ the word – Islam, Christianity).

We are nothing in that Universe, not only in terms of intelligence, role or raw power, but also in terms of perception and fitness to survive on it. Still if you can get away from your ego, your mind, your instincts and emotions, all is there to perceive it in awe with the humble realization that we are just a part made to the image and likeness of the whole.

Then if you are humble enough to forget your ego and your human condition you might instead wonder, admire and worship the astounding perfection of the Universal Game.

MATHEMATICAL LANGUAGES OF SPACE

 The formalism of Dual systems of energy and information

All those facts must be formalized with new tools of mathematics and Logic. The mathematics of a fractal, organic, self-generating Universe are Non-Euclidean geometries whose 5 postulates we complete going beyond the work of Riemann, who defined a point with ‘volume’ through which many parallels can cross. Hence a point must be a fractal that grows in size as we come closer to it, allowing more parallels to go through. Such fractal point with breadth, with form and motion, with energy, becomes the new unit (new 1st postulate), of Fractal, Non-Euclidean mathematics, (of which all other geometries are simplifications), in which lines are waves (as points have motion and form) and planes are social networks.

A fractal point is the ‘organic unit’ of a certain i-scale of the Universe that from a higher plane of existence appears as an Euclidean point without breadth, but as we can closer it becomes bigger and shows its form and motion. So we humans see in the limit of our perception, quarks and electrons as fractal points without parts and in the galactic realm we see with naked eyes, stars and galaxies as fractal points without parts; but as we come closer those fractal points should acquire volume. And all of them will follow the Mathematical Laws of Fractal, non-Euclidean geometry.

In logic we also have to upgrade Aristotelian Logic to understand a Universe with two arrows of time, one of energy and other of information, of relative past and future, which combine to create the dominant arrow of ‘present=existence’. We call this logic, which adds the arrow of information, i-logic. It explains the meaning of past, present and future, the 3 dimensions of time, and how they interact to form reality. Two are the essential equations of the 3 dimensions of time: past->present ->future, which gives us a diachronic analysis of reality, through the 3 ages of time. And Past (energy system) x Future (informative system) = Present organism, which defines the systems we perceive in space.

Thus in this 2nd lesson on a General Systems theory of systems of spatial energy and information, we shall consider the most important laws of reality – the laws that generate temporal information (laws of logic) and the laws that generate spatial energy (mathematical laws), upgrading the previous paradigm of a continuous single space-time and a single, causal logic defined by the arrow of entropy, to introduce the existence of multiple, fractal space-times and two arrows of logic, energy that evolves from past to future into information and vice versa.

What you see is just a slice of spatial energy that the logic of time evolves into the future. And so philosophers of science have always wondered if there was a plan of creation that all systems followed.

Physics was the first science to find that plan, albeit in its simplest laws that apply only to the most obvious motions of the future – translation in space. Biology thanks to the work of Darwin found the next type of laws, those that define time=change in the morphology of beings. The application of those laws to history and economics by Marx, Kondratieff and Spengler however was halted by the fact that humans don’t want to know their own program.

What the 4th paradigm brings to all those insights to the logic of creation is a super-structure that includes them all and signals an arrow of time dominant in all systems: the arrow of social evolution of ‘points or numbers’, which are herds and groups of self-similar beings into networks and complex systems.

This arrow of social evolution, which applies in all scales of reality from particles that become atoms that become molecules, cells, organisms, societies, planets, stars, galaxies and Universes could also be interpreted in mystique terms as the ‘mind of the Universe’, or ‘the game of existence’, God, the ‘seer and creator of times’ in the classic mysticism of Saint Augustine, Aristotle and Buddhism. Since indeed the logic of creation is a game of two arrows of time, energy and information, with many properties similar to those described by Taoism, Buddhism and Eastern philosophies.

What those philosophies lacked was the proper mathematical formalism, which required the definition of a fractal point, the completion of the 5 postulates of Non-Euclidean Geometry and the development of the laws that create networks and systems, and organize them into scales of reality that follow self-similar goals. This formalism and the discovery of the feed-back, fractal, generator equation of spaces-times, the Saint Grail of the 4th paradigm is what I found and exposed in a series of Congresses of System sciences in the last decade and now I bring to you in this pdf on the ‘Mind of God’, and the 3 next lesson on its application to its ‘details’, the astrophysical, biological and sociological species of the Universe.

