**SUMMARY.**

I. Asy♣metric= Antisy♠metric ± Sy♥metric± Disy♦metric

II. A(nti)syMetric of scale, topology, time ages

III. A(nti)syMetric on languages: 4th non-Æ postulate. Existential Algebra.

IV. A(nti)syMetric<etric in physics systems: Creation, destruction and conservation laws.

V. A(nti)syMetric in biologic systems: Evolutionary topology & Palingenesis: Travel between Space-Time Planes.

VI. A(nti)syMetric in social systems: Class structure, social justice and r=evolution.

The metric of the 5 Dimotions of time§paces differ topo-logically, as its topology and logic structure is different. The element which seems more difficult to introduce within it, is its ‘behavior’, as science tries to create an illusion of abstract neutrality with no ‘survival, emotional grades to it’. But behavior is ruled by the topology of similarity, which might be considered spiritually as a force of love between equal beings, geometrically as a degree of congruence and biologically as an strategy of survival, and logically as an aesthetically measure…

We shall use 3 terms to relate the 3 forms in which an ‘amorphous’ asymmetric system acquires a given topological symmetry with clear functions, and for fun we use the French card to ‘shuffle’ the 4 suits, which we place between the ‘defining’ first letters and the metric, which is different for each ‘suit’, and as the 3 metric that are ‘meaningful’ in forma and function come from an ‘asymmetric’ whole we write then.

- Asy♣metric: ≤≥, The club for asymmetric systems from where the ternary possible paths of the future come:
- Antisy♠metric: > , <, The pikes, a warrior instrument for anti-symmetric, perpendicular, darwinian events and forms.
- Sy♥metric: ≈: the hearts->love symbol for the parallel symmetry which brings things together through a common language of communication.
- Disy♦metric systems: ≥, the mirror, complementary symmetry that is the origin of gender differentiation and allows the processes of reproduction.

So those 4 functional, formal operandi which we also relate to the 3 informative, >, balanced, ≈ and entropic < symbols:

All of them co-exist in an asymmetric amorphous system, symmetry is parallel in herds, it merges both elements in disymmetric mirror systems, and it is hierarchical destructive, entropic an in antisymmetric processes. ♣

**THE BASIS OF NON-AE GEOMETRY: A(NTI)SY=METRIC: FOURTH POSTULATE.**

**Abstract. As **space and time dimotions are geometric actions, form and function come together in the 5 Dimotions of the Universe. Hence the use of topological methods to study change in the form of beings through time, which we can now widen even further:

*The 4th most important postulate of vital geometry relates behavior and geometric similarity. It does fusion ethics function in time and form in space. As such it is the basis of behavior, creation and destruction in the Universe… **The graph shows the case of Darwinian devolution among men that perceive each other as different and enter into a perpendicular, Darwinian relationship and a case of social evolution between 2 forms that perceive each other as equal and enter into a parallel relationship of social love.*

We use again a slightly changed word A(nti)sy-metric as the word that includes in its decoupling the 3 ‘metric’ equations of the topological forms of the universe.

The fourth Ðisomorphism (equal laws that apply to all systems of Nature, deduced from the 5 Dimensions of space and time) is concerned with the study of the ‘operandi’ that connect the Spatial, simultaneous super organisms of space and its functions and motions in time. Namely if we define any system as a fractal of space-time, the 4th Ðisomorphism studies the ‘connections’ between topological form and organic function *and how the laws of connection define the behavior and relationship between species that either come together in parallel social forms or break into parts.*

*Let us then remember our generic definition of *

The Universe as a fractal super organism made OF…

**A(nti)symmetries**between its 4 Dual components, which can either**become Perpendicular/antisymmetric=a**nnihilate or evolve in**Balance≈become symmetric**:**S:***space; an ENSEMBLE OF***ternary topologies,****(|+O≈ ø)**… which made up the**3 physiological networks**(|-motion/limbs-potentials + O-particle/heads ≈ Ø-vital energy) of all*simultaneous**super organisms.***∆:**distributed in ∆±i relative*fractal scales*that come together as**∆º**super organisms, each one sum of smaller**∑∆-1**super organisms… that*trace*in a larger**∆+1 world…****ð:***a series of timespace actions of survival that integrated as a whole form a sequential cycles of existence with*each one dominated by the activity of one of those 3 networks: motion-youth, or relative past, dominated by the motion systems (limbs, potential); iterative present dominated by the reproductive vital energy (body waves), and informative 3rd age or relative future dominated by the informative systems, whose ‘center’ is:**3 ages**,

**@: The Active linguistic mind**that reflects the infinite cycles of the outer world and controls those of its inner world, through its languages of information, which guide its 5 survival actions:- 3 simplex,
**aei**, finitesimal actions that exchange energy (**e-**ntropy feeding), motion (**a-**celerations) and**i**nformation (perceptions) with other beings… - And two complex actions:
**o**ffspring reproduction and social evolution from individuals into**U-**niversals that maximize the duration in time and extension in space of the being.

This said and repeated ad nauseam in this blog, what the fourth Ðisomorphism studies is the ‘connecting operandi’, ≈, <, > and its combinations, ≤, ≥, which express how two given parts of a whole come together into a creative form or split into destruction. We borrow then the term a(nti)symmetry, with its ternary variations, symmetry, asymmetry and antisymmetry, loosely from physical theory, where the terms are all pervading in the explanation of the first principles of physical motions and dimensions but as all concepts of physics, ill-understood at the theoretical level.

In that sense creation in physics is said to be born of the ‘breaking of symmetry’ of a system. The translation to T.Œ of that concept would be rather the ‘breaking of an asymmetry’, that is an unstable configuration of any of the 3 ternary ∆±¡ planes, Ø=| x O topologies or Present-iteration = Past-entropy x Future-information time ages of the system that configure its stability as a super organism.

*When any of those 3 balances of Planes, topologies or Ages, achieved in the present, iterative, Ø-hyperbolic ∆ø organic plane is broken, the system ‘breaks its symmetry’ and splits the balance into the opposite terms, O x |, Past x Future, ∆-1< > ∆+1 and a whole breaks into two opposite parts, and vice versa, when an equality is reached, O=|, ∆-1=∆+1 or Past=Future, the being fusions into an immortal, balanced ø-present.*

The generalization of this concept to ‘many bodies problems’, to multiple cellular societies, to n-umbers implies then the ‘identity principle’ or definition of a stable ‘number’ as a society of clone beings, where the concepts of ‘complementarity’ between the antisymmetric terms, O and |, past and future, microcosms and macrocosmic scales is now substituted by identity. Indeed, while 2 parts can come together in a complementary fusion, the expansion of the laws of a(anti)symmetry to n-umbers beyond the couple require a postulate of indistinguishability and the formation of a mass that becomes a whole (bose-einstein statistics in physics, democratic mass behavior in sociology, identical DNA evolution of multicellular superorganisms in biology).

The fourth isomorphism thus is the most important of them all as it is in the operandi dynamic coming together or splitting of parts into wholes, where the essence of the ‘intelligence and ethics’ of the Universe, its topology and behavior expresses itself in its purest form.

In the formalism of non-Æ logic it corresponds to the fourth postulate previously known as the postulate of equality (classic Euclidean geometry) or Congruence (modern axiomatic method). In the formalism of religion to the concept of eusocial love and the manichean good and evil dualities, which we prefer to call Live=growth vs. eviL=deathduality. In the formalism of quantum physics its foremost expression is the Pauli’s exclusion principle. In biology the need for equal DNA genes for a system to work, without ‘rejection’ (as in transplant of organs). In sociology the need to understand each other’s language of information to fully evolve together – the existence of common memes, which reaches its maximal expression in the existence of common beliefs that make a new ‘God=subconscious collective to emerge’…

The best way to explain the 4th Ðisomorphism is thus through the ‘building up’ of relationships between parts and clones through the 5 Postulates of Non-Euclidean geometry, from the singularity (Fractal point) into the couple, joined by an ∆-1 wave of ‘bosons’ that put them together or split the system, according to the 4th postulate of relative congruence that will determine the creation or not of a ‘topological plane=superorganism’ (3rd postulate).

For a full translation of the laws of symmetry, conservation and its broken processes in terms of physics, we study the fourth D’isomorphism of physics in the article on astrophysics, so in this post we will fully introduce the much wider generalization of those terminologies to all ‘stiences’.

Let us sum up what modern science understands about symmetry in a screenshot of a classic paper on the subject, before we start to change our concepts adapting them to T.œ:

** Asymmetry; Symmetry= social parallelism and perpendicular antisymmetry**

At birth in the infinite past the Universe and by fractal similarity any of its parts, might have been either a confusing mixture of form and motion, if you prefer to ‘start up from that point’ (≥, mixing the symbol of > informative order, and ≈, parallel motion) or a ‘seed’ which generates reality, as we explain it in the Diomorphic analysis. As the Universe is eternal and fractal we can imagine the existence of the 3 regions of a(nti)symmetry and what matters to us is all the possible spacetime events that can occur departing from those 3 ternary elements. And the understanding on how to relate them to the other ternary realities of the Universe, specially to the closest one – the 3 topologies of a present space-time (parallel herds of motions/limbs, which are democratic, symmetric: ≈; hyperbolic body-waves: ≥ which are asymmetric as they combine both elements, the motion and > the informative vortices, which are antisymmetric, predatory as they deal with the informative ‘reduction’ of a system by ‘entropic feeding first‘ and then reorganization to reach a new more complex configuration:

# ♣: ≥≤ ♥:≈ ♦:≥ ♠:><

To notice that the connection of the previous concepts is directly with the 4th postulate of non-euclidean geometry in the logic realm. So antisymmetric ternary systems are mirrored in time by the 4th postulate of relative equality of systems.

**The 4 operandi of a(nti)symmetry**

The 4 symbols for our different logic states are:

-♠: parallel symmetry,** ≈ (symmetry), ♠: < ˆ > (perpendicularity), ♦: ≥ (complementary dissymmetry), ♣: ≤≥ (asymmetry).**

As usual as texts are from many years of lonely research when the symbolism was in flux, there will be many equations with improper symbolism; but future researchers are advised to settle for the explicit symbols of this latter versions.

♥:Symmetry is proper of herds of limbs and potential identical beings. So it is commonest in simple herds moving in parallel with a common system of communication delivered by the background space-time (∆-¡) or by an external agent that controls the herd along a common physiological network.

♣:∑ ∆-1; asymmetry is a mixed puzzle of different forms and motions of the ∆ts infinite Universe where all potentially might happen.

♦: **≥, **dissymmetry or ‘mirror symmetry’, or ‘complementarity’ needed for ‘reproduction’ includes both symbols, the one for parallelism = and form but in a positive, implosive, increase of order.

♠: Finally darwinian antisymmetry, **> < is destructive of one element.** Whereas most often the singularity of information predates or dominates in hierarchical events the field, or vice versa, the ‘field’ (vacuum space in physics) breaks the symmetry of the singularity making it ‘fall’ (Higgs infamous ‘Mexican hat)… are the synoptic, dynamic symbols that will connect parts and wholes through the 3 type of evens of reality.

*We choose those intuitive symbols as they allow the generalization of those 3 terms to the 3 a(anti)symmetries’ of reality of ∆±¡ plane, |xO=ø topology and <≈> ages.*

Indeed, the ≥ ≤ ≈, < > symbols intuitively apply to a ‘single plane of space-time’, hence they will be both the symbols of a(nti)symmetry for the 3 ages of time (> informative motion, < entropy motions, ≈ present motion, ≥ present to future stop and go motions, ≤ present to past entropic stop and go motions) and the complementary topological change, > implosion of information, < explosion of entropy, ≈ hyperbolic repetition…

*So when we study the ∆±¡ planes of existence and a(nti)symmetric relationships between those micro and macro planes, we just ‘change’ the orientation of the symbols from a single plane to the scalar structure of the Universe. So < : ∨ and a whole dissolves entropically… or **> : ∧ and a social whole emerges as the **singularity* creates intelligence, order, space, stillness, > reducing volume of energy, the 3 state of antisymmetric, darwinian perpendicular time-space relationships.

*The Physical origin of those terms. *

We chose in this Ðisomorphism physics jargons since the essential principles of reality are in physics better expressed in geometrical terms, for the aforementioned reasons of denial of the ‘will of existence’ to the point-particles of physics, quarks and electrons, which do gauge information, move to fields of energy, absorb it, reproduce in other particles and evolve socially in 3 aei simplex and 2 ou complex actions *that start the living existence of the fractal organic Universe. *

This denied by the ‘electronic humind’ which seems to think their electrons are special chosen of go(l)d, fetish-sweat of the sun, with magic properties once enters the crystalline of gtac atoms (:quip intended it is better to cast the duality of entropic, darwinian destructive behaviour, and social, evolutionary one between those 2 initial particles and all others scales of matter built with them in terms of its *geometric Asymmetry* between the 3 scales of ‘quantum, thermodynamic and gravitational’ matter, the 3 time ages of ‘gaseous, liquid and solid’ states, between plasma generation and nuclear extinction; and the 3 lineal=flat, cyclical=spherical and sinusoidal=hyperobolic topologies of space that all those scales display.

The **asymmetry** between | and O, ∆±1 and past, gaseous, entropic and future, solid ordered states of matter is the fundamental property in terms of logic thought of the Universe, which can either derive into:

-Symmetric coming together into the intermediate states of liquid, present, iterative time; associated to Ø-hyperbolic, sinusoidal body waves, dominant in the ∆º intermediate thermodynamic states; *which as it happens are complementary to each other, and **maximised *in the human being, self-centred view of reality (we are liquid hyperbolic body waves of present time).

Nt. on epistemology: This again is NOT on the highest philosophical thought because we are the centre of the Universe, but because in absolute relativity each informative knot of perception bias reality to feel himself the centre of its limited world. But for the time being as we are just humans and I will not soon emerge as a God of History (see section on paradises 🙂 we shall remain in our position as the only possible way to perceive reality, latter commenting on other weird self-centred minds as the Maldacena Black hole holography of the galactic body, and so on.

Back to asymmetry, when all those wonderful liquid states happen they tend to happen because if we were to cast the process in terms of non-AE (non-euclidean, non aristotelian, i-logic geometry, the vital expansion of the discipline) because geometrically the parts involved enter according to the 4th postulate of into a parallel relationship, which does NOT extract by friction more than a extremely limited quantity of motion and form, normally through an ∆-1 medium of micro-particles (2nd postulate), which allow the non-euclidean points (1st postulate) to perceive a finite number of parallels (5th postulate), to form social planes (3rd postulate).

So mathematically all happens in an orderly fashion according to the rules of i-logic geometry, but its chaotic reality means merely that huminds are still stuck in Euclid and Aristotle, and moreover do not understand why *parallelism and ‘respect’ to each other distances work so well as all those points moving in orderly fashion in liquid, sinusoidal flows of space-time are supposed to be dumb fuks… which **magically find their way. *

On the contrary, when they are dumb fuks, blind to each other, they collide perpendicularly. And so they do not magically find their way and do NOT evolve socially raising its forms to new planes of higher organisation, which we term generally as the fifth dimension of eusocial love, but break into scattering entropic states of dissolution, colliding randomly in ‘markowian’, memoriless processes which sooner or latter kill the whole, expand the space between the point-particles and finally stop them in an entropic heat relaxed into a latent state.

And this is what we call antisymmetric annihilations. So the asymmetry, symmetry and antisymmetry states for any of the parameters of reality are closed related to the 3 relative planes of existence of the being, as social evolution into wholes, present liquid states where the action is happening and entropic states when the dissolution and PERPENDICULAR collision, *except *when that perpendicular collision is clearly organised with the finality of ending the life=vital energy of a system and absorbing it for reproductive purposes, of which physical systems are also filled but ‘unbeknownst’ to the humind ego – from light photons absorbed as cells of electronic nebulae, to electronic nebulae absorbed by hungry up quarks, to quarks digested by hungry strangelets, themselves food for thought of top quark stars, aka black holes.

Here is then when the bio-logical properties of matter will allow us to reduce as the essential occkham’s razor the multiplicity of inflationary mathematical equations to what it HAPPENS. I.e., we can potentially eat oil, swallow coins and breathe gas but only a crazy child will affirm that happens often and it is good.

So happens by all the potential equations of physics, the organic properties of matter and its vital laws preclude that certain actions happen, certain forms are absorbed by others and certain ones do not except for accidental mistakes. And so we conclude the Universe is positive in its search preferential for symmetry over antisymmetry, social evolution in wholes over dissolution, which is most often product of a feeding action that an accidental error and establish as the arrow of absolute future the growth of social forms in the fifth dimension:

All this, as we must always walk between the multiplicity of our descriptions merging the entanglement of all the elements of reality and the needed order in which actions tend to be=come to fully grasp that order we consider the ternary symmetries of scales, ages and adjacent topologies, which structure the being internally through ∆±1 scales, in time through 3 ages and in space externally through its 3 topological forms, we have all of them expressed in the generator equation, where we add to the customary 3 topological dimensions of space, reflected in its dominance in the 3 ages of time, the fifth dimension of social generation which is the FIRST to happen in the seminal age of the being, and the fourth dimension of entropic dissolution, which tends to be the last, or future order, even IF HUMINDS see them by wishful thinking in the inverse way – ultimately balancing each other antisymmetric entropy and symmetric generation devolving to asymmetric zero sums, for the game to start again:

∆-1: Generation > ∆º: $t |-lineal limbs/potentials (dominant in a past young age) <: ∑∏ iterative, hyperbolic ø-body-waves (dominant in an iterative present) > ∆+1: O-Particle-head, which commands the being as a whole in an external world, dominant in its future 3rd age, before the system explodes entropically ∆+1<<∆-1.

To notice then how reality can be observed through those asymmetries, which means *the properties of each of the two extremes of the 3 ternary elements of reality are asymmetric to each other and so they cancel each other. *

That is cells/atoms/individuals are to the wholes asymmetric as** MICRO-points maximise** according to ‘5-4D metric inverse arrows’:

*Max. Size in space x Min. Time speed of informative clock cycles = Constant ***information** vs. **Macropoints that maximise its enclosure of energy-size.**

So goes for |-limbs/potentials vs. O-heads/particles asymmetric in its lineal vs. cyclical form. And so goes the first age of life or relative past dominated by lineal motion asymmetric to the 3rd age dominated by still, linguistic perception as the *freedom of lineal paths become closed trajectories of *cyclical form.

We then express *those 3 asymmetries as the 3 ‘Galilean Dualities’ of motion vs. form, parts vs. wholes, lines vs. cycles, which again as they emerge in different ‘scales’ of reality will be interpreted mathematically, philosophically, biologically, sociologically in multiple ‘jargons’ all of them equivalent and understood fully in terms of dualities and trinities of existence. *

Indeed because the system is NOT only dual, but ternary, the PHYSICAL asymmetries of time-ages, space-topologies and scales become merged into the LIQUID-present-hyperbolic body-wave interacting and mixing together to form a single one.

There are many views on such simple elements, specially when we fully understand the key principles of its operandi which are either opposite, Darwinian, or social, parallel – a principle which is as most of the principles ignored by science, vital, organic, biological; and *either bring together the asymmetries between lower planes of more information and larger planes of more energy or bring them into destruction. *

*So goes for the asymmetry between | and O forms, depending on how they come to each other tangentially or ‘penetrating’ to reproduce LITERALLY as we fuk each other’s gender (: i tell you is all vital geometries. *

And so goes for the different 1st and third ages of existences…

So that is the game: 3 asymmetries of scale, age and form, which can come together or annihilate and each language represent in different manners, the most well known that between:

names (forms) and verbs (motions); colours of blue and red, form and motion which can either be played reproductively into green or anti-complementary into yellow, the *colour of eviL destruction, of gold (:*

It is all in the codes of colours, we shall see even in the game of Nature.

*All is in the codes of the Universe and its operators, also clear in mathematics, with the duality of **inverted operations, + -, X ÷, √ xª, ∫∂.*

So the simplest method of extracting a meaningful quantity of information on a being or event requires to comment on the 4±operandi ‘5’ perspectives, even *when we study as we do in the first line, *those elements in themselves. In this post we shall deal thus with time from the perspective of space, time, symmetries, scales and mind languages that ‘stop it’ in the singularity of t=motion zero, from black holes to eddies to charges, to brains to frozen genetic DNA…

**A(nti)symetries and dimensions.**

Now, when two systems come together, there will be a relationship which depends on the equality of its 3 different parts will give combinations to an array of possible ‘consequences’, which can be tabulated in logic ‘truth or false’ type of graphs – which I will someday find on my files and put on the blog. Let us consider the basic relationships according to the equations/dimensions of information (1D), reproduction (3D)…

*1D (T.œ¹) ≈ 1D (T.œ²) they evolve socially through the 5th dimension of scalar social growth, when they understand each other’s information or…*

*1D T.Œ¹≠ 1D T.œ² + 3D T.Œ¹≈ 3D T.œ² + T.Œ¹>T.œ². That is, they will enter into a Darwinian relationship that destroys the T.œ with lesser existential e x i force**, when their 1D information differs but their 3D energy is similar… or*

*1D, 3D T.œ¹ ≠ 1D, 3D T.œ² they will ignore each other in parallel Universes as different ‘cat alleys’ when neither their information or energy is similar. *

We have introduced in the graph with a bit more of complexity the logic dimensional laws that define how systems IN ANY scale of the inverse, from Atomic Ions or crystals to human societies relate to each other in darwinian, perpendicular ‘tearing’ topological relationships that ‘break’ the closing membrane of one species disrupting its existence, or will keep a mean distance to form social networks of communication that will grow into super organisms, starting the emergent process of evolution of species into a new ∆§cale of social existence, so you understand that *in the Universe organic, geometric and scalar relationships are symbiotic to each other. *

Its connection as *everything else WITH THE 5Dimensions of reality is obvious. As it determines if the outcome of a relationship will be Darwinian=entropic or social=evolutionary.*

It corresponds to the classic 3rd axiom of congruence which all geometric systems require, but unlike the classic postulate that defined only external congruence, as it worked in a single ‘dimension’ of points with no parts, the new postulate is far richer in meanings as it introduces fully the ‘different degrees’ of congruence according to which number of dimensions both systems have similar. In fact, it establishes a limit of similarity, to define identity, in a postulate similar to Pauli’s exclusion principle:

‘There is not in the Universe two systems which are identical in its 5 Dimensions, as in that case they become one’.

Indeed, it is NOT truth that 2 bosons occupy the same place in space-time, because quantum physics ignores the fourth and fifth scalar dimensions of relative social evolution that is the real place in which those bosons are found, when observed closely:

In the graph, we can see how a boson condensate grows in the fifth dimension of social evolution, ‘rising’ beyond the single space-time continuum where they were initially located, to reach a higher order. We can then talk of a ‘tail of absolute space-time’ being formed.

**Classic 3rd axiom of Euclid ≈ modern 4th postulate of Non-Aristotelian logic.**

In classic geometry, the 3rd axiom of congruence hold a special place, as the 5th because of its apparent contradictions. How can we determine geometrically a quality of ‘equality’? Schopenhauer among modern philosophers noticed this contradiction, but few realized of the importance of the postulate.

In the upgrading of formal sciences, the realisation of the ‘redundancy’ of the fifth postulate of non-euclidean geometry – definition of a point with parts through which infinite parallels can cross, equivalent to the first axiom – definition of a point with breath; and the logic nature of the fifth postulate, prompted us to reclassify them NOT as geometric but logic postulate which dealt with the rules of ‘engagement’ of vital geometry.

So the fifth postulate defined a mind, of which depending of the number of parallels that can cross it, we shall find, different @nalytic minds and graphs of perception of information in the Universe, of which 3 canonical frames of reference, the Euclidean, hyperbolic and elliptic mind correspond to the 3 parts of any system (lineal potentials-limbs, hyperbolic waves-bodies and polar particles/heads).

On the other hand the fourth postulate of congruence has also a great deal of variations regarding the degree of equality between two geometric forms as they know have 3 parts, as ‘T.œ’. made of 3 parts. So congruence is relative as no system is equal to other in its 3 parts and at the same time occupy in the ∆+1 scale or world the same position.