However, the Mind of God, the Logic of creation is far more complex than the one monist, mechanist physicists have resolved. So you will have to sharpen your mind to put it to Its level. But if you do so with patience you will upgrade your perception of reality to a level in which the fog of the senses will no longer hide the forest.

Thus, the 4th paradigm requires a new formalism to describe the mathematical, geometrical and logical, causal processes that create the networks of reality. All what you see can be reduced to numbers, because numbers are ‘social groups’. In the 3rd paradigm of metric measure those social groups were described merely in its external properties. The 4th paradigm analyses its internal, topological structures, as societies of Non-Euclidean Points, which become networks of self-similar beings. 4 is not only number four, but a series of topologies created with 4 points; and so it follows that the more points we have the more complex a network becomes. Can we reduce all those topologies of network spaces to a few laws and structures as the previous Euclidean Geometry did?

Yes, we can, but for that we must complete the work started by Riemann and Lobachevski, who discovered the 5th postulate of Non-Euclidean geometry and affirm that through a point infinite parallels could cross. For a century and a half, no mathematician seemed to have realized that if the 5th postulate

is changed, we had to adapt the other 4 postulates to the new definition of a ‘point with breadth’, through which parallels cross. This point is the fractal point, which grows in size and scale as we come closer to it. The Universe is indeed absolutely relative because ‘each point is a world in itself’ (Leibniz). And yet the restrictions of topology that allow only 3 types of topological forms in a 4-dimensional Universe, the informative, toroid topology, the energetic, planer sphere, and the cyclical reproductive hyperbolic, reduces all the internal parts of a fractal point to 3 functions or arrows of time, energy, information and reproduction.

Those 3 functions become the 3 functions of specialized networks of points, which construct all the systems of reality, from your organism, made of 3 physiological networks (the energetic, digestive network, the reproductive, blood network and the informative nervous network), to the galaxy, organized by a network of electromagnetic energy, gravitational information, and a series of herds of stars, non-Euclidean points that reproduce the atoms of the galaxy.

This simple first elements of reality, points with volume, that exchange energy and information, creating waves no longer lines (2nd postulate), according to a set of laws based in their self-similarity, no longer equality (3rdpostulate), and evolve further into topological networks (no longer planes, 4th postulate), makes mathematics again the language of the Universe, but a language with more volume, an organic language able to describe the logic of creation of all systems of the Universe – one in which there are infinite fractal, organic networks intersecting and creating when we put them together the puzzle of reality that the simpler, 3rd paradigm called the space-time continuum.

 The nature of mathematics and logic.

The first concepts and ideas of mankind tend to be simple, intuitive and truth. The forest is clear and the details of the trees do not hide the whole. So the oldest philosophy of the Universe, that of the Chinese agricultural Neolithic about a world made of yin=information and yang=energy, which combined to recreate the infinite ‘waves of existences’ (Ch’ang), is still the most accurate philosophy of reality, now forgotten with the arrival of so many scientific details that the overview of the forest is lost.

The same happens with the understanding of time, which all earlier civilizations considered cyclical and causal, synonymous of change; and so they study all different types of change, establishing repetitive rhythms of change and causal relationships, creating the science of Logic (Aristotle).

The Greeks also defined mathematics as the language of space and so Geometry became the foundational science of mathematics; and it remained so till the XVII century, to the point that Al-Jorizim, the founder of modern mathematics (Algebra and Algorithms are words derived from his names and books, translated by Middle Age Spanish mathematicians and then spread during the renaissance to Europe), proved all its quadratic theorems with geometrical methods.

Mathematics is defined in encyclopaedias as the science of sequential numbers (algebra) and static space (geometry). Till the XIX century, the science of sequential numbers or ‘mathematics of time’ used only Aristotelian Causality with its single time arrow to order them. On the other hand, the ‘mathematics of space’ considered only a lineal, continuum space defined by Euclid. Both sciences were fusioned by Descartes (analytic geometry) with his Cartesian Plane; and we can thereafter talk of mathematics of spacetime, albeit in its simplest conception: a single, static space, and a lineal, unicausal time.

It would be latter in the XIX and XX centuries (with the exception of the insights of Leibniz1), thanks to the work of Frege, Boole, Riemann, Einstein, Poincare, Cantor, Bourbaki, Mandelbrot1 and Computers, which this work advances a step further, when Space and Time – hence Logic and Geometry – were first mixed, but without a full formalism that made possible to extract all the laws of spacetime and grasp in depth the meaning of those languages, due to the limits of the Cartesian single space-time plane.

A theory of multiple spaces-times thus has to refound the key concepts of mathematics, the plane, which now is a multiple plane in which each point creates its own frame of reference, interacting with other points and planes through exchanges of energy=motion and form that re-establishes the balances between their distances and topographies; and the number is now a network of self-similar points that have at least a formal bidimensionality. Mathematics includes several sciences in one: the science of numbers can be stretched to consider the science of networks as each number is a point of a network with a geometrical form. Numbers and geometry are thus essential sides of the same coin. On the other hand geometry is mainly topology, related to causal transformations of a complementary networks of energy and form, whose ‘numerical’ cells go through growths and extinctions through life, described with differential equations. Those equations thus can be reduced to cases of the generator equation, Se<=>Ti, which in this manner resumes all other differential equations. And indeed, when we use equations to explain repetitive events of nature we are normally mapping out an exchange or transformation of energy into information, which in a generic way is represented by the exi function.

Thus topological networks, differential equations that map out the life/death cycle of an event with its growth and diminutions of energy and information, exchanges of energy and form between networks and membranes and causal chains that repeat those events till creating very complex systems, are the key mathematical operations of 2 sciences, logic and mathematics, in which the most general laws of networks are written. Those Mathematics of multiple space-times have illustrious precedents:

In the XIX and XX century mathematicians developed theories of multiple spaces and defined spaces with motion (Klein), and spaces as networks of self-similar points (Riemann) but maintained 4 of the 5 postulates of Euclid, the single Cartesian spacetime continuum and a single causal arrow of lineal time in its theory of numbers. Thus a theory of multiple space-time arrows requires the evolution of the science of space (geometry), completing the 5 postulates of Non-Euclidean Geometry and also the evolution of the science of temporal, sequential numbers, expanding its laws of causality. This was partially done with the use of the Complex Plane, since real numbers roughly correspond to the properties of continuous energy and complex numbers to the property of discontinuous, informative time. But its dual nature as an expression of the different properties of space and time has never been fully understood even if Physicists use the Complex plane in modern physics.

In that regard there are two possible representations in a plane of complex, informative numbers:

– They could be placed in the inverse, negative side of the graph of Cartesian coordinates as the arrow of information – to better represent the duality of energy and form (O<=>E). Then many results obtained with complex numbers become intuitive, as it is the case of the metric of Special relativity, where the time factor has a negative side – c2t2 meaning indeed that time-information contract space and ‘rests’ to the positive arrow of Einstein’s equations.

– Or they can be placed, as it is customary in the perpendicular Y dimension. Since a dimension of a mathematical plane becomes a sequential order of numbers, then the Complex plane becomes a bidimensional mathematical representation of the 2 simplex arrows of time, energy and form; while a 3D complex plane represents 3 time arrows where exi=z represents the reproductive arrow.

Finally a fractal, multiple space-time built with a series of complex planes (a task started by Riemann with his description of polynomials as a series of planes of space, stacked one after another), is the appropriate form of defining the 4th arrow of time.

From a philosophical perspective the study of multiple sequential time (algebra of Multiple Spaces-Times) and multiple, fractal spaces (5 non-E postulates) improves the accuracy of mathematics as an image of the reality of multiple space-times and explains its ultimate meaning, as the science of space (geometry) and time (numbers): Space is mathematical, geometrical; time is logical, sequential, numerical and the conjunction of both is organic; reason why complexity and system sciences, who observe the Universe from an organic perspective are the sciences of sciences.

We cannot treat all the aspects of complex mathematics in this introduction. We shall therefore focus on. its 2 key elements: the geometry of numbers with form and its postulates that describe how the 4 arrows or wills of time construct networks of fractal points and the algebra of the generator equation, which describes that geometrical construction from an analytical, numerical, differential perspective.