The equality of the 3 parts however will determine if the interrelation between points will be constructive positive – when identity increases; or destructive, when identity or even inversion of coordinates happens. I.e. for example indistinguishable particles can become bosons and accumulate its form; fermions however would annihilate its wave state in antisymmetry to each other.

So the fourth postulate, is as important or perhaps even more than the 5th that defines a mind. And it is also related to the fourth dimension of entropy, when two forms are dissimilar, do not understand each others’ languages of communication and either ignore each other or enter into a predatory relationship

An exhaustive analysis of all the possible forms of relationship between two given points-beings, thus will be the fundamental guidance in all scales to establish the rules of engagement and according to the relative existential momentum/force of the being, who will dominate and how it will exercise its power over the other – or in identical particles, what social form will emerge of that communication.

**Nt.** Incidentally my only position in academia worth to notice was as World Chair of Duality in the International systems society, till my activism against the military-industrial complex became globally infamous and pissed off the congress who *cancelled the discipline, in the way capitalism cancelled Hegelian dialectics and the Chin emperor, taoism, *the 2 previous great ‘philosophical understanding of the obvious that from ‘1 the whole’ comes 2, yin and yang, thesis and antithesis, motion and form, lineal and angular momentum, and from 2 comes 3, qi, synthesis, energy; and this we can put it in terms of asymmetry as the duality, antisymmetry as its perception into opposites, symmetry as merge, back into a full whole.

So I tried when I was part of the group to convince the presidents of the association to call it ‘TRINITY’ but trinity has a bad reputation either as fundamentalist A-Bomb or fundamentalist religion. And yet TRINITY is the true name of the game. As ‘from 3 come all the beings in existence’ Cheng-tzu.

*So while trinity appears more clearly in the concepts of lineal and cyclical momentum, becoming energy beings, lines and cycles generating conics and hyperbolic waves, and so on… when we truly want to transcend into the logic of the game with no reference to reality the somehow more nebulous but most general of all concepts are those of asymmetry, symmetry and antisymmetry as they embody not only geometric but vital, organic meanings lost in the external classic description of them.*

So the best expression of the game is two different beings colluding, or a present body-wave breaking constantly its symmetry into two opposite functions that can either annihilate each other anti symmetrically, as waves do or complementary reinforce each other back into symmetry, concepts those hardly used in science beyond physics and even there ill-understood that now we expand to all sciences.

Indeed, in physics much has been done with the term symmetry since Noether theorem, but mostly when talking on philosophical terms, dyslexic physicists with overdeveloped computerised abstract mathematical brains, that seem to leave little room for anything else do NOT have *the remotest idea of what they talk about (quip intended), regardless of its mathematical functions, which do the job quite nicely by themselves – so computers do it even better, but hardly any humind will think that the computer churning out results with f(x)=-ƒ(-x), have any idea what symmetry and antisymmetry means.*

Now we know, and so we will be enlightening many whys from the Pauli exclusion principle, that essential quality of particles of matter, which nobody has ever clearly explained, to the Lorentz transforms – but somewhere in the future of 2018? time permitted, as this is an encyclopaedia of all knowledge, akin more to the Galactica encyclopaedia of Asimov’s foundation, and will take a few generations to fill up. And certainly as bio-history the destiny of all of us is more important the equations of social sciences will grow faster than those of non-euclidean mathematical physics in that fourth line (just added the 7 ages of God yesterday).

So this said even when physicists define symmetry they are in fact talking of geometry without clear meaning. Important within the concept are then ** a mirror symmetry**, which is *basically a reproductive symmetry between complementary beings as in Rna-DNA and gender, that allows two similar asymmetric forms to confront each other for purposes of meaningful pegging and reproduction; often deriving into***bilateral symmetry** which is a form of social communication that allows two forms to handle a vital space within them, encircling it. So they are forms of topological symmetry that derive into scalar symmetry, of two social parts that become one.

This is the kind of physical concept of symmetry we shall use here, and relates also to terms as parity, and so on. What *we reject as mumble-rumble is the whole Noether thing of using ‘symmetric’ concepts toe explain the conservation of the 3 fractal components of all beings, lineal, angular momentum and energy and all the mumble-rumble about time and space derived of it. We shall be far more clear on our terminology as what angular, lineal momentum, energy time and space mean and how they are conserved in infinite fractal beings:*

The game is a game of identical or complementary social parts that become elements of fractal organicism. This parallelism of beings which are clones by reproduction of each other allows the social symmetry between systems that are complementary to each other and meet in the middle term. So to vitalise geometric concepts, are essential elements to make sense of how reality, comes together and pegs into a single being.

This is said through the generator formal equation, which is a logic equation, whose fundamental property is to facilitate the understanding of all those processes as a whole.

So the logic principles of creation ‘relativity’, ‘a(nti)-symmetries’ and ‘organicism’ – words hardly understood in the context of present philosophy of science become more clear. Let us then complete our understanding of symmetry, recasting the principles of conservation in a better simpler way, to deal then with the other two great WORDS of 5D physics absolute relativity, which completes galilean and Einstein’s Relativity and then with *organicism and ‘perception’,* the 2 taboos of physicists and huminds when denying life at the Universe that made us all to its image and likeness. AS WITHOUT THEM, the will of the actions of survival of physical, biological and social systems cannot explain the whys of reality.

As a(nti)symmetry (ab. for the sum of asymmetry, antisymmetry and symmetry), we just said lead us to the final concept fundamental both in classic and fractal 5D physics, albeit now broken into parts.

Let us then consider the 3±i type of a(nti)symmetries, of scale, of topology, of age and *how the language of the mind express them, to* put then examples of the 3 fundamental sub-disciplines of ‘stience’ – social, biological and physic sciences.

# ∆ø=∆-¡+¡

**A(nti)symmetry of scale: Organicism. **

From the co-existence of beings in 3 different scales of reality, ∆±1, that is form the fractal structure of space, it follows the organic nature of reality as flows of energy and information and motion between those scales based in the symbiosis of smaller beings that have more information and larger wholes that enclose the parts, precludes organic properties.

Unlike the simplex physical description of the Universe, as an extension in space, where the time parameter of change only is relevant in the descriptions of motions within the fractal Universe of any parts of it, *as if nothing else would matter, reserving organic and sentient properties, under the ‘ego paradox’ for the human species only,* our interest is much more profound as we consider all parts of the Universe homeomorphic to each other and hence with the same properties that humans do have, and vice versa. into all the properties that the simplex physical description misses, as they are not susceptible to me written in mathematical equations, or are not observable, directly but can be inferred from the actions they produce. It is then possible through those indirect methods of observation and departing of the homologic, isomorphic properties of all beings, deduce the non-observable properties of being by its external effects.

Organicism thus is immediate from the scalar structure of reality, as it is the only form TO CONNECT THE SCALES OF REALITY OR ELSE IF ENERGY AND INFORMATION WERE NOT TRANSFERRED BETWEEN THEM WE WOULD NOT SEE THEM WITH microscopes and telescopes. Very little thought astonishingly enough has been paid to this, casting serious doubts on the intelligence of the humind – but I’m not gonna quip as usual on the homunculus; just show you those obvious physiological networks that transfer entropy-motion, energy=reproduction and form=languages between scales (:

Finally a principle which will be abhorred by classic physicists but it is really the ice in the cake is the sentient nature of singularities WHICH IS PROVED BY THE FACT THEY ARE THE ENGINE OF THE 5 SURVIVAL ACTIONS OF EVERY PART OF THE UNIVERSE. So to conclude as we start, we have to reduce physics what it is truly – the science of motion, the 2D lineal motions and 4D entropic motions, and then when we do explain better its principles, again a huge beautiful discipline, but NOT the one giving the whys, in its present format and limited dimensionality.

**The organic paradigm: everything is T.œ – an organism of space and time.**

So besides the 3 space dimensions ≈ 3 time dimensions (seen as still in space, as moving in time) we do need to consider at least 2 more dimensions, one for the lower scales of the being, which we shall call the fourth dimension of absolute past and one for the upper dimension of the being of absolute future.

We do have then mathematical and verbal, logic mirrors to express those 5 dimensions of space-time, the ultimate substances and unify with them ALL SCIENCES, departing from the properties of those dimensions its structures in space and travels in time, each ‘stience’ of space-time studying an scale, including those who describe man.

Thus this is the Universe in a nutshell, repeated ad nauseam in all scales, and we shall repeat with kaleidoscopic variations the previous paragraphs to describe the thoughts of ‘god’, to make organic systems tracing world cycles, regardless of the huge details scientists have obtained so far.

So the organic paradigm has taken longer to be formalised, as we do in this blog, because it requires to ad to the motions in space studied by physicists, the arrow of in-formation, of form, stored in the form and frequency of the clocks of time cycles of reality, which are along its lineal motions in space the two elements that conform all realities, by combining and integrating into ‘vital energy systems’.

Those 3 arrows spreading across different scales of size, which add 2 more space-time dimensions of ‘wholes and parts’ to the mix, will allow us to describe all what exists as an organism of space-time, the long-seeked ‘sound organic philosophy of science’, reflected in the graph.S-paces

All of the co-exist in at least 3 scale, so we talk of ∆-1 cells/atoms/particles/molecules/points that will form 3 physiological networks, of relative entropy-motion, energy and in/form/ation, put together into an ∆º individual whole, existing in a larger ∆+1 relative world. So we can map out all those super organisms according to scale, each one studied by a different ‘science’, (stience of space-time beings). In the graph a fast review of the super organisms of the Universe in space and time, through its 3±1 dimensions origin of its Ðisomorphic laws. They define the 3 relative present dimensions of all ensemble of systems, made of ‘angular monentum’≈ cyclical time clocks, lineal momentum≈ lineal limbs/fields and a vital energy, the integral, combination of both (V+T). We shall call those 3 conserved quantities of any ‘fractal part of the Universe’ and its ensembles into complex organisms, the 3 ‘present dimensions of fractal space-time’, which create the beings perceived in the relative present ‘finitesimal time of a world cycle of life and death’, of different duration according to the ‘scale’ and speed of the clocks of the being:

Let us start with a visual, topologic analysis of the dimensions of space-time. There are first 3 normal dimensions, which instead of being height-length and width (latter we shall see how they actually have the same function), they are the 3 topological varieties of the Universe: spherical, planar and hyperbolic forms. And so in a single plane of reality, we perceive systems as ensembles of the 3 varieties of space, (*to which we soon will add the 2 scalar dimensions of entropic parts, and social wholes). *

Let us start then to build reality with the 3 dimensions of space and its motions in time, we shall also called arrows or cycles or actions of space-time. I*n the next graph, a first hint to how the 3 ‘vital dimensions of space-time’ ensemble into parts and organic wholes in all physical, biological and social systems; since there are only 3 topological forms (geometries with motion) in the Universe. So evolutionary topology the expansion of topology proposed in this form is the key discipline to understand how the species of reality are created and destroyed: *

In the graph we see from a spatial, simultaneous, formal perspective, ensembled into 3 type of physical, biological and social space-time organisms, the 3 ‘form of space=functions of time=topological varieties of space-time in the Universe’.

In the graph we see the 3 first dimensions when doubled in function, divided according to the ‘discontinuity of the fractal Universe’ and perceived as lineal maximal motions-functions in limbs/potentials and maximal informative storages in spherical heads/particles.

So the 3 dualities of the Galilean paradox that started science but were REDUCED by physicists to single dogmas (continuity, single scale, lineal equations and lineal time), when *fully accepted as the ultimate logic dualities that co-exist in reality, *explain immediately the structure of most systems in existence.

*Organic forms.*

Indeed, all what you see are forms of space with motion in time that combine into the infinite energy beings of the Universe.

And while physicists have reached an extraordinary dexterity calculating the motions in space of beings; only when we ad those other type of motions=changes in space-time we understand how they trans-form and evolve through generation into new forms of in-form-ation. This is the basis of the formal model of this blog, the ‘eternal philosophy of science’, we call ‘organicism’, which understands the Universe as a system that reproduces information.

Such model is vastly more explanative of reality than the mechanical abstract models dominant in the tradition of physical sciences for a few basic reasons:

- Only an organism replicates itself without the concourse of a ‘maker of the machine’ – God in the earlier physicists’ view, now obsolete. As machines do not reproduce.
- Only the definition of time as the substance of reality – cyclical motion that reproduces form allows the Universe to move, as only if motion=time is the ultimate substance the Universe never stops.
- Only if it is cyclical, repetitive, there are laws of science which are precisely those repetitive motions.
- Finally we know since Relativity that there are infinite clocks of time with different speeds (we knew it always just looking at the clocks of nature, but the expansion of physicists’ way of measuring all time clocks equalised to the rhythms of the mechanical clock, had obscured those facts.

Of course if we want just to ‘measure’ from a human point of view, those rhythms, a single mechanical standard of time, the second can study those cycles, and a single line that ads ‘cycles’ pegging them can represent the time duration of a being, but we loose its meaning, its form, its in-form-ation. And if we want to make a complex analysis of the whys and repetitive patterns, and organisation of those patterns we won’t be able to do it.

**Sentient Universe.**

The Universe is a sum of a series of actions, ∆aeiou, of them, the first action is perception by an observer, ∆o, of a field of energy, ∆e, to which it will move, ∆a, in order to feed, ∆e and use that energy to reproduce its information, ∆i, iterating a form like itself, which will gather with clone forms to create a larger, ∆U universal social plane.

This is all what we should describe when we reduce to minimal cyclical space-time actions the total reality of any self. But the Devil is in the details. So as this simple ‘aeiou’ game repeats itself creates ever more complex perceptions, mappings of reality into space-forms and motions and forms ensemble into larger beings and smaller ones… forming a fractal structure. So in a second layer of complexity we would say:

The Universe is a fractal super organism of space-time, made of ∞ super organisms all made to its image and likeness. Each super organism IS MADE of 3 ∆º ternary physiological networks, made of smaller ∑∆-1 ‘atoms/cells/individuals’ that process motion, information and reproduce for the whole system, living in a larger ∆+1 world.

Thus super organisms have two fundamental elements: 3 co-3existing ±1 planes of cells/atoms/individuals gathering into physiological networks (together forming a species), living in a larger ∆+1 world:** ∆§**

But those super organisms constantly change its parameters of motion and form, increasing its information warping in a world cycle of time, the ‘3rd fundamental element’, which is therefore symmetric to those physiological networks, as the informative network dominates the other ones, increasingly ‘warping’ the being, either a physical system (so stars become black holes, galaxies quasars, matter solids) or a biological system (3rd age), which then returns back in an explosion that erases its energy (physical E<≈>M Big Bang, or biological death or war, in the 3 type of systems).

*Each language perceives a partial truth.*

But why there are brains that absorb tiny flows of motion and convert it into still form, called in-form-ation? To perceive, move, feed and survive.

As all in the game of existence, because to accumulate information helps you to survive, to locate energy and feed and continue the game of existence.

What information does is to offer an organism maps of the Universe, virtual worlds, complex representations of reality, with a lot of formal detail, that map out the Universe and helps the organism to survive. All organisms perceive and react to information in one or other manner, and we call that property of organic systems, perception.

The flows of energy that become information in the brains of organisms, cause the organism to react to the external universe. That is the second arrow of life.

After feeding, organisms transform energy into information and react organically to that information. Bear in mind though that information comes in many shapes and forces. So each brain perceives a different information, a different map of the Universe…

IN ANY CASE, the whole program of actions of the Universe – not only the SIMPLEST action, motion is what truly makes the Universe organic, and as it can be proved that those actions depart form the singularities, those at the minds of the Universe. Let us remember those actions studied in its specific posts.

SO we shall be able to consider through the actions of the beings, which are all similar in search of survival, the existence of singularity-minds in all of them.

Thus those are the fundamental bio-topo-logic principles of reality derived of the organic co-existence of scales, topological forms of space, logic search for symmetric beauty, through 5 Dimensions expressed in 5 actions by the will of sentient singularities… Now we shall deal with the correction of the errors of the humind, because when you don’t know how to speak the language, your typewriting will always go slow, full of grammatical faults so we have to change the ‘language’ of the typewriter – aka physicist, as the ‘languages of God are infinite’ Upanishads.

*The fourth postulate of non-Æ topology that ‘vitalises’ the laws of mathematics, establishes the three fundamental geometrical≈behavioural relationships between T.œs, according to its relative similarity≈parallelism, or perpendicularity≈difference, which will determine if:*

The key element in the understanding of the smaller whys of the Universe are the actions of beings, committed according to two patters – simplex behavior (aei actions of acceleration-motion, energy-feeding and information, the bare minimum for survival) and complex actions, ou actions of social evolution and reproduction, needed for the system to endure beyond the individual finite lifetime cycles. So how those ou complex actions and aei simplex actions take place?

Easily they can be divided according to similarity in two behaviors: simplex forms that do not understand each other, kill each other. Complex forms help each other and survive. So the study of those two behaviors under the Rashomon truths – that is from the perspective of topology (perpendicular darwinism vs. parallel social evolution), Scales (actions of darwinian predation or social evolution), time (phases of a predatory or social act) and mind (need for equal comprehending languages for the system to evolve) are the key to fully grasp the interlocked will of the program of the Universe.

The study of those 4 elements of all realities, its actions and ternary operandi, which result in a social evolution together of the 2 + elements (the balanced body-wave and informative @particle-mind, and the entropic destruction or ab=use of the – simpler, lineal limb-potential-prey, which structures *the dynamic ‘Generator Equation’ of all Space-time Systems of the Universe, written in its simplest form as a singularity-mind equation, O x ∞ = K or in dynamic way, S@<≈>∆ð,* is thus necessary in every analysis of reality, since all systems will be connected across its scales, with a larger outer and inner smaller world; will be perceived either simultaneously as a super organism or in time as a flow of actions integrated into larger ages, which will invariably guided by an informative stiff-mind, stop motion into information, warp and finally disintegrate itself.

There are many views on such simple elements, specially when we fully understand the key principles of its operandi which are either opposite, Darwinian, or social, parallel – a principle which is as most of the principles ignored by science, vital, organic, biological; and *either bring together the asymmetries between lower planes of more information and larger planes of more energy or bring them into destruction. *

*So goes for the asymmetry between | and O forms, depending on how they come to each other tangentially or ‘penetrating’ to reproduce LITERALLY as we fuk each other’s gender (: i tell you is all vital geometries. *

And so goes for the different 1st and third ages of existences…

So that is the game: 3 asymmetries of scale, age and form, which can come together or annihilate and each language represent in different manners, the most well known that between:

names (forms) and verbs (motions); colours of blue and red, form and motion which can either be played reproductively into green or anti-complementary into yellow, the *colour of eviL destruction, of gold (:*

It is all in the codes of colours, we shall see even in the game of Nature.

*All is in the codes of the Universe and its operators, also clear in mathematics, with the duality of **inverted operations, + -, X ÷, √ xª, ∫∂.*

So the simplest method of extracting a meaningful quantity of information on a being or event requires to comment on the 4±operandi ‘5’ perspectives, even *when we study as we do in the first line, *those elements in themselves. In this post we shall deal thus with time from the perspective of space, time, symmetries, scales and mind languages that ‘stop it’ in the singularity of t=motion zero, from black holes to eddies to charges, to brains to frozen genetic DNA…

**Assymetries and dimensions.**

Now, when two systems come together, there will be a relationship which depends on the equality of its 3 different parts will give combinations to an array of possible ‘consequences’, which can be tabulated in logic ‘truth or false’ type of graphs – which I will someday find on my files and put on the blog. Let us consider the basic relationships according to the equations/dimensions of information (1D), reproduction (3D)…

*1D (T.œ¹) ≈ 1D (T.œ²) they evolve socially through the 5th dimension of scalar social growth, when they understand each other’s information or…*

*1D T.Œ¹≠ 1D T.œ² + 3D T.Œ¹≈ 3D T.œ² + T.Œ¹>T.œ². That is, they will enter into a Darwinian relationship that destroys the T.œ with lesser existential e x i force**, when their 1D information differs but their 3D energy is similar… or*

*1D, 3D T.œ¹ ≠ 1D, 3D T.œ² they will ignore each other in parallel Universes as different ‘cat alleys’ when neither their information or energy is similar. *

We have introduced in the graph with a bit more of complexity the logic dimensional laws that define how systems IN ANY scale of the inverse, from Atomic Ions or crystals to human societies relate to each other in darwinian, perpendicular ‘tearing’ topological relationships that ‘break’ the closing membrane of one species disrupting its existence, or will keep a mean distance to form social networks of communication that will grow into super organisms, starting the emergent process of evolution of species into a new ∆§cale of social existence, so you understand that *in the Universe organic, geometric and scalar relationships are symbiotic to each other. *

Its connection as *everything else WITH THE 5Dimensions of reality is obvious. As it determines if the outcome of a relationship will be Darwinian=entropic or social=evolutionary.*

It corresponds to the classic 3rd axiom of congruence which all geometric systems require, but unlike the classic postulate that defined only external congruence, as it worked in a single ‘dimension’ of points with no parts, the new postulate is far richer in meanings as it introduces fully the ‘different degrees’ of congruence according to which number of dimensions both systems have similar. In fact, it establishes a limit of similarity, to define identity, in a postulate similar to Pauli’s exclusion principle:

‘There is not in the Universe two systems which are identical in its 5 Dimensions, as in that case they become one’.

Indeed, it is NOT truth that 2 bosons occupy the same place in space-time, because quantum physics ignores the fourth and fifth scalar dimensions of relative social evolution that is the real place in which those bosons are found, when observed closely:

In the graph, we can see how a boson condensate grows in the fifth dimension of social evolution, ‘rising’ beyond the single space-time continuum where they were initially located, to reach a higher order. We can then talk of a ‘tail of absolute space-time’ being formed.

**Classic 3rd axiom of Euclid ≈ modern 4th postulate of Non-Aristotelian logic.**

In classic geometry, the 3rd axiom of congruence hold a special place, as the 5th because of its apparent contradictions. How can we determine geometrically a quality of ‘equality’? Schopenhauer among modern philosophers noticed this contradiction, but few realized of the importance of the postulate.

In the upgrading of formal sciences, the realisation of the ‘redundancy’ of the fifth postulate of non-euclidean geometry – definition of a point with parts through which infinite parallels can cross, equivalent to the first axiom – definition of a point with breath; and the logic nature of the fifth postulate, prompted us to reclassify them NOT as geometric but logic postulate which dealt with the rules of ‘engagement’ of vital geometry.

So the fifth postulate defined a mind, of which depending of the number of parallels that can cross it, we shall find, different @nalytic minds and graphs of perception of information in the Universe, of which 3 canonical frames of reference, the Euclidean, hyperbolic and elliptic mind correspond to the 3 parts of any system (lineal potentials-limbs, hyperbolic waves-bodies and polar particles/heads).

On the other hand the fourth postulate of congruence has also a great deal of variations regarding the degree of equality between two geometric forms as they know have 3 parts, as ‘T.œ’. made of 3 parts. So congruence is relative as no system is equal to other in its 3 parts and at the same time occupy in the ∆+1 scale or world the same position.

The equality of the 3 parts however will determine if the interrelation between points will be constructive positive – when identity increases; or destructive, when identity or even inversion of coordinates happens. I.e. for example indistinguishable particles can become bosons and accumulate its form; fermions however would annihilate its wave state in antisymmetry to each other.

So the fourth postulate, is as important or perhaps even more than the 5th that defines a mind. And it is also related to the fourth dimension of entropy, when two forms are dissimilar, do not understand each others’ languages of communication and either ignore each other or enter into a predatory relationship

An exhaustive analysis of all the possible forms of relationship between two given points-beings, thus will be the fundamental guidance in all scales to establish the rules of engagement and according to the relative existential momentum/force of the being, who will dominate and how it will exercise its power over the other – or in identical particles, what social form will emerge of that communication.

**INTRODUCTION: THE NON-AE FORMALISM OF THE 5TH DIMENSION **

**The 5th dimension as the basis of epistemology: unification of sciences.**

*In the graph, the Universe has a 5th dimension of different ‘scalar volumes’ and different speeds in its cyclical time clocks. Such as the faster an entity completes its time cycles, the smaller it is. Thus we can classify all entities of the Universe made of relational space-time with 2 inverse arrows, one of increasing size in space and an inverse arrow of diminishing speed in its time cycles (appearing as angular momentum or vortices of forces, masses and charges in physics, as circadian, biological and metabolic cycles in living beings). Yet the product of both components of any universal entity remains constant, which allows the interaction between entities of different scales and gives origin to the metrics of the 5th dimension: Sp x Tƒ = Constant. An astounding number of responses to standing questions of sciences can be explained through them.*

The importance of the 5th dimension in that regard is dual.

As it is the basis of a new Scientific epistemology, which allows the classification of all sciences according to the scale of the 5th dimension it studies; and on the other hand its metrics (rules of motion), encompasses all the previous laws of sciences and the metrics of 3 and 4 Dimensions within it, creating the scaffolding for the Unification of all sciences.

The isomorphic laws derived from the common spatial topologies, temporal world cycles (life-death ages) and existence across several spatial planes of cyclical time, through which systems exchange energy from above to below S-planes and information through world cycles, from smaller to larger beings are the *core element that structures and explains all morphologies, events and flows of existence in the Universe.*

They explain an enormous number of Universal phenomena common to all systems, and species extending across those U±4= 9 cyclical planes. And we call those common set of 10 type of laws the ‘isomorphisms’ of the Universe; of which 3 are essential as they derive of the essential space dimensions, time ages and U±4 planes of space-time of which all beings are made:

**The described isomorphism of the 3±∆ time ages or ‘world cycle of life and death**‘ (the expanded concept of a world line used in physics of 4 Dimensions, as now the 5th dimension allows a back and forth movement up and down which completes the life-death cycle, hence making time cyclical).

**The isomorphism of the 3 ‘topologies’ of all systems in space,** symmetric to the previous one: fields/limbs of hyperbolic energy, dominant in youth; toroid, reproductive body-waves, dominant in the adulthood and informative spherical membranes and zero-points dominant in the 3rd age.

** A VISUAL AND LOGIC RESUME OF IT ALL.**

Let us then resume the 3 formal motions of space and time, and its combined actions, the main components of reality and its infinite cyclical clocks, which physicists reduced to a simplistic concept of a lineal single time arrow of entropy for the entire Universe, changing truly with this ‘ideology about time’ (in as much as it was born of their worldly power, to make lineal weapons of energy), how science and mankind designed its future. We will be a bit ironic about them and the human species in general – hope you understand and don’t take it personally…

Time is bidimensional, and so a cycle of time has a dimension of height, and its static perception is a ‘still picture’, a bit of information. And energy is also bidimensional and its still picture is a plane of space. And one and the other constantly interact – lineal and angular momentum, potential and kinetic energy, heads and bodies and limbs, particles and waves and fields. We are all 4Dimensional beings mixture of energy and time, space and information. So:

SP: Spatial Extension <=>TƑ, and temporal information can transform into each other ad eternal. And this is the new fundamental law of the holographic universe. They mix together to form 4 Dimensional beings, and as time can be seen fixed as space, we do have a mental tendency to see time cycles as information, fixed forms, which we confuse with space.

So we are made of those bidimensional space-information, energy and time beings and their ‘present 4 Dimensional combinations’, waves and bodies of space-time that perform ±4 actions of energy and information, plus the absolute arrow of the 5^{th} dimension, towards life-social evolution and death, entropy disorder:

So we can write with the same sentences we used to explain the Human being, all the beings of the Universe:

All systems of the Fractal Universe, including the Universe itself, are Non-Euclidean Points of Existence, **Œ**, co-existing in 3 relative ∆± planes of the 5^{th} dimension, made of a finite amount of two formal motions, Lineal **energy motions (kinetic motions, lineal momentum, limbs and fields)** and cyclical **time clocks (angular momentum, Internal Energy)**, which conforms its **worldcycle** between seminal conception, in a l**ower plane, ∆-1, of cellular existence,** which emerges, **L, **in a **higher plane, ∆, **as a superorganism of a mass of billions, ∑, of atoms (physical systems), cells (biological systems) or citizens (sociological systems), knotted, ∏, by its dimensional, Past, **E**-ntropic Limbs/fields, Future, **I**-nformative Heads/particles and **Present, Repetitive Body-waves and** networks, which help the system to perform a series of cyclical space-time ±∆ actions of absorption and emission of energy and information, as it **a**ccelerates, **∆æ, to** feed on fields of **e**nergy, **∆e,** which it apperceives as **i**nformation, **∆œ**, to copy itself in an **o**ffspring of similar systems, , ∆**œ**, which evolve socially, **∆û**, into Universals, part of an external **Higher plane, ∆+1, **till its extinction, when the arrow of growing information and life reverses its path into a ‘big-bang’, E< = >Mc^{2} explosion of Entropy called death, that erases the information, of the entity, devolving it back, **>>,** two planes down from the **∆+1** society to the cellular **∆-1 **plane.

So the worldcycle ends into a zero sum.

In the graphs and texts we have iterated 3 times the essence of the worldcycle, or function of existence, which all systems of spatial energy and temporal information of the Universe follow, as they travel through 3 planes of the 5^{th} Dimension, of relative scales of size and speeds of temporal information that structure the fractal, organic Universe.

Thus we talk in General Systems of a fundamental ternary ‘particle’ in the Universe, a super organism made of cycles/clocks of temporal information with cyclical geometries (the form that stores more information) and bodies/waves that reproduce the system, and lineal limbs/fields (as the line is the fastest motion between points) that move the system, fractal parts of space-time of a Universe made of infinite of such space-time beings, co-existing in those 3 scales, of an infinite scalar Universe, each scale studied by a science.

And resume its entire species with a simple ‘Generator Equation’ written in the ‘Non-AE formalism’ of T.Œ, which writes:

*(Sp-limbs-fields<>ST-Bodies-waves<>Tƒ-Particles heads)∆±1*

Whereas < is a flow of energy and expansive motion, > a flow of information and ∆ the symbol for the 5th dimension of multiple scales, L the symbol of an emergence in a higher scale and its inverse a devolution back into a lower plane, as in the moment of death.

Existence, is as simple as that, as complex as the entire Universe when we consider in detail each of those systems, its topological and organic properties and the interactions between its parts and wholes, in an iterative, organic fractal Universe.

In the graphs humans also are a system with those 3 organs/functions, which ‘stretches’ its function of existence, Œ(human), through 3 relative scales of the 5th dimension, the ∆-1 cellular, i-organic, ∆+1 social scales, and lives and dies as all systems, travelling through those scales of space-time, born as a seminal ∆-1 seed, which emerges in the i-organic scale, where it is structured in 3 fundamental systems, of ‘lineal motions/forms’, the limbs, spherical motions/forms of information, the senses accumulated in the spherical head, and the reproductive, ovoid middle territory of the body.

And accordingly each of those 3 elements is structured around a ‘digestive-energetic’ system in the lower part (stomach-limbs), a blood-reproductive-hormonal system in the middle (heart-reproductive system) and an informative system on top (the head).

So we see how the simple elements of a ternary formal/functional Universe of infinite fractal space-time beings starts to take shape and explain questions, which were never answered, not even ‘questioned’ about the nature of it all.

Now the trinity of ‘organs in space’ with functions in time that show the same topological types of ‘geometry in motion’ open that wider view and reveals the vital whys of geometry, when we consider its symmetry with time motions/logic functions:

The top part of a human is the relative future, informative, particle/head.

Its birth as a seed of cyclical information, starts its ‘travel through the 5th dimension that we call life, in the lower cellular scale, which we write in Æ (abb. existential algebra) as O-1 (a spherical seed of information of the ∆-1 scale relative to the human i-scale).

Then the fetus emerges in the word as a baby, a youngster that moves lineally all around, Max. Sp, full of energy.

A child is always feeding on energy and moving fast in space. It is the age of entropy, the young age.

But then he becomes dominated by his body-wave/reproductive system. It is the adult age or present longest age, in which it iterates into a family, it reproduces into a similar present form.

Then finally all energy is exhausted, and the man warps into an excess of form, of cyclical memories, wrinkles and dies…

**Its Fractal Generator, Povs & 10 ISOMORPHISMS**

In the simplest description of the Universe, we can talk of the use of existential algebra, which studies in detail the space-time actions of all points of view that first gauge information, create a still mapping of the Universe, and then try to imprint a territorial field of energy with the perceived form, enacting its imagination, as an act of survival of its self, which becomes the body of its organism, which will through a series of isomorphic actions of absorption of energy and information, trace a world cycle, step by step of present repetition of its wave-body actions and informative perception, e>i, on its field-particle state, till finally it becomes so unbalanced, as the wave is present but the particle-field male state is E>I integrative and diminish the energy of the system, hence defining an overall arrow:

Female Present-wave-body state: S=T + Past>Future, field>particle male state = ∆I: Life arrow + Death arrow: Big bang, I<E (Particle dissolves in field)=0

It is this world cycle of existence that develops in 3 phases the Max. E x Max. I function, (Max. Youth, Max. I: 3rd age> Max. E xI (E=i) adult state), what we see developing around the Universe, in the 3 ages of life, 3 forms of space, female/male dualities, waves and particle-fields, 3 arrows of time, 3 organs of space.

THE FUNCTION OF EXISTENCE IS THE ULTIMATE KNOTS AND BOLTS OF THE UNIVERSE, ITS STUDY BY EXISTENTIAL ALGEBRA THE HIGHEST FORMALISM OF STIENCES. Alll what we do all beings is really performing parts and wholes of those functions, its cycles and derivative actions.

** The ISOMORPHIC method of study of ‘∆ST’ species. **

Now the method of study of T.Œ is simple: as all systems are variations of the ∆ST fractal space-time reality of which we are all made, reflected on the Fractal Generator:

∆-1: ◊-Spe≤≥∆œ-ExI(s≈t)≤≥∆+1⊗-Tiƒ…

And its symmetries in space (Spe), time (Tiƒ), and 5D (∆±1), its ternary elements in each of those symmetries and combined event among elements which perform space-time actions to become parts of larger wholes. From the fractal generator, then, we can extract a series of fundamental laws, isomorphic to all species, which we group in 10 series of isomorphisms, causally related to each other, as elements of larger ‘understanding’ of the Fractal Generator:

In the graph a resume of the main isomorphic laws of the Universe derived of its ∆ST structure, which defines the fundamental isomorphisms that all species made of ∆Space-time cyclical actions share.

The Universe is a fractal of super organisms tracing world cycles of existence, as they travel through the 5th dimension.

The Goal of ∆ ST.œ is to fully describe all the properties of the different species of the Universe, each one self-centred in a scale of relative size and time speed of the 5th dimension, with the 10 isomorphisms (equal sets of laws) deduced from the general properties of scalar space and time that define the similar forms, events and actions of all the entities that exist.

In brief we unify all systems of reality, because all of them are made of fractal space, cyclical time and its ∆±n co-existing 5D Planes of Non-Æ fractal points, whose structure responds to a clear super organic form in space, and perform the same Worldcycle of existence between birth and extinction.

Thus the methodology of ∆ST is simple. We study the Scalar Space-Time actions and worldcycles of all superorganisms, through its fractal Generator equation that ‘establishes’ those elements common to all space-time fractals, particularized for each species. Because we can deduce from the Fractal Generator, 10 fundamental spatial organic parts, time events, social scales, centered in a O-point or relative mind/frame of reference, for each of those superorganisms tracing a worldcycle of existence, it is useful to divide the study of those superorganisms in 10 isomorphic elements, deduced from the ∆ST fractal structure of all those systems.

Thus in this 4th line we study the main species of the known-known scales of the 5^{th} dimension considering for each of them its ∆ST structure , __Generator Equation and 10 isomorphism__s.

Now, the ego paradox of humans will likely reject this reality, as part of the very essence of ‘being’ in a Universe of infinite relative points of view, fractal points that perceive reality from its relative still mind, with a perspective that diminishes the information of reality the further it is in time, space or the scales of the 5th dimension. So we do not see the future, the past (far away distances in time), the far away forwards backwards and sidewards regions (distances in space) and the other scales of reality. The perception of the whole is truly small, and in the human case for reasons of pan geometry ratios, minimal in time and 5D scales, maximal still reduced in space, as we see space with fast moving light.

This explains why the fractal paradigm, being so objectively evident is not accepted.

For that reason, the model stresses equality of all beings, by objectively study all systems with 10 isomorphisms of existence.

The study of all those scalar super organisms, and its world cycles of existence is therefore the study of what we all are.

Those ‘i-somorphic’ laws derive from their common nature as ‘Scalar Space-time beings’ made of:

The same ‘3 topological finite dimensions of space’ that configure its ‘3 organic parts’ As all systems have lineal fields/limbs of energy; and spherical heads/particles of information that combine in their toroid bodies/waves that iterate the system).

The same ages of time, dominated sequentially by those topologies: an energetic youth, a reproductive maturity and an informative old age that define the finite duration of its life-death worldcycle.

And the same ‘scalar planes’ of organic existence, divided into, the closer 3 ∆±1 scales:

– The ∆-1 existential cellular/atomic plane, the ∆-individual plane and the ∆+1 social, gravitational plane (physical/biological sytems).

– And the larger ‘ecosystemic’ scales, with whom the ∆ST being inter-acts to get its energy, information and force (its ∆±2 world and energy quanta, its ∆±3 micro and macrocosms and its information bits and its ∆±4 Universe and its motion forces).

And so as a result of that common structure of all beings, we can consider anything that exists a *variety of *fractal scalar space-time; part of an infinite isomorphic reality defined formally by a ‘Fractal Generator equation’ written with the symbols of those 3S≈3 T x 3∆ dimensional planes of space-time. Which in its simplest generic form would write:

[Spe≤ ST≥Tƒ]∆±4

Representing the 3×2 bidimensional Space-time topological organs of all species in space, Sp limbs/fields of energy, ST repetitive body/waves and Tƒ particles/heads of information, which exchange in time flows of energy, <, and information, >, or repeat them, =, through 5 type of actions, across 9≈∆o±4 planes of existence, increasing its acceleration with the help of ∆-4 forces, its ∆-3 informative bits, its ∆-2 energy quanta, its ∆-1 reproductive seeds and evolving social with ∑∆ parallel clones, to create a bigger social û+1 superorganism.

This is the Universe in a ‘nutshell’ and all its fractal parts and so we shall study in the 4th line, each main species of each scalar Stience of the Universe through its fractal generator, its dimensions of space and time, its 2-manifold topologies, ∆±4 actions and social planes, by analysing its 10 isomorphic elements, common to all those species.

The 4th line thus is a potential encyclopaedia of all the knowledge of mankind that will be widened by this writer and future researchers on ∆ST, with ever more detailed analysis, as the 10 isomorphisms are a template that can hold all the specific species, properties and laws of all the scales of the Universe. So we study in each of these 4^{th} line post a relative scale of the 5^{th} dimension, and then we shall be filling it with subposts, dedicated to each of the 10 sets of similar laws, which allow to fit all sub-species, events, parts, symmetries, o-points and social relationships of the ‘specific plane and science of reality’ we study. To that aim for the sake of order, we have used not the ∆o-human centered scale of the 2^{nd} line but an order from minimal spatial size and maximal information (the scale of forces) to the Whole Cosmos, and beyond (metaphysical questions and concepts related to the God, the Mind of the Universe):

In the graph, the different science sand scales of the 5th dimension, which classify the species of all stiences with a simple metric: max. Spatial, lineal size = Min. Temporal speed of information (Spe x Tƒ = K); that is the larger beings have slower time clocks and hence less information but more energy than the smaller beings, whose clocks are faster.

Because of the immense size of human knowledge, obviously we cannot pour in our limited time all the relevant information of each science. So the choice will be objective, trying to explain the main laws and speciesof each science, but also subjective, considering those fields and species the author has researched most in the past, and are easier for him to pour in the web. And finally, we will most likely pour an enormous number of new solutions to pending questions of those sciences, thanks to the new understanding of its 3 fundamental elements, and its laws, fractal space, cyclical time and the scalar dimension, whose properties and Generator equations, will be proved ad nauseam for each science and each scale.

**The 10 Isomorphisms.**

Let us make a brief review of the 10 isomorphisms, before we make general review of its application to each scale studied in a post of this 4^{th} line.

*Mind isomorphisms*

The 0 isomorphic post explains the Œ-points or minds, the relative Tƒ-heads/particles with its logic mental mapping that guide the system towards a future through the realization of ‘åctions of space-time’ that absorb energy and information for the system, and emit it reproducing the system and moving it, as they evolve socially into wholes.

The 1st ISOMORPHISM post explains the Generator fractal feedback equation that resumes all 5D space-time knots, which can describe in its formalism all beings.

The 5th isomorphism deals with those scales in terms of the 5 ±∆e,i, §10=û+1 åctions of all beings that move, feed on energy, gauge information, reproduce and evolve socially from the simplest particles to the highest systems is the Finality of the Universe, the Program of existence, the whys and to perform them, all systems do have a point-particle or head or center that gauges that information and commands a body on a field of entropic motion, an Aristotelian unmoved mind, God of its relative world.

Thus we exist and perceive fractal scales of reality because we survive through our exchanges of energy and information with its different fractal points of those scales.

Of all those scales it is obvious that the being strictly exists only in the ∆±1 closer 3 ∆-1 cellular, fractal, ∆ individual, organic and ∆+1 social scales of its parts and wholes.

They are where any super organism develops its cycles of existence, with its inverse ‘entropies’ as information is more abundant in smaller scales and flow upwards and motion-size in larger scales and flows backwards with no entropy: the cellular/atomic ∆-1 scale, the organic, thermodynamic ∆-scale and the ∆+1 gravitational, social scales (biological and physical systems)

So we have according to the åctions entities perform across planes of the 5th dimension, 6 types of fractal points the Œ-beings perceives, as each point deals with pixels of information of the lowest scale, the bites of energy, the cells which construct the system, the individual ego, the society to which it belongs and the world in which it exists.

Those 5 isomorphisms define the being in space, around its Œo mental frame of reference, in a series of nested distances in space, time and the fifth dimension.

So we shall study first all space-time systems with those 5 isomorphisms formalised as partial equations of the Generator equation: its Space organs, time ages, 5D scales and O-points that direct the systems as they embed the consciousness of the whole.

It also embodies the will to survive through those energy and information exchange across scales, which we then can study in its minimal actions of space & time.

*Space isomorphisms*

It is the symmetry of space-time, as all systems have its dual elements.

The 3rd isomorphism deals with symmetries between its internal physiological networks and the external networks of the system.

So we can define internal and eternal Social classes of the being, which develop around its ∆-1 physiological S, ST, T networks, and energy, reproductive, working and informative, neuronal classes of its world, where the being will develop its existence. Whereas the neuronal ∆-1 and informative castes of society are on top of the reproductive, working cellular classes, on top of the energy, and lower classes it ab=uses.

There are 4 fundamental Constants or ratios between the parts of the being, the Se/Tƒ energy density of the system, its inverse, Tƒ/Se information density, the Se=Tƒ, balance that maximizes its existential ‘momentum (Se x Tƒ), which are the internal parameters; and then there are external constants that related the whole being, Œ to the external world also made of 3 Se- field of energy, Tƒ-world of informative cycles and ST- parallel elements with whom it communicates. And finally we shall find a parameter, which humans use to classify each variation as a whole with a constant (mass for particles, charge for fields, IQ for human brains, etc.)

*Time isomorphisms*

The 6th isomorphism deals with the the motions of the being

The 7th isomorphism thus recapitulates and defines each beings as a __world cycle through __the 3±1 ages of Time and its antisymmetry, as those 3 parts of space dominate each sequential age of Time, in motion as Sp>TS>Tƒ.

Next we shall find the 8th isomorphism, of variations of species, based in the dualities of space and time, and the ternary elements of the Generator equation. We call it the eight isomorphism as 2³ =8 but there are several varieties of speciation. For example the gender duality of females (with reproductive, present bodies) and males (with energetic lineal bodies).

On the other hand, there are all kind of |-Energy vs. O-Mass/charge, |-O games in physical systems.

And associated games of tƒ and |s, of relative time motion and space stillness, whereas a cycle-vortex-clock of time contrary to belief does accelerate inwards and so moves faster than a expansive big bang. Indeed, there is a simple vortex law, easily deduced from the Metric of 5D: Vt x Rs =K, hence a smaller radius, Ro has faster speed, Vo; and a clock accelerates inwards, creating a clock vortex of mass or charge (this only Einstein among physicists partially understood with his principle of equivalence between acceleration and mass).

Thus we shall study all kind of differentiations of species according to the relative importance of its heads, bodies and limbs. So predator species are dominant in lineal energy; other species survive by being extremely good at reproduction and others by being more informative. And we will be able, combining dualities and ternary symmetries to classify and account for all species of a single ‘plane of the 5th dimension’ to which we shall add the ternary structure of the 5th dimension, with growth in a single parameter. So there are 3 families of masses and particles, and among those 3 families there are either mesons made with two antisymmetric particles or 3.

*Scale Isomorphisms*

Then we study how all those systems and species evolve socially through nine decametric scales into organic 10-societies that grow from 10º=1 individuals into 10¹=genetic families, and so on till 10¹º elements that form a new plane of existence (quanta of forces for each dimension of space-time, atoms in a DNA molecule, cells in an organism, humans on the planet in which they act as neurons of Gaia, stars in a regular galaxy).

The 10th isomorphism deals with the ∆o±4 scales perceived by a self-centered system as functions of their relative needs of energy and information, from where it absorbs its quanta of entropy=lineal motion, (∆-4), its bits of information for its mental mapping, (∆-3), its bites of energy (∆-2) and within himself, its seminal seeds for reproduction, ∆-1, and cells that support the whole (Œo), itself a cell of a larger species in time or super organism in space, ∆+1, extended in a larger world, ∆+2, part of a perceived cosmos, ∆+3, a mere fraction of the Universe, ∆+4.

And so we shall consider the final structure of the 10 planes of the 5th dimension, the last isomorphism of the Universe, as all relative Uo species relate the parts of its lower U-∆ scales which they use as pixels of informative minds, bites of energy, (bits and quanta in classic scientific terms), cells of its wholes, and are parts of larger wholes. The 10 scales perceived by humans are now ready to study in all its formal details in the 4th encyclopedic line.

And so in the 4th line we use the isomorphisms to study in depth the 10 planes of relative size of the 5th dimension from the smallest force to the largest whole, with those 10 isomorphisms, and connect to the detail all the laws of all sciences with T.Œ. Thus in this 3rd line we introduce each of the 10 isomorphisms of the Universe and put examples from each Plane to show the isomorphic unity of the Universe, as all its species regardless of size and time speed follow the same laws.

Now, we study them in detail in the 3rd line and will be applying them as the method to analyse all the species of the Universe in the 4th line, a future scientific encyclopaedia, where each fundamental scale of reality and its species will be shown in its magnificent architectonical structure as it is created through dualities and ternary symmetries to evolve socially into the next plane of the 5th dimension by the power of love (social organisation through S, ST, T networks), from:

O| forces, into 2. atoms into 3. molecules into 4. matter states, whose s-gas<ST-liquid>T-solid/crystal most perfect structures are 4. cells & 5. organisms and its larger ones are planets, such as 6. Gaia and its ecosystems, including 6.2 History and 6.3 the economic ecosystem; part of the larger world of 7. solar systems, gathering in 8. Galaxies, the fractal points of the 9. Cosmic networks, and beyond, all of them ruled by the i-logic languages of God mind of the Universe.

So yes, the fractal Universe, HAS A PERFECT ORDER, WHERE CHAOS=ENTROPY AND DEATH IS just the end of the world cycle of one of those super organisms, as all of them form a chain of beings, and a causal chain of logic laws.