Recap: Geometry is the language of spatial form; Logic is the language of time events. The algebra of the generator equation of space-time cycles and the non-Euclidean geometry of fractal points fusions both creating a model of multiple, sequential dimensions of numbers and multiple planes of space closer to a description of reality and its organic systems.  This is done by resolving the 5 non-Euclidean postulates of Geometry, which describe knots of time arrows as points, and by observing the self-similarity of mathematical equations, which describe groups of knots of time arrows as numbers and the equations of Multiple Spaces-Times derived of the Generator equation of the Universe or Principle of conservation of energy and information. Thus, the 4th paradigm upgrades the postulates of Non-Euclidean Geometry and the foundation of Logic to include the causal relationships between time arrows and explain better a universe of multiple spaces and a logic to of Multiple Time cycles and arrows of time cycles.

 

 

LOGIC LANGUAGES OF TIME  

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We describe a carrot with images made by human painters or machines, with numbers, with smells or touching it as a worm does. But only the carrot/being has all the truth and information there is on itself. Any sense or informative language gives us partial information on the species it analyses, its cycles of time and vital space; since all species perceive the Universe through the intermediate syntax of a language. Thus, to evolve human knowledge we improve the syntax of the verbal, temporal and mathematical, spatial, languages we use to describe the Universe.

Time arrows are not new. Its discovery can be traced back to the work of Eastern and Greek philosophers (Lao Tzu, Buddha, Plato, Aristotle), which conceived a Universe (eastern philosophy1) made of two Time Arrows, Entropy and form that combined in reproductive acts, in which time was synonymous of motion (Aristotle’s definition), and motion was proof of organicism (‘when things move they will be alive’ Aristotle).

Yet the ancients failed to formalize properly those Time Arrows. In the West, perhaps due to an excess of detail and the desire to prove all facts of science as dogmas without possible error, the choice has been always for simpler models of reality, even if they were inexact, in order to facilitate calculus and axiomatic proof. Indeed, monism by limiting the study of Time Arrows to the easiest of them all – continuous, energetic, ‘spatial’, evident events – seems more truth, but it arises from a false, limiting postulate. How this has been solved in western science is clear: all sciences have postulates without proof which are selected a priori, but are by no means certain -only simplifications of the whole truths and causes of reality.

This ‘righteous’ mode of dealing with science proper of the Western psyche explains why from Aristotle to quantum physicists a single arrow of causality is preferred: monism, the belief in a single time arrow of Entropy seems truth because it is very simple; but the postulate of a single arrow is false. So the truths acquired with such simple ‘camera’ focused on reality are limited by the syntax of the mathematical and logic languages we use to see reality. Euclidean geometry seems truth because it ‘forgets’ all the inner content of information of a point, but it has been proved ad nauseam wrong.

Aristotelian logic with a single cause seems truth, but it is indeed like a camera, which only works in black and white. What Multiple Spaces-Times Theory offers is a camera with all the colors of reality, by evolving the time/logic and spatial geometry we use to mirror the data of the Universe. Thus what this work tries to do is to upgrade the languages of the mind, the a priori categories4 where the data of science must be fit to obtain theoretical ‘images’ that make sense. Truth in that regard is product of both, the information we obtain and the syntax in which we fit that information.

This chapter will be dedicated to evolve that syntax and provide mankind with a better mirror/camera in which fit information. This is ultimately as far as humans can go in its search of truth. Since only the Universe has all the information in itself, the absolute truth, truth in human terms will be always the product of the best linguistic syntax, the best logic and mathematical mirrors, the best camera of the mind, and the best data, the biggest quantity of experimental facts fitted in that mirror.

Let us consider what kind of landscapes those 2 languages, spatial mathematics and temporal logic, see, and what escapes their vision within the total information of reality.

Unfortunately, it is impossible to define with the limited knowledge of Euclidean Geometry and Aristotelian logic developed by the Greeks, the formalisms of a dual Universe. We need a new logic and a more complex geometry, better mind tools that have been developed only at the end of the XX century. In the East, this lack of a rigorous formulation of logic and geometry prevented Chinese and Indian philosophers – aware of the existence of multiple arrows – to explore the complex geometries and multiple logic Arrows, which were explained instead in mystique texts with metaphors and philosophical parables. So while the west lost ‘meaning’ for precision, the east understood the ‘game of existence’ but it did not resolve the details of the ‘thoughts of god’. Since in essence, all what you see is a manifestation of the game of ‘exi=stence’ and its limits, which we could call the game of extinction. Indeed, ‘reality’ is a simple game in which beings ‘appear’ and become knots of Time Arrows and then dissolve, unknot their form and disappear. And this happens to everything, from galaxies to atoms, with self-similar patterns caused by the common nature of all those forms. So the big question, no longer asked by western science, which merely collects machine-enhanced pictures of reality, is to explain the rules of the game of existence and extinction, which can be summarized as follows: All what exists are complementary systems that reproduce Entropy and information (fields/ particles, body/ heads), made of networks of self-similar ‘entities’, which as such can be studied with numbers, since a number is precisely a collection of entities so equal that we do not need to distinguish them as pears or cars but merely say ‘3’. Numbers, thus by the mere fact of existence means that the Universe has social properties, makes herds, waves and organisms. And so numbers are an excellent language to explain the properties of the 4th arrow of time, organic evolution.