Let us then consider those 10 isomorphisms in more detail, and see their chained causality, as the 10 isomorphisms study ”partial equations’ of the Generator, and can be related to each other in dual pairs, such as:

The Generator defines in its simple form the duality of space and time (2nd isomorphism) that can be expanded to the symmetries of ternary systems and its super organisms and 3 ages of its world cycles in time (3rd isomorphism), which happen as the integral sum of its actions of exchange of energy and information (4th isomorphism), across the different planes of its 5th dimension from where it absorbs its bits and bites of energy and information, and emit them internally and externally in its larger world (5th isomorphism), making the self-centred point of view to classify its reality according to those actions in 3 internal and 3 external social classes (6th isomorphism), which along the ratios that define those internal structures of the being and its external forces in the world (universal vital constants of the being or 7th isomorphism) define which specific species of reality we are dealing with (8th isomorphism of species), and how those species will gather together into larger societies (9th isomorphisms) which through decametric scales, finally become a whole (10th isomorphism).

A new methodology and language, more advanced than simple Aristotelian, unicausal logic and Euclidean mathematics is needed; a new philosophy of science, organicism, instead of mechanist, digital, abstract models of reality; an emphasis in the qualities more than the quantities; in geometry more than arithmetic; in time functions more than spatial structures; in harmony and balance and feed-back, in dual or multiple flows of communication more than in individual selfishness, in order more than entropy is needed.

To that aim General Systems Sciences follows the ‘ternary method’, as all systems will structure themselves in:

– Continuous ‘space’ through the 3 topologies of a 4-Dimensional Universe, in organs of energy, information, reproduction and a ‘4th’ element, the P.O.V. that integrates the parts into the whole.

– In discontinuous ‘fractal’ scales of size and information through 3 scales, the ‘cellular’, individual and social scales, which will interact with each other.

– In continuous time, through 3±1 ages in which energy (youth), reproduction (maturity) and information (3rd age) will dominate between birth and extinction.

– And in ‘discontinuous time’, through the alternacy of its 3+1 actions of feeding, informing, reproducing and evolving socially.

Let us consider this new method of knowledge to extract all the information relevant to the complex structure of any real system.

The ternary method consists in studying those 3+1 structures that exhaust the knowledge of any Universal system. To notice though the difference between the 3 ‘actions/arrows/dimensions of space’, energy, information and its combination, reproduction, which ‘occupy’ often 3 perpendicular Euclidean dimensions (height=information, length=motion, width= reproduction) and the 4th ‘integrative’ arrow of ‘time’ and social evolution, represented by the point of view, which is also the point that ‘emerges in a bigger scale as the unit that represents the whole. This difference will become essential to understand the differences between 3-dimensional space and time, between determinism and freedom and so on.

**Vital, social nature of timespaces and its ¬Æ-formalism.**

We are made of vital topologies, of bio-topological ternary organs whose functions and forms in time and space follow topological properties but also biological properties as form is function and functions are vital. So as we ascend in the comprehension of the fractal Universe and its ‘simultaneity’, ‘self-similiarity’, and ‘ternary paths of time’, we need also to upgrade each stience of space-time beings, and none is more important than i-logic topology, the Non-æ mathematical upgrading required to see how we vital mathematics moves through creation.

But what is mathematics? the definition of how spatial forms changes through logic transformations, which represent in the full information of the real event a motion permitted in time. And so we can connect the ternary logic of time arrows and the limited logic transformations allowed in mathematics, and if we found by the correspondence principle that one describes the other then both will be the same and vital mathematics will be reality.

**what is not existential logic.**

Existential logic is the final evolution of logic, after the age of simple one-dimensional Aristotelian logic, and the age of dual, taoist, hegelian logic – which does have the ternary logic embedded on it, taking it to its final consequences, as* ‘there is not two without three’*

It does NOT deal directly with the fictions of the mind – where the possibilities of existence as simple temporal beings without ternary co-existence in entropy, energy and information are infinite; but will never transcend from the singularity of the mind ‘moving’ entropy into form.

IT does NOT deal with the chances of existence, in the struggle for its continuation through the exchange of entropy, energy and information, in particular cases, but in the general case of the rules of engagement (third postulate of non-Euclidean geometry).

It does NOT deal with the ego-trips and fantasies, and errors of thought of the humind in its absurd search for existence OUTSIDE of the rules of the game (a case of mind fictions).

It is NOT a mathematical language, though we are going to call its specific application to maths existential algebra, which that lucky guy al-jorizzim, coined with a little book of no importance. It is indeed funny that the only two ‘names’ that might survive from humanity in the future robotic era, Mr. Americo, an impostor who wrote a lewd letter and got the name of a continent for his ‘imaginary feats’ of indian raping and an arab who wrote a compendium of mathematical formulae by other authors and left us the names of algebra and algorithm, which will be the essential ‘names of the mind of computers’, survived the human ego-trips of importance and celebrity.

This tells us something from the start about existential algebra – humans have no idea what makes them survive.

Algebra though is the logic system of mathematics, which develops its structures, with axiomatic rigour but little discrimination, on which structures do exist in reality and which ones are outside, as Einstein quipped ‘I know when maths are truth but not when they are real’

So *we need to add existential algebra to adjust the inflationary state of information of mathematical languages, to better mirror reality.*

It i also not the same than syntax and its universal grammar (here penpal friend chom went a bit hyperbolic) though universal grammar does have a ternary logic. So we could say is the logic of all systems of the Universe and all its languages – the logic of its generator.

As such while it is related mostly to temporal algebra of quantitative numbers in mathematics and the ternary grammar of topological linguistics in verbal, biological thought and systems, it has so much a different out look with the use of the three arrows of time that we have decided to inaugurate yet another new discipline, which deals with the temporal algebra of three arrows of time.

We have not done so with ‘existential topology’, in as much as the knowledge of the three varieties of time-space and the non-euclidean understanding of fractal points is advance enough in classic physics to grant that the expansion of Non-e geometry with the definition of fractal points, waves, topological networks and congruence suffices.

In the case of temporal algebra, we found difficult to adapt modern algebra, despite having many points of understanding underlying group theory and equations operandi. So we shall start a fresh an entire new analysis of the Function of Existence and its isomorphisms and symmetries along its 10 dimensions of space-time and cal it existential algebra.

This rather short definition is deeply meaningful, because unlike other ‘spatial’ definitions concerning the structure of the Universe in space (a theme enclosed in the concept of fractal), the main stress is on the concept of time actions. Hence we are dealing with a Universe NOT made of substances but of actions which are motions with form, with information – the canonical definition of an action, ‘K’=e x t.

Actions are the smallest unit of reality. This is known since Planck founded quantum theory defining light as a sum of actions, made of energy and time – a fact which Einstein also proved for cosmological entities ( E x T is in Einstein’s Relativity the definition of an action.)

So the small and the big are both made of actions. But we are also made of actions in time *performed by our spatial, vital organism, and those actions we perform in time, our ego, is less ‘evident’, visual but far more important and deep for our meaning.*

*And indeed you are made of energy and time too, as when you say ‘I have no energy and time to do this’. *That so common statement is far more meaningful that you have thought. Because that is what you are – not what you see but a series of chained actions with a purpose, in which you spend part of your total time (your life-death cycle being that total) and your energy/body.

But what is an action and what have in common all those actions?

Why we create actions? To survive… To exist, since the very definition of an action (exi) of space-time (st). The parallelism between the mathematical and logical, verbal concept is of course not causal but part of the fractal genetic linguistics of our parallel languages of thought.

In any case it is important to grasp from the beginning that a Universe of actions is not the same that a Universe of static ‘substances’. It is a Universe in perpetual motion, as actions have motion. But it is neither a mindless Universe of pure energy and motion, as actions have also a causal purpose; they have form.

Some Physicists tend to consider that there is a final substance or static form, the fundamental particle. Or they tend to believe that all is motion and energy – entropy.

But you have to combine both, form and motion to get an action. This, Hemingway knew better when he said to Dietrich – ‘don’t confuse motion with action’. Since motions are meaningless, with no form and purpose and so merely dissipate energy.

Actions need both, ‘motion’ (what we shall call here ‘energy’ in a generic manner) and form, in-form-ation, to obtain ‘results’. For example, if you want to change a social system you can do demonstrations, but those are placebo motions, unless the people take over the specific centers of power of a society, its banking, political and military systems, with precise actions, the revolution will fail and motions will just dissipate life and energies. But we shall not consider in this volume socio-biological actions – merely mathematical and physical actions, based in the existence of a whole – the ‘Universe’, which has a spatial structure (it is a ‘fractal’, meaning it is made like a puzzle of smaller self-similar parts) each one performing a series of temporal events (called ‘actions’) – is however complex enough to explain the meaning of it all, including you also a ‘fractal of actions’ of energy and time… or Energy and information (quantum definition). We shall see now that Time and information are synonymous concepts. But time is more accurate since it includes motion. And we shall see that space and energy are also synonymous, but energy is more accurate since it includes motion and *actions have motion. *So what we call space is just the perception of the motions of energy particles in the vacuum as a single sheet without motion (as we see the Earth quiet, even if it moves). This Galilean paradox also applies to information, which is created by clocks of time repeating the same forms and cycles, with a frequency that provides us information.

Thus we could lengthen our previous definition of the Universe: ‘The Universe is a fractal of actions of energy and time’.

But Information is a static way of observing cyclical, formal motions – clocks of time. Information is provided by ‘clocks of time’ that have cyclical forms and frequency, the parameters that carry information (measured by frequencies and repetitive patterns).

So the Universe is a game of multiple forms-in-action, i-nform-ations with energy.

And it follows that time and information are self-similar concepts as time cycles ‘create’ information.

In fact they write either ExT or ExI (Einstein/quantum formulation). So the Universe is a game of two types of ‘actions’, Energy motions and Time motions.

And so we can say that the Universe is a fractal of actions of energy and time. What type of actions of energy and time? Are all those actions the same type of action? No, they are not. Because they are combinations of energy and time, it follows there are 4 possible actions: energetic/feeding actions, informative/gauging actions, reproductive, combined actions, ExI and finally social actions (multiples of a single action either because the same being repeats the action or self-similar beings act together in the same fashion).

So now we have much more information: the Universe is the sum of all the actions of energy and temporal information, performed by all its entities.

But that gives us the key to understand the other word, a ‘fractal’ or rather an ‘organic fractal’, as an organism is defined as an entity that performs 4 actions, feeding on energy, gauging information, reproducing in other region of time and space and evolve socially with other beings.

And so we have this bigger definition:

* *

*‘The Universe is an organic fractal of actions of energy and time.’*

Let us deal with the other ‘part’ of the definition, an organic fractal. The concept of an organic fractal is a complex version of a mathematical fractal, with similar properties. A fractal is a mathematical form defined by a self-generating; feedback equation that reproduces in smaller or bigger scales the same entities.

So does the Universe, which reproduces in smaller and bigger scales waves of self-similar entities that repeat the same 4 dimensional actions we have just mentioned. Indeed, try for a moment to leave aside your self-centered anthropomorphic belief you are the center of reality. You are not and if you look around you will see that all entities from the smallest particles that ‘gauge information’ (definition of quantum theory as a gauge theory), feed on energy (move displaced by a field of energy), reproduce (decouple in similar particles) and evolve socially (form atoms, which aggregate many particles), to the next ‘fractal scales’ of space-time ‘size and duration’ – atoms, molecules, cells and states of matter, organisms and planets, social systems and solar systems, galaxies and Universes…

And so the whole, the Universe – or at least the biggest clear part we can study, the galaxy – and its infinitesimal parts – atoms – and all in between, including life beings, corporations that reproduce machines, cells and black holes can be defined as ‘organic fractals’ that repeat the 4 dimensional actions of a Universe made of two eternal motions, energetic, ‘vital space’ (as energy is merely the perception of space in motion) and time:

∑ Es < x > Ti.

This equation is the key equation of General Systems science or ‘Complexity’, a theory of multiple space-times, which will be to XXI century science what Einstein’s field equations of space-time, Darwin’s theory of temporal evolution, Leibniz’s relational time or Galileo’s definition of time in terms of speed and space, V=s/t have been for the previous centuries of science – the initial, simple equation from where an entire new discipline, more evolved cosmology of it all is derived a theory of…

**Multiple spaces and times**

Now the reader surely will be taken aback by the methodology of this new discipline, which is in fact a ‘science of all sciences’, because:

– The Unifying principle is NOT so much a substance or mathematical equation (though we just wrote its concepts in a mathematical form) but a logic, causal motion, an action.

The Universe is not a mechanism, but an organism (those actions are the very definition of life and so they are called in biology drives of existence – though in physics are described by 4 quantum numbers, in medicine by ‘physiological networks’ and so on).

– And finally because it implies that ‘events’ in time are more important than structures of space, and both are infinite in its numbers.

Those 3 differences: multiplicity of time and spaces vs. single space-time continuum, dominance of time events and actions over spatial structures, which are just the ‘memorial trace’ of those actions and organic nature of the ‘purpose of those actions’, over mechanical behavior, are the key to upgrade the human perception of the Universe.

Let us consider its precedents and importance in this brief introduction.

*Multiple Space-times.*

This book and the series on General Systems Sciences formalizes for the first time in human history, a theory of multiple, relational, infinite spaces and times, as conceived in eastern philosophies, and then in the west, by Leibniz, in his famous letters to Clarke – Newton’s friend.

The Model of General Systems Sciences of these books however goes well beyond Leibniz’s insights as it puts together the 3 main theories of time discovered by human beings worth to mention:

– The single space-time continuum, which becomes a simplified, ‘limit case’ of this wider theory of multiple space-times.

– Relational space-times, as conceived by Leibniz and Eastern philosophies, in which each part of the Universe is a ‘broken’ fractal of the whole, a smaller universe in itself with its own inner cycles of time, performed by its different parts that occupy together a ‘fractal, broken piece of space’. Relational space-time means a fractal Universe made of infinite self-similar beings with a content of ‘vital space’, of energy able to move a knot of cycles of temporal information, often a spherical head/particle that gauges information and directs the whole to perform different actions.

– And Darwin’s theory of evolution of form, of in/form/ation, which establishes the arrow of informative growth, parallel to the passing of time, essential to create order among all those different ‘space-time’ species.

Thus multiple space-times put together physics and biology, the disciplines concerned in greater measure with time, in its two Aristotelian definitions – time as change and motion; either biological, morphological change (Darwin) or translational motion (Einstein, Galileo).

As such the model of multiple space-times according to the Principle of Correspondence has a higher value of truth that those 3 theories it completes and harmonizes.

The existence of multiple time-clocks, found everywhere in the Universe, resurfaces in the thoughts of Einstein, which affirms Leibniz is right and time cycles and time speeds are infinite, but to adapt the present data of science, all measured with a single clock and time-speed to the entire new perspective of a world of multiple clocks and speeds of time (as he found to be the case of the Relative Universe), would be too complex and useless for practical measure. Indeed, since a single space-time suffices to the practical purpose of science – to measure reality and build with those measures technological machines – research and awareness of such theory is not a priority of the praxis of science. Because technology, machines are today more important than science, which means only human knowledge, such theory has never been the goal of big, industrial science, but it is researched by individual scientists in pursuit of a higher goal: pure knowledge.

And yet because it is evident there are infinite clocks in the Universe, from vortices of charge to circadian, stellar cycles, to frequencies of vibration, etc. such theory is sorely needed to fully grasp in depth the meaning and whys of the Universe.

– *Actions and events dominate space. *Time means change and so space is just a ‘present’, static sheet of a flow of time actions that constantly change, evolve, devolve and trans-form that space sheet. So we could say, unlike physicists who spatialize time with its definition in terms of space and speed (T=S/V), that all what you see is time. Space is just a slice, perceived as a simultaneous picture, of the world lines of all the actions taking place in a ‘dharma’ of time. This is what Leibniz called relational time that we shall formalize here through the concept of actions and fractal spaces. Further on, since times are cycles and Jordan proved that a cyclical cord that closes into itself divides the Universe into an inner vital space and an external one, time cycles create the fractal space structure of the Universe.

*– Finally, the most difficult truth of a more complex vision of the Universe is its organic nature, as the 4 actions that combine energy and information are the same than the drives of existence of organisms.*

So we define the Universe as a super-organism in which each part is an organism that attempts to perform the 4 actions. Why? For no reason at all except that those actions allow beings to survive. Indeed, without energy there is no motion, without information, motions are erratic and blind and will end you in the mouth of a predator that will absorb your energy and re-form it into its information, and because accidents happen, without reproduction (internal or external caused by a 3^{rd} enzymatic being) species don’t survive and exist. So even machines must be reproduced by company-mothers in which human ‘enzymes’, ‘enzymen’ make them, and carbohydrates are reproduced by DNA genes and stars by black hole processes and galaxies seem to be born of central black holes’ ejection of matter or by the social evolution of infinite smaller particles… The conclusion is evident. The Universe is a living, organic system because to survive and exist you must perform those 4 actions. And this gives us another particular structure, which is self-repetitive: a complementary being with an energy, lineal, spatial, bigger system (field or body) and a smaller cyclical, informative, temporal system (head or particle).

And so we now can make a shorter definition of it: ‘the Universe is a fractal of time’, since time includes space and time has motion, it is an action, and a fractal self-generates itself, so it is organic.

Or a longer one: ‘The Universe is an organic fractal made of complementary systems of actions of energy and time’, as all physical systems are made of particles and fields (quantum complementarity) and all biological systems have a nucleus of DNA and a body (cells) or a head and a body.

And that’s all what there is to it: an infinite tapestry of body/heads, fields/particles trying to survive by performing feeding body/field actions of energy, gauging head/particle actions of information, reproducing/decoupling in self-similar beings which will make the ‘entity’ immortal or gathering in more social systems, more complex that last longer in time and space and survive better as they have more energy and information, they are ‘top predators’: Max. E xi = ∑ e xi.

As I said General Systems sciences is a Unification theory of all sciences, each one studying a scale of space-time size and duration in which particles, atoms, molecules, cells, organisms, planets, galaxies perform self-similar actions of lineal spatial energy with their bodies and fields of energy and cyclical, informative time, with their heads and particles. This intuitive truth will be here connected and formalized with new tools of logic and mathematics, and put in perspective, deducing from its general laws the laws of most sciences. It IS a fascinating model of reality, far more transcendental for knowledge – the logic explanation of why ‘things happen’ than the present alternative of physics, which hints at those laws only for its restricted ‘scales’ of physical particles. But for you to understand it you must ‘change your chip’ and stop being ‘anthropomorphic’ and realize you share all those properties and so we can explain reality with your ‘vital properties’, since you ARE NOT DIFFERENT from the rest. You can take this as most do, with skepticism to keep your special, fantasy status in the order of things or you can be humble and marvel about that astounding organic fractal and keep reading. If you do so with patience and detail when you end this book you will have changed your chip and upgraded it to a far more complex, richer and explanative vision of it all, including yourself.

Paradoxically it will be more difficult to achieve that upgrading if you are a physicist, even if the entire jargon we use comes mainly from such discipline, because of the ‘ideological’ denial of life as a set of different properties from matter that matter, proper of physicists that want to reduce reality to the mechanical outlook of the instruments it uses to measure it. But I can do nothing about ideologies that pass as science, and so we just hope if you are a physicist that you will put aside those taboos.

** **

0**. ACTIONS OF LINEAL ENERGY AND CYCLICAL TIME**

*The Universe is made of 2 substances: spatial energy and informative time. We can see it with motion as energy and time or as fixed forms, as space and information. We can see it as a single reality, as space and time, or as a multiple quanta, as energy and information. We can differentiate them by form, as space and energy are lineal or planar surfaces and time and information are cyclical. And we can see it together into beings, the simplest of which is an action of light, ext=k. This duality structures all beings of reality. So we are made of cyclical heads and lineal bodies. Weapons are lines that release energy. Informative machines are cyclical, and all physical systems are made of lineal forces and cyclical particles of information. *

* *

* **Nt. As we go into a deeper geometrical analysis of those forms in 4D space the exact shapes of each action will be defined according to topology. So the sphere, often a whole, will be divided into the external energetic surface, a toroid ‘body’ of cyclical ‘actions’ that transfer energy and information to the high, central axis, or informative, hyperbolic center of the sphere, and so on. *

Time and space are like Leibniz thought of them: a sum of different ‘spaces and times’ as each entity that exists has a certain vital space or body of energy that lasts a certain duration of time or life.

This brings a key duality, between Universal, ‘whole’ concepts (space and time) and particular parts (the energies and cycles of information of each part):

If space has motion and it is broken in vital spaces with extension, it is equivalent to a sum of energies. Thus space is made of ∑energies.

And if time is broken in multiple clock cycles, each of them a cyclical trajectory that closes into itself, and we consider each time cycle by its ‘lifespan’ or duration absolute time is equivalent to all the cyclical forms or ‘in/form/ ations’ of the Universe. So time is the sum of all informations, all forms-in-action, all cyclical forms.

Moreover in any 4-dimensional Universe as expressed in the fundamental theorem of knots (Jordan’s theorem), a trivial cycle, traced by a string that closes into itself divides the Universe in an inner and external part. Thus if we call the internal part of the cycle the ‘vital space’ of that cycle or ‘body/field’ of energy, the mere existence of a time cycle will create a complementary entity distinguishable from the Universe – the external cycle and the inner body of the system. And it will cause a fractal Universe, as each informative clock-cycle will become the border between the miniature Universe it encloses and the larger whole.

*The meaning of absolute time: ∑Ti and absolute space ∑Se*

When we add all the informative cycles of all beings and all its ‘vital energies’, we obtain absolute time and space, which ultimately is an error of perception due to the use of a single mechanical clock.

*First approach to the paradox of Galileo: Space is a Maya of moving energy. All is motion.*

The Unit of reality is the action of energy and time, as discovered by Planck: Exi=Constant. Each of those combinations of energy and information, which we can write also in a dynamic way EóTi, is what we call here a space-time cycle. All of them have motion as Energy has motion and a time clock has motion. *So the Universe can be defined as a fractal of actions of energy and time.* The study of those actions, its varieties and differences is thus essential to grasp the Universe of eternal motions in which we live.

The paradox of Galileo – the fact that humans and any system that perceives eliminate motion and create still maps of reality, despite its motion nature – has never been properly understood. Galileo saw the Earth moving mathematically but its senses told him it didn’t move. This still holds in the definitions of standard science of space and information, the ‘still versions’ of the real things, energy and time that together combine to form the exi ‘actions’ units of existence of the fractal Universe.

It is a fact that all moves yet when the brain perceives, to store in its limited vital space, mirror images of all those forms in action, informations, it eliminates motion. And so we see space quiet, as we see the Earth quiet, despite moving along paths of gravitational energy; or your skin quiet despite being made of cellular cycles. Thus we further reduce our knowledge of the parts gathered in a whole that appears as quiet space, with a few motions *that truly matter to the perceiver – of preys, predators and individuals of the same species* – while the rest of reality appears as a continuous space-time, often represented in a continuous Cartesian, mathematical graph. This is natural to the limits of storage of information of any perceiver, because the brain cannot hold all the fractal motions, vital spaces, time durations of the life of all beings. So it reduces information. But this has caused grave errors in human knowledge, as we believe what we see. So science tends to reductionism, considering beings things and ignoring the laws that relate all those scales.

*The inverse properties of spatial energy and temporal information.*

To fully grasp the dynamic transformations and properties of energy and information the most important quality is the inversion of its properties and the possibility to transform the forms of one property into the other.

*Informative time, Ti Vs. Energetic Space, ΣS*** **

Time-clocks:Information Vs. Space motion:Lineal energy

Small, still Vs. Large, moving fast

Tall, Perpendicular Vs. Long, Parallel,

Hierarchical Vs. Democratic

Bidimensional Height Vs. Bidimensional, Length,

Repetition Vs. Width-Growth

Cyclical, Rotation, imploding Vs. Lineal, uncoiling, exploding

Informative Frequency Vs. Lineal Speed

Broken form Vs. Continuous, differentiable

Intelligent, perceptive Vs. Strong, fast.

Social, organic, creative Vs. Darwinian, destructive behavior

Future, evolved predator Vs, Past, energetic victim

Life arrow Vs. Death arrow.

Waves of space Vs. Particles of Time

Female, yin principle Vs. Male, yang principle

Masses, charges Vs. Forces, fields

Heads & senses Vs. Limbs & Bodies.

This resumes in its two fundamental equations: e x I = K, and E<=>I.

*The constant transformation of one into another.*

Despite their inversion, and this is the most important law of the Universe, energy and information constantly transformed into each other. It is the principle of ‘conservation and transformation of energy back and forth into in/form/ation, forms in action’ which becomes the new fundamental law of the 4^{th} paradigm, widening the principle of conservation of energy:

*‘All energies, trans/form constantly back and forth into information, E*<=>*I’*

Thus the Universe is truly an eternal infinite of beats of energy warping into dimensional form, information and informations uncoiling into spatial energy. And since both elements energy and temporal information have motion this is possible as they are truly just the two extreme types of topological motions of the Universe, each one associated to a series of ‘functions’ and ‘perceptions’:

*Energy=Extension=Space= Fast motion = Lineal, planar shapes = Pleasure = Reproduction = Death*

*Information=Implosion=Time=Slow motion=Cyclical ball=Pain =Communication = Evolution = Life*

The infinite balances and combinations of those two fields and its forms are the essence of reality.

*The four actions of energy and time performed by all species.*

Since all is space-time, all is energy and information; all is a sum of complementary entities of energy and information that perform 4 actions in space-time to enhance its survival:

-Energy feeding (e), information or perception of it (i), reproduction that combines both in other surface of space-time (exi) and finally social evolution, ∑exi, which as the reader can see summons up all the other arrows.

We call the composite, reproductive and evolutionary arrows, the complex arrows.

And so we can express all in the synoptic language of science with a simple equation that we call the fractal generator of the Space-time Universe: ∑exi

Since e and i are the two initial variables of reality, the program is self-evident, deduced from them and it proves itself by the experimental method (all is a complementary system of energy and information) and then by the logic of evolution: those 4 space-time arrows encompass and explain all what exists in space-time, and all actions and laws of all sciences, as the are needed to survive.

Some of those sciences need some minor corrections to adapt it to the program, but most don’t; just a translation of jargons. Because of the importance of it, I believe it will start a new paradigm of science, the paradigm of ‘whys’, that would deepen the understanding of the ‘hows’ of the present age of knowledge, based in metric measure.

** ****Generator Equation of SpaceTime fields.**** Vital dimensions: forward bodies & top minds**

*In the graph, the interaction between fields of energy and particles of information, either in Darwinian events in which the most complex form normally absorbs the energy of the bigger one, or in complementary events, which create a stable system of energy and information, explains most events on time and forms of space of the Universe.*

In the graph, taken from more detailed analyses of the interaction of knots of time arrows in their processes of creation of a certain topological plane of existence=organism, we can observe how arrows of time interact, creating flows of energy and information that shape fixed cycles, which seem to us (paradox of Galileo), stable structures that anchor those points of view into a stable region of existence.

The equation that defines those events between energy and information arrows is common to all sciences, known as the *principle of conservation of energy and information*. It explains the 2 simplex Time Arrows of the Universe, which as the graph shows are at the heart of most events of the Universe.

*‘All what exists is a type of energy that trans/forms itself back and forth into a form of in/form/ation’.*

This Law fusions the principle of conservation of energy and information, the 2 main laws of all sciences. We call the creation of energy the arrow of energy, one of the two primary arrows of time in the Universe, or ‘entropy’; and we call the creation of form, the arrow of information, the second primary arrow of time, which in physical space happens in masses under the ‘informing’ force of gravitation that creates ‘bidimensional’ and ‘tridimensional vortices’ of space-time, according to Einstein’s principle of Equivalence between mass and gravitation – hence systems with more formal dimensions than simple, lineal forces; or complex formal 3-dimensional warping in life systems (DNA, protein, dimensional warping which store the complex form of life).

Thus, again we see that systems apparently so different as physical mass or biological molecules do use ‘formal dimensions’ to store the information of their systems; while in other events employ lineal forces and lineal ‘fat’ molecules or lineal limbs to store or display energy. All what exists are processes that create information or entropy or its complex combinations (reproduction and social evolution). Since Reproduction, e xi is born from those simplex arrows, and social evolution follows by the self-organization of self-similar reproduced beings, it follows that the main Law of science is also the proof of the Law of Existence and its 4 arrows. Since this law is the main Principle of all ‘Stiences’:

*‘All entropy becomes trans/formed into information through energy cycles: $*<<=>*I’.*

This can be expressed with a* Feed-back equation of energy and information: * *E*<=>*I or E x I = K (dynamic/ static)*

Since all is Time=Motion=Change and space is just a static slice of time we call *$*<≈>*I *the generator, feed-back equation of Time-space: Those space-time*cycles *generate the events and trajectories of each and every part of the Universe. Where its 4 elements describe the 4 arrows/motions of time:

*S (social evolution) Energy < (Reproduction)> Information.*

Further on, those 4 elements become the parts of all physical or biological systems, when we perceive them in a static ‘dharma’ or moment of ‘present’:

*S (cells/waves) of Energy (bodies/fields) X (particles/heads) of Information =Complementary system.*

Thus the Generator Feed=back equation of Reality also represents the species of the Universe. Its complex study, carried out by General System Stiences, requires the use of Non-Euclidean Geometries to define the topology of each part of those ‘knots of Time Arrows’ that act as ‘reproductive bodies/fields’ and ‘informative heads/particles’ of any exi, complementary system; and the development of a complex causal, ‘non-Aristotelian’ logic to define the order and interactions of those arrows. Since the ‘parts’ of each whole knot of time will have functions defined by the needs of any system to gauge information, absorb energy and reproduce.

It is also clear than in all those organisms the fundamental element, the center of power, is the brain-head and its languages of information, which control the body of energy and shape the form of the organism. They set a selfish dominant time arrow towards the growth of information, which is the ultimate cause of the cycle of life and death of all organisms that end up in a 3^{rd} age of excessive form/information, as they warp all the energy of the system.

This fact also explains the relationship between information and future – the most difficult dimension of time to understand by mechanist science since we do not see the future, as we see spatial geometry with our machines. Yet the future already exists in the realm of complex, bio-logic thought, as we will all warp our energy into information and die; and as a species we will always evolve into more informative beings in the future that will feed on the energy of those entities that don’t evolve and die. Let us then consider those systems of time knots, adding the concept of a causal order between its arrows of time from past to future.* *

The creation and extinction of bidimensional, herds of energetic space and networks of temporal information explains the dynamic events of all scales of existence: As time curves energy, spatial planes acquire informative height and vice versa, the destruction of informative dimensions creates planes of energy. Particles of information are small, spherical forms/cycles, like your eyes and brains or an atom’s proton or a black hole in a galaxy.

They are on top of the system, where perception is ‘higher’ and show convex topologies of maximal form. Bodies of energy are bigger planes or lines that store energy to move the organism, like your body or an energetic weapon, moving forwards in the relative, diffeomorphic dimension of length. And so both, high information and long energy combine to reproduce a system in the z-dimension of width.** **

The Universe has 4 time motions, which perceived in stillness (Galilean Paradox) create the 4 vital dimensions: energy is length; information is height; width, its product, is reproduction and time brings the arrow of organic evolution, as ‘points of view’ organize in bigger social organisms that ‘survive better in time’, because they have more energy and form than the individual cells.

Thus, each of the main time arrows is defined for each local space-time as a diffeomorphic dimension that only reaches till the limits of the organism, but extends its action’ further into the ecosystem or plane of existence in which the organism resides.** **In complex algebra, all this can be modeled with Partial equations of the total function of exi=stence, which define each of those 4 arrows, in a scale of increasing complexity and logic causality:

e, i, exi, ∑e<=>∏i.

R*ecap*: The holographic principle (bidimensional energy and information) allows the constant transformation of energy into form and vice versa, E<=>I, creating the fundamental principle of science, the principle of conservation of Energy and Form: ‘All what exists is energy that trans/forms back and forth into information’. The formalism of those 2 arrows of time gives birth to the generator equation of time, S* E<=>I, which defines all species of the Universe as self-repetitive fractals of energy and form Let US then consider the basic representations of the function of existence, from where most disciplines extract their particular graphs and differential equations.*

**The antisymmetry of temporal information: Death**

A consequence of the 3 ages of time is its antisymmetry as opposed to the bilateral, mirror symmetry of spatial forces: Time is antisymmetric as the old age is the inverse of the young age with the parameters of energy and information inverted. Youth has maximal energy and minimal information while the old age has minimal energy and maximal information. And yet many attitudes and processes might seem self-similar, if the researcher doesn’t know how to differentiate informative and energetic parameters, since those parameters might be quantitatively the same, only that inverted in value. Space is symmetric as left and right reproductions are mirrors of each other with the same parameters of information and energy. This explains why spatial reproduction happens only in the E=I, balanced classic age of the system, when both parameters are identical and a self-similar reproduction of a bilateral, spatial being is possible.

The understanding of the antisymmetry of time vs. the symmetry of spatial processes has wide applications in the solution of questions pending in all fields of research, from the understanding of the temporal, weak, informative force that has no bilateral symmetry to the ‘chiral’ processes of evolution of life forms vs. the symmetric shapes of self-similar left-right, spatial bodies to the meaning of ‘antisymmetric’ gender and the 2 ‘antisymmetric’ sides of the informative brain.

But the most important of all antisymmetries is that of death, which could be considered in the jargon of physics, a ‘local antisymmetry’ of time. Indeed, if life is the arrow of information towards the future e->I, death is the inverted arrow, i->E, that erases form back into energy; but this time travel to the past is always local, affecting only the limited world of the species, so antiparticles are the local antisymmetry of time that kills particles, death are the local antisymmetry that kills life and the big-bang the local antisymmetry that killed a previous Universe. And both directions are different, since ‘death’ lasts min. time and causes a maximal space expansion and life lasts max. time and expands minimally in space. Both balance reality in an eternal present of past to future to past existential fluctuations:

*Life-future: Max. I x Min. E x Death-past: Max. E x Min. I= Immortal present: E=I*

The understanding of that local antisymmetry is the key to resolve problems of physics such as the weak force, why we see less antiparticles or dead people than particles and life people (much longer in time), or the non-evaporation of black holes (as antiparticles are the same than the particle, albeit when moving to the past they seem to co-exist), and so on.

But its implications in biology and philosophy are much larger: we are ultimately ‘back and forth’ vibrations of space-time, virtual existences, dust of space-time that always revert into a zero-sum, which makes the Universe and its game eternal.

*Recap*. Old age has inverted exi parameters to the young age.

**Graphic representations of the 3 rhythms of existence**.

*In the graph, a classic, Taoist representation of the 3 ages of life and its inverse parameters of youth (max. energy) and old age (max Information) represented by the triads of the I Ching, and a modern graph of duality showing those parameters as a semi-cycle, which in certain simple beings like light are in fact both the ages of time of a physical wave and its form in space, as light quanta, h=exi, is indeed both our basic cycle of time and surface of energetic space of which all are made.*

Humans perceive simultaneously the 3 ages of some species too small and fast to differentiate them. As particles in bubble chamber or cars in the night, we see the long time of the species – an entire spiral vortex with the 3 ages of a space-time being. In the next graph, such long world-line, or life-graph is in fact a spiral in terms of spatial population and cyclical speed: The organism looses mass and accelerates inwards its form as it becomes slimmer in space. The first age of the spiral is its energetic mouth that brings in a galaxy the interstellar dust, which will give birth to stars, in the middle, reproductive age and will collapse in the center, the informative black hole:

But any form can be represented in a spiral graph of space-time. For example, the evolution of the FMI complex with its 800-80-8 cycles of increasing informative evolution is an spiral of 3 horizons in a decametric scale: 800 years civilizations, 80 years nations and 8 years ‘decades’, in which the product is evolving faster and now becomes integrated by networks. This 3-horizon evolving ternary network, central to social sciences can be also represented in a spiral of accelerated birth and death of human civilizations destroyed by wars. Any mass or charge is in fact a natural spiral, through which photons and gluons become denser till collapsing in the bigger particle, as interstellar gas does in a galaxy. All those spirals can be seen as equivalent to the world-lines of lineal physics, now world-cycles of a living organism both in time and space, as a whole or as a wave of evolving particles.

The equivalent graph in lineal time will give us a bell curve – the lineal version of a cyclical life-line: The speed of time/information changes during the ages of life, shaping a bell curve, such as the st-1 age is the fastest age of informative evolution, which diminishes in the young age to a halt, when the speed of cellular reproduction and energetic growth becomes maximal, both reach a steady state in the mature age, of e<= >I, rhythmic back and forth beats; and then in the 3^{rd} age energy decelerates first and then information decelerates and collapses till death provokes a maximal explosion of information into energy. Those phases of different speeds of energy and information can be generalized to any system and event that will always go through 3 ages: an accelerated seminal and young age of increase of form and energy, a steady state of constant speed and a decelerated age till the system comes to a halt and the event dies away.

One of the key quantitative elements that connect the 4^{th} and 3^{rd} paradigm of metric measure is the fact that not only each species has a different rhythm of change and clock of time, but the same species changes its time rhythms and speeds through its 3 ages. This feature is fundamental to understand all processes that involve evolution, from the different masses of ‘gravitational vortices’ of information, ruled by the equation of a vortex (V_{t}xR_{s}=k in simplified notation; thus the closer to the center, the faster we rotate, the faster the frequency of information of the vortex and the shorter the space we need to close a frequency cycle), to the evolutionary process of information in this planet, which can be mapped out and its frequency shown to follow a logarithmic process of acceleration, which now reaches its zenith with the creation of informative machines. In that regard we can consider the following ‘speeds of time’ of any event or self-similar ternary topology of energetic youth/membrane, reproductive maturity and informative, 3^{rd} age (toroid center of a system):

*-st-1: Seminal age:* Informative evolution is maximal, since the system occupies minimal space (Black hole paradox: Min. Se=Max.Ti). It is the palingenetic age.

*– Energetic Youth:* Evolution of information decelerates after the ‘landing’ of the species in the higher U-plane. Now acceleration of energy takes place.

*-Reproductive, mature, steady state:* Both energy and information maintain a constant speed in E< =>I feedback cycles, which will last depending on the access of the event to new energy and directional information.

*– 3*^{rd}* age:* Now both energy first and then information follow a decelerated process of collapse; first energy becomes exhausted and then…

– *Death:* Information collapses, exploding into its st-1 scale of cellular energy in a relative zero time (the minimal unit of time of the st-scale). Death is the fastest motion of the Universe.

*Recap*. In physical terms the 3 ages of biological change can be considered the positive, accelerated youth, the reproductive, present age of constant speed, in which humans repeat themselves and the 3^{rd} negative, decelerated age of temporal age, or 3^{rd} age, which ends in death, when the balance of the Universe is restored.

**Universal Constants are ratios of energy and form.**

The previous analysis of the generator equation of the Universe brings an essential element of all formalisms of physics, the meaning of Universal constants and the key complex parameters of science, measures that combine energy and motions such as speed or momentum, which are conserved as complex ‘time arrows’ and show certain constants in each specific species, which are the vital and universal constants of biological and physical, complementary beings.

We thus define Universal constants as ratios between the energy and information systems of a certain ‘space-time membrane’ (the bigger organic structures of the universe, the light membrane and the gravitational membrane, origin of most physical constants), or complementary being (the constants of mass-information, momentum, the social constants that measure the number of particles and field quanta put together to create a physical entity; the vital constants that are ratios and proportions between the energetic reproductive and informative systems of living beings, etc.):

*‘Existential constants are ratios between energy and information parameters of any system. Universal constants measure those ratios in the more extended systems, the membranes of the Universe, its quanta and fundamental particles. Vital constants measure those ratios for specific biological beings.’*

Let us consider the main of those constants:

__Simple, social numerical constants.__

-Social constants of space, which define the number of cells that form an efficient spatial structure. They tend to follow pairs, as 2 is the natural symmetry of left-right of bidimensional space.

– Social constants of time, which define the number of events needed for a transformation or completion of a time cycle; the most common of which is the number 3 of past-energy horizon or youth, present, reproductive state of the event and future, informative state.

– space-time constants, which combine both spatial symmetries and temporal events; Pi belongs to this concept as it is a self-similar number to 3, with ‘small’ apertures between the 3 cyclic elements or phases of the cycle, which taken as a single picture of space-time form the spatial shape of the cycle when perceived in space.

Yet the most important of those numerical constants is the number 10 or tetraktys, the perfect social number that creates a unit of the higher scale with 3 x 3 energetic, reproductive and informative elements, and a 10^{th} central point that ‘emerges’ to become a unit of the next scale.

Among those decametric scales, made famous by Eames in his film ‘potencies of 10’, it is natural to consider the ‘scale of all perfect scales’ S^{t } to be (9-11)^{9-11} systems; that is groups of 9 to 11 spatial units organized in 3×3=9 to 11 scales of growing social complexity. And indeed we find that number to be extremely common to the point that we could consider it the ultimate number of scales of the complex universe between the fractal entities humans perceive (atoms and galaxies, unified in fractal, complex physics as self-similar forms of the quantum, electronic and gravitational, cosmic membrane): We find it as the difference of force between those 2 membranes (electromagnetism is 10^{4×10} times stronger than gravitation). Then 10^{11 }atomic ties make a DNA molecule; 10^{11 }neurons make a brain; 10^{11 }humans have lived in this planet; 10^{11} stars form a galaxy and 10^{11} galaxies make up the cellular Universe.

In that regard, Einstein said that the ultimate Nature of Universal Constants could not be ‘physical values’ but special numbers, which would be ‘relationships’ between substances that constantly appear in Physical equations, ‘like pi and e’. And he was right.

*Existential parameters: reproductive speed and momentum*

On the other hand, the simplest algebraic operations between energy and information parameters become the essential ‘complex parameters of the Universe and all its species’:

*Speed = V=s/t=spatial energy/temporal information.*

Speed is in complex science no longer a mere measure of the translation of a form but in detail, all forms (paradox of Zenon) move not, but reproduce its form, step by step, as a wave of light does. The wave affects a lower scale or network of relative energy, making it to adopt its formal configuration. So form becomes reproduce, imprinted along a previous scale of reality and motion becomes reproduction. Light reproduces over the simple energy of gravitational space and the wave displaces. A wave in the water does the same imprinting one after another the form of the network of atoms and so on. So it follows that the systems which are simpler with less information move faster because they have to imprint less form. And so V=s/o information=infinite, which is the perceived speed of gravitational space whose information we do not perceive, while the more complex life structures move slow as they have to keep its huge amount of stable informative shapes unaltered. And each 3 months we change all our atoms to reshape our form.

So the new parameter should be called ’reproductive speed’ as we consider that motion is a manner of reproduction of form.

*ExI= Momentum or existential force.*

This is the second key ratio of reality which multiplies the energetic and informative strength of the system. In physics is equivalent to momentum, mv where M(i) is a measure of cyclical form, and V(e) a measure of motion, the definition of energy in this work. In biology measures the top predator power of the system which will dominate its ecosystem when it has the strongest energy body and the more intelligent informative brain. And each species will have a certain existential force, reproductive speed and energetic, ∑ and informative ∏ social parameters, which will be its 4 ‘main numbers, needed to define the form (from the quantum numbers of physics to the vital constants of living beings – metabolic constant, brain/body ratio, brain volume, physical strength, etc.)

__Irrational constants.__

Because arrows of time are back and forth transformations of energy into information or its combination to reproduce together a self-similar form, and certain numbers define certain ‘efficient’ social geometries, there are Universal constants, which define for each species of the Universe a given ratio of transformation of energy into form or a reproductive ratio that combines two simpler energetic and informative bits and bites to reproduce a new form (h constant, c-constant, etc.)

The dynamic relationships between the 2 motions of the Universe, energy and information are invariant in form, motion and scale; therefore fluctuating around fixed equilibrium values, which is the ultimate meaning of Universal Constants.

Thus, all of them can be reduced to the generator equation of the Universe, the feed-back cycle of energy and information, from where all laws of reality can be derived:

*Energy <=> Information; ExTi= Irrational Constant*

A Universal constant cannot be a perfect number, because it will create a fixed Universe; thus Universal constants are irrational numbers, which show a minimal fluctuation. Consider for example the main constant of the Universe, pi. If pi were exact then the spiral made with 3’14 lines would not be a vortex but a perfect, static cycle. Yet if pi is either +pi or –pi, the cycle will not close by defect or close in excess. What this means is that the cycle will be a bit more curved inward, and so it will be an informative cycle; or it will be cured outward by defect and so it will be an expansive, energetic spiral.

We know, for example, that the orbits of planets are decreasing by a few centimeters a year, so they will finally fall into the sun. They are, if we consider a dynamic, temporal view of them, inward, informative spirals. Yet an antiparticle, which is exploding information into energy, ‘dying’ in a big-bang that annihilates it, is bending outward.

So irrational numbers are the absolute constants of the basic exchanges and transformations of energy and information of the Universe. The main ones are:

– Pi, the formal constant of creation of in/form/ation. Since pi transforms 3 lines of energy into a ternary cycle with one more dimension of form: a string of 3 lines with 3 dark apertures for a total 0.14. Within those 3 lines there is a 2^{nd} dimension of height, or information and a volume of space. The entity has grown

– Phi, the Golden Ratio, which is the constant of reproduction that multiplies an organic system into self-similar forms.

– e, which is the constant of extinction of form back into a lower scale of energy that devolves a formal being into its cellular subspecies. Its most common ternary form is et=3=20.

We find those constants, both in physical and biological processes related to those transformations of energy and form – showing the fundamental equality of all Universal Systems.

For example, *e* appears in the decay of radioactive atoms that release energy; phi appears in the organization of a sunflower spiral; pi appears in the h-constant of transformation of light flows into electronic actions.

How many Universal constants there are for any system? We advanced 3 basic U.C. at the beginning, pi, the ratio of creation of information, phi, a reproductive ratio and e, an extinctive ratio of destruction of information into energy. And indeed, all systems have at least those 3 basic constants.

__Vital Constants: proportions between brains and bodies.__

A final type of constants expresses quantitative proportions between the reproductive body elements and informative particles/heads of a complementary system. As a general rule the commonest proportions of energy/information are:

– The particle/head of information is dominant in information parameters, (dimensions, mass-weight or number of network connections of the informative system, cellular density, etc.), in a 3 to 1 proportion with the body/field of energy, both in time (so in genetics, the dominant, informative element has a 75% chances and the recessive element, 25% chances); and in space (so the Universe has 76% of dark mass).

– In terms of spatial, energetic parameters however the body is dominant (spatial dimensions, cellular numbers, energy volume etc.) usually in a proportion of 90-80% to 10-20%. This is due to the fact that the informative element tends to be the central 1-element of a body tetraktys, so we have a captain every 10 sergeants and a sergeant every 10 soldiers; 9 glial cells that give energy to every neuron, a 10% of taxes that go to the Middle age Priest, which directs the herd of believers, and so on. Yet another simpler, very common dual structure is a spatial square with a central knot, which gives us a 20% of informative elements (the center) and an 80% of energetic elements (the vertices of the square).

*Recap*. The generator equation of space-time and its 4 main arrows of time, understood as symmetric transformations of energy into information or reproductive combinations of both, coupled with the invariance of topological form, scale and motion of the universe explains for the first time the meaning of universal constants.

**Inverted constants: The chip/black hole/mouse paradox**

The inverted properties of energy and form, shown in the law of Range, apply also to any complementary system of the Universe. So smaller animals have faster metabolic rates because its energy /form cycles are faster. Their ‘clocks of time’, we could say move faster. Further on, in complexity this implies that paradoxically the smaller beings have more information (chip/black hole paradox). So the smaller the chip is the faster it calculates. This paradox is essential to understand the dangers of black holes. Precisely because they are so small they will reproduce faster and accrete faster, in the same manner a smallish virus reproduces much faster and it is more dangerous for an organism than a bigger bacteria.

If we adopt according to Galileo’s paradox a static point of view, universal constants are NOT only algebraic values, but invariant geometries that repeat in all scales of reality. And this is the ultimate meaning of General Relativity, since Einstein made a precise, simultaneous, present measure of the ‘static form’ of those vortices of mass obtaining G as a measure of the relative curvature of the gravitational force in each point of the vortex.