Those numbers however exist in ‘space’ creating ‘geometries’, some of which are better than others to enhance the chances of existence, since they allow better absorption of information (the point) or Entropy (the triangle, whose lineal, structural strength and single form – you cannot join 3 points except forming a triangle – fits this role), or are fit to reproduce (the couple or 2, which can easily combine its code) or are perfect units for social evolution (the 4, which is the first number with several possible join configurations, the cross, the quadrangle, the ‘zigzag’ snake, able to perform different functions). This very simple example of ‘organic geometry’, which shows the relationship between the 4 first numbers and the 4 main arrows of time, might seem ‘magic’ to dogmatic, abstract mathematicians, as it is indeed related to earlier Pythagorean schools both in Greece and China3.

What modern System Sciences has done is to merge the ‘right intuitions’ of the East with the western tradition of exhaustive analysis, under the experimental method. And so the eastern intuitions about e/i geometries can be tested with experimental proofs of the geometrical configuration of stable atoms, which indeed are always more stable when they have a number of particles, multiple of 4, or in crystallography, in which only those configurations that follow the geometrical properties that enhance the 4 arrows of an atom exist in the Universe, as we have shown in our work on chemical compounds4. Since those common isomorphisms of Multiple Spaces-Times apply to all the scales of reality.

The first conclusion of this initial analysis of ‘Time-space’ geometry is clear: mathematics is one of the two languages of ‘god’, the mind of the Universe, because it is basically the language that explains the behavior and paths traced by the Time Arrows of its entities. Yet mathematics is not the only language of reality because it is not adequate to show the logic, causal chains of those arrows. And so we need a second language, logic, and again we need to evolve the present state of logic – Aristotelian unicausality – to define the ‘temporal’ properties of reality. Thus the formalism of Multiple Spaces-Times tries to evolve the logic and geometry of the west, departing from the philosophical concepts of the East, following in the steps of Spinoza, Leibniz and the masters of evolutionary and organic theories of the Universe (Darwin, Butler, Spencer, Spengler, Bertalanffy), which Duality, Complexity, System Sciences, Fractal and Non-Euclidean mathematics are completing now.

The key to grasp the scientific description of the ‘game of existence’ is to evolve our understanding of the 2 ‘languages’ in which existence in Time-space is perceived, the main language of space, geometry, and the main language of time, causal logic. Since classic Geometry is used only to describe fixed forms of space without taking into account its motions in time.

There are however 2 new types of geometry, Non-Euclidean and fractal geometry, which include the properties of Time-space described here – its motions, discontinuities and structure in multiple layers of ‘fractal, self-similar forms’ that create a complex scale of discontinuous space-times. Thus, what we do is to fusion and complete those branches of modern mathematics, in order to have the proper tools to study Time Arrows in space. Thus we describe a Universe made of 2 types of formal motions, Entropy and information, which create the topological geometries of reproductive bodies/fields and informative particles/heads, which in turn shape the entities of reality. Because those topologies have motion, they exist in time, leaving behind ‘traces’ in space. And because those motions have a causal purpose, they have an order and synchronicity that chains those traces into complex forms.

Recap: The evolution of knowledge requires not only the gathering of experimental information about the species of the Universe but a better linguistic mirror of logical and mathematical languages to achieve a higher truth: a more accurate image of reality.

How can we explain a complex world of intertwined geometrical and logical patterns with both mathematical and logic languages at the same time? Thanks to the use of 2 new forms of geometry which mimic the properties of Time-space: Non-Euclidean Geometries, which have motion and fractal equations, which are self-reproductive, cyclical systems that repeat and self-organize complex networks of ‘numbers’ – groups of self-similar forms.

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