The central concept of a Fractal, scalar relativistic Universe is obvious: the same invariant game, the same forms, the same motions, happen in all the scales of reality. And so the Universe is relative and invariant in its energetic motions (original Theory of Relativity), in its forms (cyclical forms of information and lineal energy) that repeat in all scales, which therefore are also invariant.

We have seen now how that invariance is played as a ‘ratio’, ExTi=K, which allows smaller beings to live shorter but live faster. As we have seen the properties of energy and information are inverted. So the smaller we become the faster we rotate, the faster we live, the faster we beat. For example, we know that a fly sees 10 times faster than a human being, reason why we cannot catch it. Yet the ant who lives longer lives 7 years × 10 times faster=70 years of inner, subjective existence.

The same concept applies to a physical vortex of information, V(t) × R(s)=K than to a living being that processes energy into form (a mouse beats its heart faster than a human; a cell divides and reproduces faster than a mouse, every 24 hours, etc.).

The entire cosmos and all its scales are related by that simple paradox: the smaller we become the more information we process. It is the Moore Law: the smaller the chip the faster it thinks. The reason is obvious: smaller, faster systems, close ‘logic cycles’ of information faster. In complex beings it means faster thoughts in smaller neurons, packed in tighter groups. In the physical world, the bigger rotational motions of cosmic masses are slower than the cyclical rotation of particles, but their product remains constant. And we can write this fundamental law of the Universe, with multiple self-similar applications in any entity made of fractal space-time, again as a general case of the generator equation:

*Universal ExTi = Universal Space Extension × Time-frequency = Constant Entity = K*

An expression, which appears in all scales of reality (Heisenberg Principle, Vital Constants, etc.)

*Recap*. The Universe is just and harmonic: small beings are more intelligent, faster than big ones. It is the paradox of David and Goliath; the paradox of the chip, the paradox of the black hole…

**How to include metric spaces. Topology: informative, energetic and reproductive systems.**

However, according to the Principle of Correspondence, each new wider, more comprehensive model of reality must include all the cases of the model it substitutes. So while a 4-dimensional description of multiple space-times suffices in itself to give meaning to reality, it appears unconnected with the previous paradigm of metric spaces, reason why we must achieve a more detailed analysis of those cycles and give them specific mathematical operations, as to be able to connect them with the 3^{rd} paradigm of metric spaces, its geometries and mathematical algebras. This is done at two levels:

-By describing them with a higher form of geometry, topology.

-And by describing more precisely the 4 arrows of time, subdividing them in more specific types of events and adding precise algebraic operations to each of those cycles.

Let us consider briefly those 2 elements that will be developed in depth in other works.

Some initial precisions though are needed. Today information is not understood as ‘form’ but measured, as it corresponds to the science of metric spaces, since Shannon, by considering frequencies and patterns in one dimension. But here in/form/ation as the name indicates is given by form. So Shannon’s analysis of information is correct but explores only patterns of information in one dimension (such as the information carried by the frequency of a wave). If you have though 2 dimensions you can square the volume of information you can store and transmit. And in 3 dimensions you get a cubic quantity. And so we observe that most complex systems have at least 3 ‘levels’ of complexity in the creation of information. So lineal proteins fold into bidimensional membranes that fold into complex 3 dimensional patterns, which are in fact the active information.

The symbiosis between function and form is evident: The line is the shortest distance/motion and so it is the main form of energetic organs, from cilia, to legs to light fields. The cycle stores the maximal information and so it is the usual organ of information, from cameras, to vowels to eyes.

Yet when we consider more complex topologies of information, we talk of toroid spaces that store information and are basically a complex ‘sum’ of chained cycles, often forming a tube of height, and so your head is at the end of your height and antenna is at the top of height. And height becomes a dimension of information.

When we consider energetic systems, normally they are external membranes that protect with its strength and filter the energy of the external world. And so because they enclose the system, they are normally made of tiles, squares, hexagons that put together cover totally the space; they are a sum of planes even if the total sum might appear sometimes as a spherical form and in topology they are call spheres. Finally the cycles of reproduction are hyperbolic cycles that come and go from the informative center to the energetic membrane, combine both and reproduce the system.

The 3^{rd} type of topology – reproductive topologies that combine the other 2 arrows – become the 3^{rd} complex arrow of time.

Yet if those 2 simplex arrows shall explain it all, we must combine them further, realizing that ‘from 2, yin=information and yang=energy, comes 3’, since ‘the game of existence combines yin and yang into infinite beings’ (Cheng Tzu). Indeed, philosophers have always known that reproduction combines energy and information into self-similar beings. And the 4^{th} paradigm will show how all complementary systems of the Universe, from the simplest particles, quarks and electrons to the more complex, humans and perhaps universes, reproduce their form by combining their energy and informative organs and systems, repeating them in another discontinuous location of space and time.

So there are not only 2 simplex arrows of energy and information but also a complex arrow that combines both, Energy ó Information: the Reproductive arrow. And again, while there are many different ways to achieve that arrow; we observe always that an energetic, lineal, topology (since the line is the shortest distance/motion between two points, the simplest energetic systems are lines, or planes), and an informative topology (since cycles are the perimeters that store more information in lesser space, informative organs, are cyclical) mix to reproduce. So men are lineal in form and are the energetic sex, and human are cyclical and are the more perceptive sex, and both combine to reproduce. Machines are reproduced by humans which are the cyclical, informative component that forms the raw materials or energy to make them. And so on. Because it is an obvious logic consequence of the discontinuity of vital spaces which are finite and the limited length of a time cycle which always ends, that to survive species must reproduce or else its logic form perish.

So the Universe is ultimately an organic system of reproductive systems of energy and information.

Thus, once we establish the 3 topological regions of any system, which is their why we can add more detailed measures and convert each topological space in a specific species of reality connecting the why and the when of the metric paradigm, fulfilling the Principle of Correspondence.

*Recap*. To fulfill the principle of correspondence multiple time-spaces must be able to connect the why of the cycles/arrows of space-time with the precise geometries and algebraic measures of the metric paradigm. The 3 dimensions=arrows=cycles of space are the perpendicular 3 topologies of the Universe: the function/form of energy, the function/form of information and the function that combines them, e xi, of reproduction. Those 3 dimensions define all topological spaces. Absolute space is its sum; it self a Non-Euclidean system

**The generator equation of space-time: 9 dimensionality.**

On the other hand, to be able to connect specific equations of detailed metric analysis with the general equation of the 4 arrows of time we have to descend into an exhaustive detailed analysis of those arrows, dividing them in sub-arrows specific of each discipline and defining those arrows with concrete operations used in metric spaces.

Moreover when we observe things in more detail, we must break reality in multiple subcomponents that assembly wholes in parts, reality become more complex. And this again seems counter-intuitive. Because as set theory shows the whole is simpler than its detailed parts. So if we follow the integrative path from parts into wholes thing simpler and at the end we end with 2 simple concepts, the physical Universal body and its Mind god.

This in the rest of this introduction to multiple space-times, after making a very brief, simplified account of it all in the previous pages, we are going to try a tour de force: to resume it all, which will be latter developed in more extensive lessons, departing from the simplest parts into the whole, by showing you all the arrows of time and topologies of space from the simplest events and geometries to the more complex, from the primordial parts or ‘simplex arrows’ of space-time, into the organisms of reality or ‘complex arrows, and finally into the absolute whole Universal body and mental God, or ‘universal, transcendental arrows of time’.

Those 3 scales, from the simplest actions of abstract spacetime into the complex organisms of vital spacetime till reaching the absolute whole, are the 3 stairs we need to make sense of all. In each of those stairs we shall define 3 arrows of space-time for a total of 9 dimensions and that is all you need to create the Universe: the simplex, complex and transcendental arrows/ cycles/dimensions of all realities.

This is possible to do when we realize that the complex arrows of reproduction and social evolution manifest themselves differently in physical, biological and sociological entities, ‘decoupling’ themselves in ternary events, ‘actions’ that reproduce waves in physical space, ‘palingenetic offspring’ that reproduce biological species and so on. So in the more complex division of the arrows of time, we talk of 3 x 3 cycles/dimensions of space-time, which we group in 3 types:

__Physical, spatial arrows____:__

Physical entities are complementary entities, which:

– I: In its particle state gauge information.

-E: In its wave state feed on energy.

-exi: And together reproduce actions, either by emitting a self-similar fractal part of energy and information, called an ‘action’, used to communicate with other entities (a Universal constant, such as h) or by moving towards a position the particle has gauged. And so we define 3 physical arrows or dimensions of space: gauging information, i; feeding on energy, e, and reproducing actions by combining them, exi. We call them also dimensions of space, because the light-space in which we exist has 3 Euclidean coordinates that correspond to the informative, electric field, the energetic, magnetic field and its product, the reproductive speed of light.

And it is a well-known fact of science (Maxwell equations) that the speed of light can be found by multiplying the magnetic and electric constants of light, thus showing that indeed, the algebraic operandi x connects the why of the simple arrows of space-time in physical entities with the specific equations found in the metric paradigm.

Thus one of the most fascinating facts of the Universe is the fact that departing from 2 simple entities, lineal energies and cyclical informations, which create spatial planes and clocks of time, we can explain it all by combinations, repetitions and transformations of those elements. A further precision though is needed on the difference between classic operandi such as equality and the new, evolved, dynamic operandi of self-similarity proper of multiple space-times in constant transformation; since most people tend to call each thing by a single name and see things in a static manner. So the paradoxical transformations of a reality, which suddenly become its opposite, break their ‘Aristotelian mind’ and one-dimensional perception of space and time.

Consider the famous equation, E=Mc^{2}, which in the so-called Planck notation, where light speed is the unit, writes E=M, and since a mass is an attractive whirl of space-time with a cyclical form, it can be defined in terms of time clocks, or in terms of information, as the fastest it turns, the more informative frequency it has, and the more it attracts, as all whirls and hurricanes do. So, we can write it E=M(Ti) or simply E=Ti.

This is meaningless because Energy is not mass or information but exactly its opposite. Lineal energy though can curl and create mass, especially when it goes at c-speed, its limit of lineal motion and so it deflects the remaining energy into a cyclical form of mass. And vice versa, a mass can uncoil and create energy. So energy can be transformed back and forth into mass and the proper way to write this equation is E<= >M(Ti). And yet our mind prefers the concept of equality. And physicists will tell you that energy and mass are equal. The proper word though is ‘self-similar’ – a word used in fractal geometry, which topologists that observe self-similar beings understand much better. Thus the 4^{th} paradigm is a change of ‘chip’, of state of mind, of the way we think, which makes it so difficult to penetrate, b*ecause the human mind is a simpler structure of thought, more accustomed to fix forms into visual concepts that see the complex, fractal, transformative reality.*

__Social, organic, temporal arrows__

Se<=>(∏=S^{2})i; ∫∂: Most systems however create stronger actions by gathering multiple energetic cells into herds and waves, which create bodies and by gathering multiple informative cells, into complex social networks.

The difference between herds and networks is the degree of communication, since each element of a herd only relates to its neighbors and a network relates to all other elements of the network through a huge number of communicative flows.

This makes necessary to distinguish between the operandi of both types of social groups in a more precise manner that our simplified 4-dimensional equation where we used the sum and multiplicative operandi to represent a wave/herd and a network. Since we want to be able to relate those operandi to specific equations found in the use of metric spaces.

Thus, while we keep the sum symbol for herds, S, we use its square or more precisely its negative square or imaginary number, -S^{2} for information. Further on networks of information such as your neuron normally have a second scale of ‘sub-networks’, which are the flows of communications, or axons that join them to all other elements of the network, and it is easy to prove that if any point is connected to all the other points of the network, as well as to himself, the number of axons of the network will be the negative square of its sum, -S^{2}. The a negative symbol also stresses that the properties of energy and information are inverted; and the organic, informative network absorbs its energy from the body network, subtracting from the total force of the body the energy it requires, as the brain does, without giving back anything but informative orders. Thus informative networks are represented by imaginary numbers, in the complex plane, as it happens with fractal generators that have a real and imaginary term or in the representation of the phase wave of electrons, which have a real number that represents its energy and an informative value represented with imaginary numbers. The same concept applies to the understanding of the equations of special relativity in which the parameter of temporal information is multiplied by a negative square, as light-space contracts the gravitational space in which it draw its forms. Thus again, a more precise algebra of the cycles of energy and information allow us to connect the why of multiple space-time cycles with its detailed description and equations in metric space.

A more sophisticated operandi to study networks is the duality between integration and disintegration (derivative symbol) ∫∂. Let us consider for example, the simplest duality: ∂∑^{2}=2∑.

If we consider a complex system with an informative head, a network of neurons, ∏=∑^{2 }in charge of the limbs and body cells, which tend to be in equilibrium (Re=E), in as much as the energetic system provides the elements to the reproductive system or moves it (being the informative system much smaller in space), then the derivative of ∑^{2}=2∑ means the network will codify with its instructions both the body and the limbs. If the system was simpler – an energetic/information systems, then ∑^{2}(neurons)=∑. This in Theory of Information gives birth to a key law: ‘the number of informative instructions needed to integrate the parts of a system into a whole is the square number of its parts’, with wide applications that range from epigenetics to industrial design.

Thus again we can see how the more general laws of the 4^{th} topological paradigm, when studied in detail give birth to the specific laws of the 3^{rd}, metric paradigm.

Finally both come together into complementary organisms, and combine their body and brain structures to reproduce themselves. And so there are 3 organic arrows: the creation of energetic waves, S; the creation of informative networks, and its combination in reproductive events or organisms, <=>. Where <=> must be substituted by different algebraic operandi depending on what kind of system we describe. So in the example of a phase space of an electron will be a sum, +, but in a Darwinian process in which an informative cellular system or herd of top predators feeds on a field of energy or prey, it could be a division, as the ‘food pie’ is divided into the members of the herd and so on. We thus keep as in the case of topological spaces, a minimal degree of flexibility to be able to accommodate the multiple cases in which an informative network and an energetic herd or reproductive body enter into an act of communication.

Since the processes of organic evolution – the formation of herds and networks and its reproduction – contracts space, tying together individuals into groups, and requires a long period of time, those 3 arrows that need languages of informative communication can be considered to be dominant in time. As indeed, ‘time curves space’, and ‘time evolves the morphology, the form of beings’ (Einstein, Darwin).

__The fractal arrows of multiple-space times__

Finally we can talk of the fractal, transcendental arrows of multiple space-times, which were unknown in the age prior to the scientific revolution and have been looked at with wishful blindness by scientists, due to their dogma of a single clock-time and a single continuum space. They are however self-evident when you change your ‘frame of mind’ and see reality as it is, without those 2 dogmas of mechanist science:

The Universe is made of an infinity of those organisms, which generation after generation repeat themselves in time with small variations; or gather together into super-organisms, so particles evolved into atoms, which evolved into molecules that evolved into cells and planetoids that evolved into organisms and planets and galaxies and the Universe. And so we have 3 more arrows of time to complete the Universe: *the generational arrows* of species that go through a life-death cycle once and again between birth and extinction; *the transcendental arrow *that creates super-organisms with smaller super-organisms; and the *ecosystemic arrow*, which adds all the super-organisms and generations to create entire worlds and the Universe itself, which could be considered an ecosystem of complementary organisms of energy and information.

To represent them with algebraic symbols we shall call the previous equation, Se<=>-S^{2}i, that defines a complementary entity of energy and information, spread in a single space-time ‘membrane’, plane or continuum as X. Then we define:

– ∫∂; e<=>I’; G; e^{g}: *Integration in time of multiple organisms.*

*The generational arrow/cycle *of existence is relatively easy to represent, since all forms that live have a given order: they pass through an energetic youth, Max. E x Min. I, an age of maturity in which the being reproduces by mixing energy and information, e=I, and an informative age, when it warps the rest of its information, Min. E x Max. I. Then in the moment of death the system explodes back, devolving its information into energy. For that reason, we can also use the symbols of integration and its inverse derivative symbol of disintegration. Since ultimately an organism is ruled by the existence of an integrative network in control of its energetic limbs and/or body in complex systems. And for that reason we die when our informative, integrative network or ‘brain’ dies.

Yet those ages are dynamic and so we can use the <=> symbolism, to represent them all, whereas E< is the age of energy, <=> the balanced age and >I the age of information. And consider that the arrow of life is e >I (warping of energy into information) and the arrow of death is I<e, its reversal. Those simple equations in the static and dynamic form will allow us to explain many systems with inverted parameters, such as particles (life arrow of physical species) and antiparticles (death arrow). Thus again we can relate the 4^{th} , why paradigm with specific entities of the metric paradigm. E=I, will become also the equation of beauty, as we perceive naturally beautiful a balanced form of energy and information and since the product exi or action is maximal when e=i, beauty becomes merely the expression of the most efficient, top predator form in which body and brain, energy and form are in balance. Thus again, we can obtain basic equations for fundamental processes of existence never before represented in algebraic form, such as life, death, beauty, top predator or existential force.

Finally we can define the generational arrow as the sum across time of all the generations between the birth of a species or living cycle and its extinction. And so if we call G, the number of generations, any statistician knows since Fibonacci that the function e^{G} is the most common number of reproductive generations that will exist after a number of G generations. And from that simple equation we connect with the extensive field of Volterra equations and other works of metric spaces regarding statistics of populations that will fine-tune the whys we have found in the 4^{th} paradigm of multiple space-times.

According to each specific species and type of analysis we shall use any of those operandi after careful consideration.

– ∑, ∏:* Integration in space of multiple organisms*. *The existential, ecosystemic or world arrow.* Finally if we represent a complex ecosystem as a series of super-organisms and fractal parts integrated into a whole we reach the final goal of explaining it all either within a world or ecosystem or the Universe taken as such. What operandi shall we use for this final arrow? A careful analysis of the interactions happening in each ecosystem will give us a combination of all the previous arrows, as each ecosystem will have herds, networks of interrelated species, top predators with closer social relationships, several planes of existence, etc. So in this final scale of reality it would be preposterous to pretend we have a ‘metric equation’ able to represent all the ecosystems of reality and the absolute. But if we consider two separate terms, one for organisms and territories related as herds and one for those related as networks, we can write, with two ‘enlarged’ symbols of sum and multiplication, which turn out to be merely the more complex operations of derivation and integration:

∑(SE<=>-S^{2}i ) <=> ∏( Se<=>-S^{2}I)

On the other hand, for the mathematically inclined astro-physicist, we shall show in our work on physical spaces that the Universe and its main cellular galaxies, can be studied as an organism made of two networks, one of gravitational information (dark, gravitational energy and dark, quark matter) and herds of electromagnetic spaces (stars, electrons, etc. And so its equation would be self-similar to that of an organic system. On the other hand if we were to calculate the n=st number of total scales of reality we shall see that they seem to tend to infinity and so the equation of the Universe as a fractal organic system would be:

∑(SE<=>-S^{2}i ) <=> ∏( Se<=>-S^{2}I)

Thus we differentiate the body where E is dominant on i and the brain, where I is dominant on e.

– st=n; X^{st=n}: The fractal, transcendental arrow. Where n determines the complexity of the ecosystem across multiple fractal planes of exi=stence: If we consider that each of those super-organisms integrates a series of simpler planes of existence of lesser information, we can use a natural number st=n, to define each scale of reality. Where st=n will represent the number of planes of existence from the simplest organism, a particle or quanta, to the most complex the Universe; and X^{n}, the number of minimal cellular quanta of the system. Again this is easy to see if we consider the most common transcendental number, 10, where a tetraktys of 10 elements give birth to a central point (9+1), which transcends as unit of the next scale. And so a Mongol army had 10 soldiers one of which was a sergeant and 10 sergeants were ruled by a captain and 10 captains by a general, so in 3 scales a general was commanding an army of 10^{n=3}=1000 units.

In that regard the Existential function of the Universe follows also that decametric scale, where n=10, and the total reality, if those decametric scales between atoms and galaxies repeat themselves will have n=∞

Further on, if we integrate together all vital spaces on one side into an absolute space, S and all informative scales in time as an absolute Time, we can simplify the previous equation of st=∞ as a single ST world. So we write:

[∑(SE<=>-S^{2}i ) <=> ∏( Se<=>-S^{2}I)]^{∞ }=S<=>T

Where, the physical, spatial arrows are: e, the arrow of energy; i the arrow of information and x, the arrow of actions and motions.

The organic, temporal arrows are: S, the arrow of energetic waves; S^{2}, the arrow of social networks and ó, the arrow of organisms and reproductions.

And the fractal, transcendental arrows are:

*e** ^{g}*, the generational sum of all the cycles of life (e< or youth, = or maturity and >I or old age) of a species.

X^{st=n}, the product of all its planes of fractal existence.

Yet if we integrate all those life cycles across all its planes of space, we define an ecosystem of which the biggest one is the universe.

And so ∑, ∏, are the symbols of an ecosystem and the organisms of its world, which for n=∞ represents the Universe.

So the single Space continuum of classic science, S, is the sum of all the vital spaces of all its species and ecosystems.

Yet if we consider the evolution of those species across time, we observe that simpler forms evolve into more complex forms, from the initial particles to the complex structures of reality, with the passing of time. So T becomes the sum of all cycles of all systems, chained through organic synchronicities, to give us the absolute time of classic science.

Thus, we can perceive reality as a simplex space-time continuum, a whole, as classic science does, or in more detail as a dual system of energy and information, a 4-Dimensional reality that reproduces and evolves socially those bits and bites, or a series of organic parts and herds, which gather into ecosystems that evolve in bigger scales till reaching the size of a Universe. In that sense, other simplified, valid expressions of the function of existence used in this book will be S<=>T, SxT (dual systems) or ∑Se<=>∏Ti or Exi=st (4-Dimensional ones.)

Needless to say the relativity of perception and measure makes each of us an Island-Universe, which can be described in maximal detail with the 9 arrows, as the scales of the Universe are relatively infinite and so even though normally we shall limit the study of a specific species to n±st=3 planes, we can obtain from most species multiple space-times. So a human could be studied till his atomic detail.

And so we have written departing from its minimal bits and the final generator equation of all realities. Since with those 3 x 3 arrows of spaces-times we can explain it all, the whole, ‘the thoughts of god’, the game of existence, and its ‘imprinted body’, the Universe, or each of its self-similar parts, its details.

Now the meaning of that equation must be clear: it generates all the other equations of the Universe. Consider for example how it implies several operations.

The operator <=> has in fact 2 forms: one dynamic as a flow, < = > and one static as a knot: X. The first one fusions the 3 ages of growth, balance and diminution <, =, >. It means that generation has 3 ages, < = >, and two operations, =, parallelism, when the exchange or transformation is balanced or X, perpendicularity, when the top predator element of the exchanges absorbs all the energy from the other system. Thus we can consider instead of a simple equality, a complex transformation with several phases. If we call each side of the equation E and I, then:

E=I; E<I; I<E = E>I

Each of those phases of the general operator, ó, can diminish, increase or divide the ‘object’. And so we can divide the operator ó into 4 operators: a mere equality, a sum, a division when the information preys on the energy and divides it or a multiplication when it reproduces it as the energy controls it and uses it with its energy to reproduce. These kinds of events that the equation describes are thus the beginning of a fascinating adventure, to generate reality with the combinations and partial equations derived from the generator equation.

Physicists do it basically when considering SxT systems, which we have explained briefly before, and yet that is not so detailed, so we can consider that we can do either 2 dimensional studies (sxt systems), 4-dimensional analyses (E-Re x I x S) where we decouple space into energy and reproduction, limbs and bodies and information between knots of times and flows of social information, languages and networks. This dual decoupling of space and time create a 4 dimensional Universe and 4 dimensional types of equations, of the type: (Se<=>-S^{2}i ) ^{n=st}

These 3 combinations of the cycle are 3 forms in which the parameters of them change by transfer between the element of the left (the herds) and the right (the networks).

The fight between herds and networks though is parallel in E=I and that is the definition of an organism. In the other 2 stages or events there is dominant arrow from the relative predator reproductive, energetic body or informative system.

But many laws of science are ceteris paribus analysis of that equation and/or one of its parts. We just have to consider the generator equation, a group structure with a neutral element, 1. Then we can study only a certain part of it. For example, making n=1, the transcendental arrows disappear; if I or E = 1, we are studying only the energetic or informative part of the system; and so on.

It must be in any case understood once and from all that the equation generate events primarily and those events seen as fixed forms become spatial organisms, but the equation is an equation of time rhythms, given by the st-frequencies of the systems. Let us consider what are the parameters of the equation’s main parts:

– The parameters of E are spatial parameters.

– The parameters of I are temporal parameters.

– This fundamental duality, is thus the 3^{rd} key element to the transformation of a topological algebra as this equation is (where I is a topological space, e is a metric space of energy and <=> is the cyclical exchange space or hyperbolic) into metric spaces. We know that part of that equation is an energy parameter and the other an informative one.

Thus the generator feedback equation allows to connect the metric and relational study of the Universe of multiple spaces and times by ordering all the time cycles= arrows=dimensions, we observe in the Universe, all the repetitive clocks in which a certain ‘non-Euclidean point ‘or Universal entity comes once and again to the same topological space in search of its arrow, as its partial equations and more complex systems as a series of connected equations that represent networks, organic or complementary systems, within a given ecosystem.

In our analysis of geometrical i-logic geometries we shall return to those themes.

*Recap*. 9 arrows of timespace exhaust all Universal events. They are the arrows of energy, information and its complex combinations, the different arrows of social evolution, reproduction and organization in complex, fractal planes of existence, from the simplest atom to the Universe itself: The Universe and all its relative worlds structure in 3 stairs of parts that become wholes. Each one defines a set of 3 arrows of time. Thus, there are 3×3 arrows of space-time: spatial actions of energy and information, exi, organic arrows that create body herds and informative networks, which become organisms, e<=> I and fractal, transcendental arrows that define systems of multiple spacetimes.

**Actions and waves. Physical systems display 4 arrows.**

We consider several levels of analysis of reality, the abstract, metric analysis of simple systems of energy *or* information; the dualist analysis of complementary systems of reproductive energy and information, which combine in motions called actions; and the organic analysis of ternary systems, which add a new, self-reproductive arrow and allow the social evolution of systems in transcendental, new super-organisms.

Most physical, spatial systems are perfectly described with the simpler level of energy and information, complementary systems and its actions -though it is left for further analysis the question of the existence of ternary structures in all physical systems (given the fact that simple particles, electrons and quarks reproduce new particles, when given enough energy).

Since all analyses of reality are meaningful even if they do not consider the complete system and all arrows, we shall deal here with complementary systems that perform, exi, actions. They define the 3 basic arrows of existence: gauging information, feeding on energy and using that energy to move in the direction in which we have gauged information

Thus a system that combines information and energy is always able to create ‘motions’ called action, exi, which are the fundamental unit of physical systems. The simplest of those systems is light space, which happens to be the 3-dimensional membrane we live in.

Indeed what we call vacuum-space, the external reality, is in fact light-space. That is, the vacuum is filled with light, which has 3 perpendicular dimensions: a direction of motion, energy or length, in which light moves; a dimension of information or ‘height’, the electric field; and a dimension of reproductive width; the magnetic field. And so we exist in a spacetime of 3 Euclidean dimensions, filled with light, which makes the dimensions of reality the 3 arrows of spacetime of light, to which we add the social dimension of color, given by the number of photons that come together in a single wave. We are ‘swimming’ in a world of light as a fish swims in a world of water with 3 dimensions occupied by that water.

It is indeed the thesis of this work that what we call ‘lateral motion’ of a wave of energy is always a reproduction of its form, imprinted in the medium; and so we consider that the dimension of magnetism in light is in fact its reproductive dimension: Light follows the path given by an energetic field of gravitation, whose energy it absorbs, imprinting laterally a magnetic ‘body’, over which an electric field carried by the photon is built. And from that simple scheme many properties and equations of light will be deduced and many questions answered (such as the non-existence of ‘magnetic monopoles’, since magnetism does not form an informative particle – the photon – which is an electronic, ‘fractal head’ – or the relationships between the gravitational and electromagnetic field, which fees on it).

At this stage the example of light and its dimensions illustrates a tenant of multiple space-times theory: *all physical systems are also ternary systems with an energetic, informative and reproductive-motion field, made of social quanta. Since waves don’t move (paradox of Zenon) but imprint the medium they travel through with its form, its information, reproducing it.*

The number of dimensions and elements we describe in any system in fact depends on the depth of the analysis. Metric space works basically with 2 or 3 dimensions, as it considers time and space continuous and symmetric (an error, regarding the nature of space, which explains many errors of physics), and ad maximal it adds a 3^{rd} dimension of exi space-time actions. Other sciences, especially biology, go further and analyze 4 dimensions. And that will be the main approach of this introductory work even when describing physical phenomena.

A key set of laws of general systems sciences, which might however make many relationships confuse, are the laws that relate the different actions in space-time of a lower plane of existence and the function they have for the upper scale. We dealt with this theme when studying the synchronicities of systems. Let us consider them now with an example: how the actions of electromagnetic photons, the cellular elements of electrons emerge as different ‘actions’ for the upper scale of the electron.

For example, physicists describe electrons with 4 quantum numbers, which we have translated as the 4 main arrows of times of electronic waves. Yet those arrows in the upper scale of electrons is different from their function for photons; such as *the complex arrows of reproduction and social evolution of the lower scale become the simplex arrows of spatial energy and structural form of the upper scale *:

– Thus, the principal number defines the wave-reproduction of the photons in the lower scale electron, and the energetic body of the electron in the upper scale.

– The secondary number defines the absorption and social evolution of a photon in the lower scale, which feeds the electron, but it defines the structural form, I, of the electron.

– Then the 3^{rd} and 4 numbers of the electron, which regulates its clonic shapes and spin is no longer relevant to the lower photonic scale but it becomes the key element of ‘valence’ in the molecular scale to define the shape and energy of a molecular orbital. There are however many systems that are not complete, often made with an informative, gauging element and an energetic limb, in all systems and disciplines of reality. Or more often there are systems, which become subsystems of a more complex form and perform only a function on this higher reality. For example, a planar field of energy or force might have as light does 3 arrows but it is for a complex atom the field of energy in which the electron reproduces its nebulae; a weapon is a ‘lineal system of metal-energy’, but it comes attached to a human being that ‘gauges’ information, locating the enemy to which it will release the ‘energetic action’ of the weapon; a virus lacks the reproductive systems, but it attaches its informative code to a cell that will reproduce the system. And so we find that some simpler systems need an external, informative or reproductive ‘enzymen’ or ‘enzymes’ to make possible actions with weapons or reproductions of viruses.

And these two essential laws of interrelated multiple times-spaces – the existence of 3 subsystems in all systems or ‘ternary principle’ that allow us to analyze any system in its 3 internal components and the assembly of subsystems as different as a human being and a metal-weapon to enhance the energetic or informative capacity of the whole through symbiotic actions, are key elements to explain how simple systems evolve into complex, organic ones.

*Recap*. If we consider motion, the reproduction of the form of a wave, even the simplest light-space displays 4 arrows, energy, information, physical actions or speed, exi that reproduces the wave and social evolution of color. Electrons also can be described with 4 magnetic numbers, the main reproductive number the secondary, energetic number, the spin number of informative orientation and the magnetic, social number.

**Internal, topologic and external, Euclidean dimensions.**

Another important concept to clarify errors of the metric paradigm is the meaning of ‘internal’ an ‘external dimensions’, where the internal dimensions are the 3 topological functions of a system – its informative, energetic and reproductive topologies – and the external dimensions those of the membrane, medium or ecosystem it inhabits. Thus in all systems we consider 2 types of dimensions:

*-Arrows/Dimensions of external spacetime* (the form described with external, objective parameters):

Length-energy-motion. + Height-information + Width: bilateral reproduction.

Those 3 simple Euclidean dimensions suffice for most external analyses of reality.

-Yet the internal structure of any i=-point requires *3 topologies of 4-Dimensional reality* and its complex shapes called:

-‘Planar sphere’ or ‘Peano line’=membrane, limbs of energy

-‘Cyclical hyperbolic’=Reproductive Body of energy x information

-‘Toroid, warped center’=Informative, multi-cyclical head.

This duality considers the Euclidean dimensions an external description of the being, as it moves through the 3 dimensions of the light-space membrane; and the topological dimensions an internal description of the point in its parts and functions. Consider for example the case of a human being:

-Externally all what we see of a human from far away is a point whose energy *moves him in the direction of length*, but he also has *an informative head on top*, in the dimension of height, and he *has reproduced=repeated his organs bilaterally in the dimension of width*.

– But if we were to switch to an internal description we would find a more complex structure, with:

– A warped brain inside that high head, and an eye, which makes with an enormous number of pixels of information an image of the Universe.

– We find a body, below that head, full of cyclical, reproductive organs that combine energy and form to re=produce the substances of our body.

-And then we find our energetic members (a mixture of fractal, broken lines of energy – our limbs that move us in the length dimension – but put together shape a plane) and the external membrane of our being, which is what topologists called a Riemannian, planar sphere.

And as different as all species of the Universe might seem to us, we will be able to describe them all with those simple topological dimensions, which give us the 3 ‘arrows/cycles/ topological’ dimensions of all vital spacetimes.

The sum of all those internal, topological spaces, moving inside a Euclidean, 3 dimensional space in which they trace cycles in search of energy and information to reproduce themselves is what the 3^{rd} paradigm of metric space puts together into a single space continuum and a single arrow of time; what physicists call absolute space and absolute time. And while the error of a single space continuum it’s a mild error, by reducing time arrows to a single lineal arrow in the direction of motion-energy, scientists, specially physicists spatialize, simplify and reduce time to ‘entropy’, or ‘energy’, what the clock measures. *And that is a huge error*, as we shall see when we correct and resolve the main questions of physics.

We shall call the 3 dimensions of energy limbs that create length motions; of reproductive, wide bodies caused by hyperbolic cycles and of high, informative systems with toroid brains, the 3 external/internal dimensional arrows of reality. Therefore the 3 external dimensions=trajectories =arrows of existence, length=feeding on energy, height= perceiving information and width=reproducing bilaterally, are motivated by the internal needs of the 3 inner regions of a vital being, its topological ‘dimensions/arrows of spacetime’.

Spacetime and Timespace are also dual definitions that explain those external and internal dimensions dominant in ‘energy’ and ‘form’, because none of the arrows/dimensions of reality is pure: all yin has a yang and all yang has a yin. And so even the simplest ‘species’ of the light-membrane, light itself, has an organic structure, as we have just explained.

*Recap*. All beings externally move in a lineal dimension of energetic length; perceive from an advantage point of height and reproduce its systems bilaterally in the dimension of width. Internally all of them occupy a vital space with the 3 topologies of toroid information, cyclical, hyperbolic reproduction and are enclosed by an energetic spherical-planar membrane.

**Social, reproductive, organic Arrows.**

Till now we have dealt with the simplex reality you perceive in an obvious manner: the 3 dimensions of spacetime which correspond to the functions of energy-length, width-reproduction and height-information and are common to all topological beings that float in light-space, made also of those 3 dimensions, albeit with a slightly different orientation (speed-length moves the wave of light and so we consider it its dimension of energy, the high electric field gives its form and has the informative photon on top and the wide, magnetic membrane reproduces it). And all this could be written as a simple generator equation, exi=k or e<=>I, where the 3 terms represent energy (e), information (i) and its reproductive cycles (x for simpler, reproductive actions and motions, and <=> for complex feedback, dynamic exchanges of energy & form).

A more complex description of all this is given by the 3 canonical topologies of the Universe: the toroid, informative, reproductive, hyperbolic and planar, spherical, energetic membrane of which all beings are made.

It would seem that all this suffices to explain most of reality and certainly it is a great jump respect to the mere process of measuring the when and how of metric spaces in a single space-time continuum, where the 3 dimensions of space are abstract, and time is just ‘what a clock measures’.

But there are other phenomena in reality, mainly of social nature, which those 3 arrows do not fully explain.

*Indeed,* because reproduced forms are self-similar forms, reproduced closer to the parental point, (as in a fractal image, where self-similar Mandelbrot sets are pegged to the parental form), when many forms become reproduced in a tight space they come together into networks and make a bigger system, a herd, or superorganism.

And that game defines the arrow of social evolution: self-similar atoms reproduced in a big-bang associated to form bigger entities, planets and stars. Self-similar cells with the same DNA organize in a palingenetic process to recreate a bigger organism. Self-similar ideas or memes created by a prophet reproduce in the minds of believers, creating a religion or civilization. So social evolution, the 4^{th} main arrow of space-time must be always considered to describe all systems – even if it is not an Euclidean dimension, because in light, social evolution appears as color – since all what exists feeds on energy, gauges information, reproduces energy and information and evolves socially.

But how things evolve socially? It is not enough just to enunciate this social arrow. When we study social evolution in more detail, in fact we find the existence of 3 social arrows:

– ∑: many simplex units of energy that we shall call bites, come together into herds, which we represent with the symbol of a summation, ∑.

– ∑^{2}: Many simplex bits of information come together into networks, which we define with the square of a summation, as networks are defined by having a square number of ‘axons’ that communicate its informative points.

– <=>, Re, E <=>: When those 2 systems come together they create a complementary, cellular organism, body or field, which defines cyclical trajectories between the limbs and heads, the particles and energetic membrane.

Thus the body absorbs bites of energy and reproduces cells of the organism; and we represent it with the ó feedback symbol, the arrow of Reproduction, Re, or as it often comes attached with ‘mouths’ that absorb energy or ‘limbs’ that convert energy into motions, with the E<=> symbol.

Thus all together form a complex, dual, cellular superorganism of space-time, ∑ E<=>∑^{2}i=St or exi=st-ential organism.

And so we define 3 social, organic arrows:

-∑: the arrow of social evolution of energy bites into herds.

– ∑^{2}: the arrow of organic evolution of bits of information into networks tied together into a bigger whole – a head/particle that absorbs bits of information, also called ‘pixels’ and stores a memorial, perceptive image/mapping of reality. This network acts a single being, sustaining in each ‘fractal’ cell, the same informative, memorial mapping of reality that allows it to act as a single one, *either internally *(same DNA in the cells of an organism, same book of Revelation in the mind of believers that create a God or subconscious collective, same particles in a bosonic state) or externally (cells that store multiple pixels, coordinated by the network into a single image). This is the most complex, fascinating arrow of existence, or transcendental arrow, because it is the arrow that allows reality to become organic, as it makes from simplex parts a whole that emerges as a unit of a bigger space-time plane of existence. Further on, the arrow that puts together parts into wholes dominates as a whole the herd of cells of the body.

And so we define, a superorganism made of reproductive bodies/waves, limbs or fields of energy and social networks of information, which extends through 3 different spacetimes:

– An external ecosystem of energy (st-1 plane of reality) in…

– Which the limbs move by absorbing external energy and the head or particle gauges information by absorbing that external energy as information; and the body reproduces new cells absorbing both energy and information (st-plane).

– Which transcends as a whole (st+1), thanks to the network of information that controls the entire Organism, becoming a fractal space-time world in itself: *∑ E*<=>∑^{2}*i=St*

*Recap*. The social evolution of herds into body particles gives birth to the arrow of wave evolution; the association of informative cells gives birth to the arrow of network evolution, and both together create ternary, organic systems, which use internal limbs or external fields to feed on energy. Thus a more complex analysis finds that all systems are ternary systems with lineal limbs of energy, reproductive bodies and informative heads, sandwiched between two ±st planes, the smaller st-1 micro-points of energy and information (pixels) and the bigger ecosystem, which only the network of information can observe as a whole that transcends cellular existence (st+1)

**Fractal, Transcendental arrows.**

We call fractal, transcendental arrows to those arrows that go beyond the organism both in time (generational arrow of existence of the being between its creation and extinction) and in space (ecosystemic arrow), *finally evolving together in time and space into a super-organism.*

*Thus simple ‘active’ complementary systems become complex, organic systems, which finally transcend into super-organisms, till reaching in the transcendental scale the biggest super-organism of them all the Universe.*

Indeed, the generation of a being in a life/death cycle will cause a spatial ‘radiation’, as the being multiplies once and again, and so it will create a series of generations in space-time till the *species* becomes extinct. *And so the species can be considered a super-organism with each individual a cells of the system*. And we shall see that indeed, the entire life-span of a species follows also the 3 ages of life and its speciation into ternary species of energy, information and reproduction, and its final evolution into a super-organism or its extinction by a stronger species with more exi=stential action/momentum.

And since there is nothing else that we can say of a being before its creation and after its extinction, the 3 transcendental arrows of generational cycles, reproductive radiations in an ecosystem, and transcendence into a higher super-organism finishes all what we can know of any reality, all what is science, all what exists, all the whys of the 4^{th} paradigm.

-St: And so the 9 arrows together give us the complex generator equation of all events and forms of a certain world, universe, ecosystem, reality or superorganism – its total, absolute spacetime description, EXI.

It is the unification equation, described earlier in greater detail that physicists tried to extract from reality but failed because they tried to do it with metric spaces instead of topological spaces and with a single arrow of time energy or entropy instead of the 3x 3 arrows of reality. We shall often quote that equation in its simplified 4 dimensional structure: E x i=st; and call it the existential function.

You too are generated by that equation.

From that general equation we can then descend to the when of its metric details, since each species absorbs different types of energy and information that define the form and speed of its reproductive and social cycles of time. And so from that higher point of view we can then connect according to the correspondence principle each science and species with its specific space-time cycles/arrows – the details of the thoughts of god.

According to the dominance of those triads of arrows we also classify science in physical, biologic and sociological sciences:

– Most physical entities perform only two complementary cycles, most of its existence. So all particles move but few gauge information beyond a mechanical, geometrical series of action-reaction paths; and this explains why physicists have been concerned only with the arrow of energy and motion and metric spaces to measure the trajectories of all those moving particles. Yet in certain cases those particles decouple, reproduce other particles and form more complex atomic systems, and this moves us to the next science on the ladder of complexity, chemistry, which is more concerned with the repetition=reproduction of molecules and its social evolution.

– As we move further into biological sciences, through the ladder of bio-chemistry, biology and sociology we realize that the arrow of energy becomes secondary and the arrows of information= perception, reproduction and eusocial love that bonds minds into social structures dominates.

– In this we are different from physical structures, which are always dominant in energy and motion and create social networks of extreme simplicity with very few elements and variations – so galaxies which are huge aggregations of stars will turn out to be self-similar to electronic nebulae. And in fact we shall find a fractal equation of unification of quantum electromagnetic forces and macrocosmic gravitational forces based in that self-similarity of structure of the infinitely small and big^{(A,II)}.

So it seems the Universe has 3 different games of existence: – The physical game of self-repetition of spatial energetic structures that evolves into the bio-chemical game of evolution of reproductive, organic structures; which evolves in complex super-organisms and ecosystems.

We are the summit of that second game of existence that evolves the arrows/languages of information, creating social superorganisms, cultures and civilizations. And galaxies are the summit of the expansive game of spatial structures that develops to its limit the arrow of energetic, simple spatial topologies – reason why there is almost as much data about the Universe that about biological structures and even more data about sociological cultures…

*Recap. *The sum of all the generational life-death cycles of an organism, which will be repeated a finite number of times between birth and extinction, and its spatial radiations in an ecosystem, creates the transcendental arrow of super-organisms, which evolves from particles to galaxies reality till creating the absolute space-time field, st, of the Universe.

**@(nti)symmetry of mind languages:**

** ¬Æ Ternary Universal Grammar**

** 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 4**^{th}** 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 4^{th} paradigm^{1}. 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 3^{rd} 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.

**The Philosopher of Science vs. The Physicist. Newton vs. Descartes & Leibniz. The 3 elements of all Systems. ****They think thus they are. The equation of the Linguistic Mind. The difference between worlds and Universe.**

Descartes though was not a simpleton. He was fully aware that what he had in the mind was not the whole Universe, so he expressly stated the fact, differentiating the ‘world’ of a human mind, from the infinite other worlds that exist outside, establishing in his little known book, the ‘world’, this difference, affirming that his ‘Cartesian Frame of reference’, was only that of the human mind:

So he affirmed that the Universe was the sum of infinite mind-worlds, which did not speak necessarily the same languages, and created the same mappings of reality we humans created.

So we shall first define those o-points mathematically, as minds, or fractal, non-Euclidean points, the fundamental unit of the organic Universe, which are crossed by a relative infinite number of parallel forces, which are the bits of information used by each of them to create a mapping, linguistic mirror of the Universe.

‘Infinitesimal self-centered O-Point x ∞ cycles of space-time’ = 0 x ∞ = C-onstant Linguistic Mind mapping of the Universe’.

So each o-point eliminates information from the ∞ beings in existence to reduce its information to an infinitesimal. In the human case, we reduce the 4 dimensions of our plane of existence to 2 dimensions for each eye, eliminating depth and motion to fit all that information in the mind.

So we convert time cycles into forms and they seem solid to us, and we convert vacuum space with entropic motions into lineal distances.

This is the most important property of those points of view – *the capacity they have to reduce the Universe into a mind image, of linguistic nature, which explains the duality between ‘motion perception and form’, as all is motion, either cyclical time motion or space-kinetic energy motions but the mind reduces it to a still image, as Heraclitus or Buddha first realized, considering that the stillness of the Universe is a Maya of the senses.*

THE fundamental reductionism of physical mathematics, soon spread to the understanding of the whole discipline, was the confusion of the Human world represented by the Euclidean geometry of the Cartesian plane, which merely shows the 3 perpendicular dimensions of light space-time, as the only mind-world of the Universe, contradicting the original analysis of Descartes, which precisely introduced the cartesian frame in a book called the world, and affirmed a ‘devil’ had put that mind of the many possible ones on his brain, ‘cogito ergo sum’, in light space-time thus define only the human mind, not the infinite pangeometries and different minds of the Universe.

It is remarkable that of the 4 colossi who founded modern science, the 2 ‘pure physicists’, Galileo and Newton did not understand this obvious truth. While the 2 equal figures, which had however a more mathematical and philosophical background, Descartes and Leibniz, did grasped at once this ultimate fact of the Universe.

*So Descartes*, contemporary of Galileo, and the true founder of modern science with his ‘Method of reasoning’ and the Frame of Reference of the mathematical mind, *said that all what exists was made of:*

*– Open space, which he called ‘res extensa’.*

*– Closed, cyclical times, which he called ‘vortices’*.

And then he added a 3^{rd} element, the final stroke of a genius unparalleled since the times of Aristotle; after realizing that the only proof he had of the existence of those vortices and res extensa was, the fact that he perceived them: *Cogito Ergo Sum. ‘I think therefore I am’.*

*– The mind or 0-point, the relative frame of reference that mapped the ∞ cycles of time of the Universe, reducing them to a ‘World’,* to fit them into the infinitesimal volume of the brain.

**The languages that reduce Universe to still, ternary worlds.**

Thus what is real is the duality of motions, infinite cyclical and lineal motions, which are used by different minds to replicate reality into still minds that map part of those motions to create different worlds.

For example, Computers use O and | to create models of the Universe.

Humans use words also in a ternary symmetry, where the point is the 0-subject, the energy of the point the |-object, over which it enacts a verbal action. So when we say ‘I eat bread’, ‘I’ is the point, ‘bread’ the object of vital space, and ‘eat’ the feeding implosive action. This allowed linguistics to create the Universal Grammar of all languages:

Subject (0-point) < Verb (action: Ø=O x |) > |-Object (Energy of the subject).

On the other hand visual languages are also ternary in colors and forms. So the eyes use lines and cycles to create ‘conic curves’, which are all the curves that exist in Euclidean Geometry and so on.

So we can now extend our definition of reality to include its 3^{rd} elements, which conform a word, whose infinite sum creates the Universe:

*A Constant, Dynamic World is born of the interaction of both formal motions, vital spaces, enclosed by times connected by a mind that measures them: Ø”*

*The Universe is a puzzle *sum of ∞ such Worlds:

*U= ∑ Ø x ∞ = C’*

This is what Descartes explained to the (Human) World, sum of all human minds.

We were all, so to speak, thoughts of God, the Mind of the Universe, understood as the underlying language with the common ‘isomorphic laws’ shared in the construction of all those ‘virtual worlds’, including the human world, since you are not watching the Universe, but the electronic image, your eyes and brain constructs with rods of space, called ‘light-speed’, and cycles of time, called ‘h-quanta’, pieces of lineal and angular momentum that build up the puzzle of your mind.

The point of view thus becomes the essential element of the mathematical mind-world, which will measure geometrically from its perspective, in any of the 3 ternary frames of reference corresponding to the 3 geometries of reality, the cyclical polar frame, the hyperbolic,, and the Toroid planes, the rest of reality.

We thus briefly will introduce the 3 elements of the Universe, its time cycles and motions, its topological ternary spaces, its 5th dimension and then get into the ‘core’ of this post,the development of i-logic geometry and non-se algebra. And the translation of 2000 years of maths into their laws.

But you WILL likely deny all those proofs. Since man is not alien to the paradoxical equation of the mind:

‘Infinitesimal self-centered O-Point x ∞ cycles of space-time’ = 0 x ∞ = C-onstant Linguistic Mind mapping of the Universe’.

Now it is important to notice the survival consequences of *confusing the mind of man with the entire Universe, because it completely shuts off and increases enormously the ego-paradox: *

*“Every infinitesimal point of view confuses his world view with the entire Universe, considering himself the centre of the whole Universe, when it is merely an infinitesimal fractal mind, watching an infinitesimal quantity of the information of reality’.*

This was therefore the immediate effect of the error of Newton and its absolute space-time graph, which has been carried on through Relativity, and its absolute belief that c-speed is the limit of all speeds, space-time a single continuum and reached its paroxysm in modern mathematical physics, where Mr. hawking invented imaginary black holes travelling to the past, string theorists invent 10 up to 500 Universes and so on.

Of all those imaginary creations of the ego-mind of man, the most dangerous needless to say is to consider that the creation of a baby black hole, the most powerful species of the universe here on Earth will poise no risk for mankind because it will ‘obey the imaginary mind’ of Stephen… King? because the outcome will be indeed a terror movie.

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 5^{th} 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 5^{th} 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, (1^{st} person), the Word, (2^{nd} person), became (the mind of) Man, (3^{rd} 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.

**LOGIC LANGUAGES OF TIME **

** 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 encyclopedias 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 Leibniz^{1}), thanks to the work of Frege, Boole, Riemann, Einstein, Poincare, Cantor, Bourbaki, Mandelbrot^{1} 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<=>Tƒ, 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 (Tƒ<=>Sp). 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 – c^{2}t^{2} 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 4^{th} arrow of time.

From a philosophical perspective the study of multiple sequential time (algebra of Multiple Spaces-Times) and multiple, fractal spaces (5 non-Sp 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): S*pace 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 undefined terms 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 4^{th} 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.

** **What mathematicians did was rather a runaway path. Because once geometers realized that multiple lines can cross a point, they could not use any longer the Euclidean definitions.

Now points, lines, planes and equality could no longer hold under the definitions of Euclid (points, lines and planes with no breadth), they remained undefined, when Hilbert, the father of modern mathematics affirmed ‘I imagine lines, points, planes…’.

Instead the proper solution was to redefine them in terms of their ‘inner parts’ as fractal points that grew in size when we observed them with a more detailed ‘hyperbolic geometrical view’, as that unveiled by non-E mathematics.

So T.œ redefines points, planes and line-waves and their relative laws of equality (also called congruence) and continuity (which no longer holds), to refound mathematics on the basis of a far more realist view of its laws as ‘experimental laws’ that reflect the geometry of the 5th dimension and the complex casualty of a world with multiple time motions. And consider that those points with volume form social ‘numbers’, whose laws are therefore related to the laws of the 5th dimension that brings parts into social wholes.** **

**LOGIC LANGUAGES OF TIME **

__ __*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 philosophy^{1}) 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 categories^{4} 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 4^{th} 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 China^{3}.

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 compounds^{4}. 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.

**UNIVERSAL GRAMMAR ≈ GENERATOR EQUATION**

**How language interferes with reality. The Universal Grammar of all languages.**

In Newton’s model there are ‘beings’, whose substance is not considered but reduced to Euclidean ‘points with no volume’ that exist in a background abstract frame of reference, mimetic of the Cartesian graphs Newton used to do its calculus (as if God had drawn a mathematical graph in the ‘**background** of reality’) **independent** of those beings. Thus this model which merely ‘translates’ the linguistic tool of the mind – the Cartesian mathematical graph, and affirms IS reality, is called ‘background independent’ space-time. Yet as there is NO experience of that background (there is no absolute vacuum, vacuum is always ‘something’ that ‘fills’ – ultimately light radiation, or ‘background radiation’, so ultimately space still IS light space), this concept seems to be a basic ERROR of logic thought, expressed by Kant – to confuse REALITY with LANGUAGE.

So in the same manner religions say that the language of time humans use to describe reality with ‘verbs’ is GOD, the reality itself, scientists, specially physicists say that the language we humans use to express reality, mathematics is REALITY itself. This ‘simple’, tautological way to define everything goes in science from Newton’s absolute space-time to quantum interpretations of particles as probabilities.

But it IS wrong – a human linguistic ego-trip, similar to that of Abrahamic religions, where ‘The word thy God became man and inhabited among us’ (Saint John’s 1.1.). And it is also a simple way to give up in the explanation of reality. Reading Newton one notice immediately that because he couldn’t explain what caused gravitation, he came to the conclusion that ‘gravitation’ was a mathematical background space-time. Point. So goes for the quantum masters who could not explain why particles were waves and particles at the same time, and why they could not control them (uncertainty of measure, different behavior in experiments, etc.). So they decided particles and waves were the mathematical tool they used to express them (probabilities).

Knowledge is linguistic knowledge, when after:

- A) finding experimental data.
- B) introducing such data into regular mathematical and logic laws, the languages of space and time.
- C) we create synoptic linguistic models of reality that ‘focus’ the infinite data of the Universe into the ‘finite’ volume of the brain, through the synoptic ‘syntax’ of those languages. Thus we need to go to the basic elements of all linguistic knowledge, and its syntax, to the Universal Grammar of all languages that reflect all events of space-time, such as:

** Λ. ** Tƒ (Time function, informative subject) < operandi≈action≈ verb ≈space & time: ST > Se (space element, object)

This Universal Grammar will be very important to our analysis of minds and languages that perceive the 3 elements of the Universe, space, time and its combinations, and how minds use 3 elements to map out reality (for example 3 colors of spatial energy, red, temporal information, blue, and its active combinations, greens and yellows). But we cannot get now distracted with it. Suffice to notice that all mathematical formulae are F(x) operandi F(y), which tend to be relationships and transformations of vital spaces and time cycles, and all languages have a Universal grammar of subject, object and the verb that mixes them. So in general all is really Space Magnitude < Spacetime transformation > Time cycle, and we will return to that.

So far we write both equations, with the letter Lambda, which in the notation of relational space-time is the letter (not number) for all equations related to Languages. So the Universal grammar of all languages is ternary as it reflects the Universal space-time cycle/event, minimal unit of reality:

**Λ. **Space < Action of space-time > Time.

So the next task is to fully grasp those 2 dualities together: the duality between mind perception in stillness or ‘information’ and a moving reality of vital spaces and time cycles.

And the duality of the 2 geometries of the Universe, cyclical time clocks that close curves into themselves and lineal open motions. Those 2 dualities will give us 4 elements of reality, which will merge into infinite systems: curves with motion or curves with form, and lines with motion and lines with form.

We formalize the ∆ST Universe, thanks to i-logic geometry and existential Algebra – the two sides of its formalism, which complement each other as classic geometry, emphasizing space and classic algebra, emphasizing sequential time logic do.

i-logic geometry thus ads the 4 remaining Non-Euclidean definitions to the 5th, the only one known till date, basis of Relativity.

On the other hand Existential algebra, studies mainly the 3 dimensions of Time; that is the ternary, causal logic of 3 time dimensions and its relationship with its hierarchical, isomorphic organic, evolutionary ‘∆-scales’.

This POST deals with the geometric perspective.

The study of the Generator Equation or Existential Function and its existential algebra deals with its causal, temporal perspective.

And the 3rd formalism of ∆-scales which is organic, vital, is dealt in the analysis of complex super-organisms.

**Symbols of Existential Algebra used to describe the 9+i isomorphisms, social scales and ∆-planes of reality:**

Paraphrasing Einstein, i-logic geometry (space p.o.v.) = existential algebra (time p.o.v.) – give us both, the Thoughts of The Creator – the Generator Equation and ‘Its’ details – every part and event of the Universe, whose laws derive from such ‘Thoughts’:

The 3** ***Arrows/Dimensions of Time: <, >, =.*

**<: I**t** **is the explosive big-bang, death-entropy arrow that defines the creation of spatial energy: O<Sp or past arrow.

** >**

*:*It is the implosive temporal life-order arrow that defines the creation of information: Sp>O.

**=, <=>**: Is the arrow of present, simultaneous exchange of energy and information between 2 poles: Sp<=>O.

In Universal Grammar is the arrow of self-similarity.

The 3 Topologies of Space are represented by letters or ‘geometric symbols’ (O=Es; O=Tƒ: <=>, Ø =Sp X Tƒ):

**– Sp or |:** It is the membrane, energetic part, male pole, 3D spherical topology (in 2, 1D, the plane or line)

**-Tƒ, O:** It’s the zero point, informative part, brain, female pole, 3D hyperbolic topology (in 2, 1D, the vortex, cycle)

**-<=>,Ø, Sp X Tƒ:** It is the body, reproductive part, ‘son’, 3D toroid topology, (in 2D, the cone).

*The 4 Existential åctions: ∆ï, ∆E, ï,œ û; ∑ , ∏: They, and their combinations, define the program of existence.*

–** ∆ï** is the action of information gauging**.** **It** is the 1^{st} Postulate of i-logic, the 1D of information – rotation, cycle.

– ∆**Sp** is the action of Energy feeding**.** It is the 2^{nd} Postulate & the 1^{st} Dimension of Energy – length, motion.

–** ST=Sp X Tƒ **is the action of Bonding that creates complementary systems related to the 3^{rd} Postulate.

– <=> is the action of communication; mostly between 2 points, Sp<=>Tƒ & defines the 2^{nd} Dimension: the wave.

– **∑, ∑û** is the action of social evolution, either reproduction** ∑Sp X Tƒ**, or Herding: **∑ Ei**, creating a 3D, width-plane. And its variety:

**∏, ±∆** is the action of network creation of superorganisms across 3 existential planes: ∆-1 cellular, ∆-organic & ∆+1 social plane through an informative language. It obeys a power law, as T cycles will create Tƒ^{ }axons. Thus: **∏T>Tƒ**

Those symbols define by similarity and combination in sequential sentences/equations all the invariances in space (topological invariances) and Time (causal chains, sequential ages), origin of all the events and forms of reality applicable to all entities of Existence:* ∑Sp _{∆-1}<=>∏Tƒ*.

Such as the Universe allows any combination forwards (>) and backwards (<) or without motion=change (=) in time; any topological combination or transformation between Sp, Tƒ,<=>; any sequential sum of åctions (∆ï, ∆Sp, Sp<ST>Tƒ; ∑, ∏ ±∆ ) and any ∆±2 jump and/or transfer of energy and/or information between planes of existence (as systems co-exist in 3 scales) but *nothing else*.

**The new fundamental scientific principle: The trans-form-ation of energy into form never ceases.**

We call the new principle of conservation of entropy, energy and information, the *Function of existence: exi=st*

*Past entropy x Future Information = Constant, present, conserved Space-Time momentum.*

*Which integrated for the whole worldcycle of the being, gives us the conserved zero-sum energy of the system: Eω≈∫exi=st*

And so we state: ‘Energy is conserved in all zero-sum world cycles, in which a fractal entity, constantly trans-forms between its birth and extinction back and forth entropy into information’.

Yet the maximal truth=information defines a fractal, scalar, moving, dual Universe of ∞ clocks of information, simple knots that enclose ∞ ‘vital spaces’ (Fundamental Knot Theorem) are illustrated with Galileo’s depiction of Saturn’s ‘flat, still, ring’, which are in fact multiple turning clocks in motion with several size scales.

Thus Spaces & Times have inverse, complementary properties that balance each other, in each system, defining the Geo-‘metric’ equation of the 5^{th} dimension that resumes those co-invariances and its derived isomorphisms: SexTƒ=K or Se<=>Tƒ, as energy and in-form-ation trans-form into each other ad eternal.

As quantum physicists proved, space is broken in tiny ‘quanta’ of energy; and as Einstein proved time is made of infinite ‘clocks’, which run in different places of the Universe at different speed.

This was the ‘essence’ of the quantum and Relativity r=evolution that changed for ever the way we understand:

**S**pace, made of**E**nergy quanta: S=∑e …- And Time made of infinite cyclical clocks, which carry the bits of ‘information’ of the Universe in the frequency and form of its cycles: O = ∑T

So we write to abbreviate both concepts, Se and Tƒ, to signify that both really mean the same. Space has energy quanta, and Time cycles are perceived as ‘forms’. For example, we do not see vortices of gravitational forces called masses, but cyclical and spherical forms we call atoms, planets, etc. Einstein taught us they are in fact ‘clock-like’ vortices of mass. And we do not see quanta of energy, but fixed long distances, spaces.

And so these 2 formulae, are another isomorphism of Nature, which we write:

- S=∑e : O = ∑T or in a briefer form: Se > Tƒ

which not coincidentally is very similar to the other isomorphism (and this will be a pattern of Nature, all is very similar, all is rather simple. It becomes complex just by the sheer iteration and combination of its parts).

What does > mean here? Well 2 things, it first means that ‘Spatial energy’ is ‘bigger in size’ than ‘Temporal Information’, since as we said, spatial systems are lineal planes made of long quanta, and temporal clocks of information are cyclical, smaller forms. And indeed your limbs are long and bigger than your heads.

*In the graph, lineal single time is a simplification of the ‘time cycles= clocks’ of the Universe: astrophysical cycles, circadian, biological cycles, social cycles, etc. All those cycles have a length and speed in space that defines its frequency of repetition in time, different for each cycle. Thus, unlike classic 4D science, which equalizes all those cycles with the human time-rod – a second – in 5D we use frequencies as the true measure of each different time clock. *

Further on, time must be defined not only in mathematical languages, but also in logic languages, that define causality between past, present and future. And in this matter physicists are truly out of place, to the point of affirming as hawking does that there is no causality in the Universe, just because they have NEVER learned to use logic languages in their analysis of the EVENTS of reality.

So let us regain this fundamental element for a wider understanding of the Universe with multiple clocks of time.

It was Aristotle who founded logic and established time causality as a fact that relates past and future when Past precedes future. So he also defined time as any event in which we observe change and causality.

And so we define 3 dimensions of time as change, the past->Future dimensions that create a causality, and the Present, in which there is no perceivable change.

This was already understood by Aristotle, who talked of 2 types of time-changes, informative/morphological change, studied by Biology and physical, translational change, studied by Physics. And that duality between ‘changes in the form, the in-form-ation of beings’, and changes in the ‘‘—motions’, the motion of beings’, still stands, defining ‘energetic change’ and ‘informative change’ as two primary modes or *Arrows* of time-change.

Thus there are 2 arrows of time, 2 possible modes of change towards the future: the arrow of ‘—motions’ and the arrow of information, of ‘spatial motion and time’.

*Even if we can see them either as ‘—motions’ (speeds, entropic and energetic motions) as fixed |- form (spatial distances) vs. O-motions (time clocks) also perceived as fixed O-Forms (bidimensional in-form-ation),*

In the graph all systems of the Universe do follow and perceive ‘cycles’ of time that convert into bits of information and move through lineal flows of energy that become ‘spatial steps’.

But it also means that when Spatial Energy transforms itself into Temporal Information it must ‘reduce’ its size: Se > Tƒ, nicely shows graphically’ that an extended line |>° becomes a smaller point up there in the dimension of height.

And so > means also a transformation of ‘spatial energy’ into ‘temporal cyclical form’, and this ‘dynamic change’ that happens everywhere in the Universe and transforms energy into form, it is adequately a type of motion we call the ‘arrow of time information’, the arrow of form, the arrow of ‘future’ (as it happens to be the most common process we shall observe in the quantized Universe: quanta of energy becoming cyclical bits of temporal form). So we define a fundamental motion in the quantized Universe of spatial quanta and informative bits:

- Future arrow of ‘form’: Se > Tƒ, or simply >

Now it follows that the opposite change which also happens everywhere in the Universe, Tƒ < Se, where a form of ‘temporal information.

We call this first isomorphism, ‘*existence*‘, and play with the word exi=st, since in earlier versions of this work we called i, information (an error that might appear still in many abbreviations and equations) but latter we changed it to O, to use i for the isomorphic scales of the Universe. So the 4 ‘elements’ of reality, the ‘quantic, moving’ version, Time Cycles and energy quanta, and its two fixed pegged versions, ‘space’ and ‘form’ or information, are in that word: Ex I = S xT, energy x information = Space x Time. And indeed we perceive fixed forms of information and space, made of multiple quanta of energy and cycles of time.

And so we call the different symmetries and combinations of Se and Tƒ, the ‘Function of Existence’, since to exist is in many ways to occupy a vital space, to live a time duration, and to perceive information and communicate socially with others, using it and to feed on energy, and move with it.

We are made of quanta of energy that become in our ‘scale of size’, space, and we perform cyclical motions that become cycles of time, and we see those cycles of atoms, as fixed matter, of life, as fixed organisms… We exist as beings of energy and time, like when we say, i don’t have energy and time to do this.

We call this the first isomorphism because the ‘3rd element of reality’ is a combination of energy and time, which we iterate, as waves are combination of lines and cycles. So the second isomorphism is that of the 3 2-manifold varieties, not only energy and information systems, but also systems with an intermediate body/wave, which reproduces the system.

**The many faces of Se: ‘—motions’, expansive space, and kinetic energy.**

We shall use here slightly different concepts of those of physicists for such two arrows, but in the search of words to define those 2 elements, ‘—motions’ and kinetic energy are probably the best quantitatively speaking.

In physics, ‘—motions’ is a measure of disorder. But this of course, is just another of those things physicists do worst: philosophy about their formulae. In fact ‘—motions’ is just a parameter they find on the study of the motions of molecules, which established the number of possible ‘lineal vibrations and translations’ through space of a gas. It is thus a good qualitative measure of the expansion of the gas, which ‘creates’ space, of the ‘—motions’ and dimensions of space it will create in its motion filling up that space. And so we like it for the concept of |-Motion (the ultimate |-Se meaning).

Kinetic energy is closely related to ‘—motions’ and it is also a good concept for lineal space. The problem here is that physicists, started to philosophy ‘again’, ts, ts, and expanded this clear cut concept of ‘work’, which is done to move along a lineal path an object or kinetic energy, to include the ‘potential capacity’ of a being to move. That was Aristotelian non-sense. So suddenly they include as another form of energy, the ‘informative form’, the ‘rotary motion’ the ‘information of the Universe’. So they say that masses energy, Sp=Mc2. It is NOT. They simplified with this ‘all-enclosed’ concept of multiple energies that change their form, *everything in the universe and then some. So this all-enclosed energy concept, would be equivalent to our ‘ST’, ‘existential force’, product of the total |-Motion, Se and cyclical motion, Tƒ of the system: Se x Tƒ = Physicists’ energy.*

When we talk of ‘—motions’ here we mean kinetic energy, alone.

Kinetic energy in that sense, would be the capacity to transfer expansive motions in lineal space, communicated through ‘work≈energy’ along the path of a |-Motion: W= F x L x cos.

Physicists try to get more ‘meaning’ to those 2 words, energy and ‘—motions’, which is required, in their attempts to construct a Universe with only one arrow of time (‘—motions’ energy precisely). This is ridiculous and a huge source of errors in our understanding of reality.

We try here to limit to the ‘spatial parameters’ which dominate both concepts, and eliminate the silly-nilly philosophical arguments of physical philosophers, a profession for which they are not well endowed. ‘—motions’ does NOT mean disorder and death but merely the number of possible vectorial orientations of motion in lineal space, which is normally 3 ‘degrees of freedom’ (3 relative arrows of space) for all entropic, expansive molecular motions (where ‘—motions’ was well defined), and 5, 6, 7 degrees of freedom in a specific molecular space with complex molecules. As ‘—motions’ expanded to explain many things it should not attempt to explain all this jargon specific of the analysis of kinetic energy in gaseous states, with 3 freedoms became a philosophical statement about the whole Universe and all its parts.

Basically ‘—motions’ is thus the 3 dimensional expansive space motions of young gaseous states for all planes of existence of the Universe, inverse to the arrow of informative motion, and parallel, time vortices which structure the other tendency of the Universe, and both are balanced in the wave-body motions and relative parameters that create most present enduring systems.

As such space-|-Motion-kinetic energy becomes a dimension of Time, its first expansive age. And so a fundamental quality of ∆ST theory is to reverse the ‘trend’ of physicists that spatialize time, as a lineal dimension of space.

In true form time is all and space a ‘slice’ of the flow of time, specifically, the expansive, entropic dimension of time, opposed to the…. arrow of information, which increases form, the arrow of biology and evolution.

AND both together form bodies/waves in a dynamic constant, reproductive form. So we write now the metric of the 5th dimension as an equation of 3 time arrows:

*Se (Entropic arrow, expansive motion, young big bang age)*

*< Repetitive wave, Se x Tƒ= ST >*

*Tƒ (Informative vortex, 3rd warping time age).*

Of the 3 arrows of time, needless to say the most important is the present repetitive wave, which balances information from the relative ‘future planes’ and ‘—motions’ from the relative, simpler, past, larger entropic motion of space. And the rules that create those repetitive body/waves in balance with the Universe.

Thus the ternary equation of the 3 arrows of time is also essential to expand our understanding of the Universe.

**The inverse properties of spatial energy and temporal information**

The Universe is made of 2 substances: spatial energy and informative time. Space can be seen as a whole fixed space or as a sum of multiple parts, many ‘vital spaces’ composed of ‘quantum energies’ enclosed by time cycles: ∑ Sp = S. Time also can be measured with a single ‘human’, lineal clock-time, based in our ‘minimal bit of information’, the second with our mechanical clocks or as an infinite number of cycles that all entities trace, each one with a different speed and rhythm, each one with a different ‘form’ or information, provided by the shape of the cycle and its ‘frequency’. So Space is synonymous of Energies and time of informations: * S; ∑o=T*

Indeed, now that we have ‘exploded’ Time into infinite cycles of information T=∑Tƒ, and space into infinite vital spaces enclosed by those ‘informative perimeters’, S=∑e, the new knowledge consists in organizing them as the universe do and find the laws that structure them.

– By spatial energy we mean 2 parallel concepts, perceived in different ways: Static *space that defines size. *It is the ‘continuous’, static perception of all the infinite quanta of moving energies of the vacuum put together, such as S=∑Sp. As space distances and speed motions mean the same. So astronomers say that the space of the Universe is ‘expanding’ or that galaxies are moving away at hyper luminal speeds (Z>c).

– Temporal information are 2 parallel concepts, also perceived differently. Since a bit of information or ‘hertz’ is completed in any system when a clock cycle is closed. Thus, the faster any biological or physical time-clock turns, the more informative hertz-cycles it can store, (right side of graph). As it happens in computers, which are basically a complex system of time clocks, whose logic forms process in-form-ation. Thus we can consider the total time of the Universe, a sum of all the time clocks and informative cycles of the Universe.

We can see them together creating beings, the simplest of which is an action of light, SxT=k. Informative machines and particles of information are cyclical, and all physical energetic systems are made of lineal planes of forces.

Weapons are lines that release energy. And this duality structures all beings of the Universe: So we are made of cyclical heads and lineal bodies.

They Se and Tƒ can be seen ‘fixed’ with no time motion as form, or as a frequency in time with no form.

*This simple sentence resumes the concept of ‘relational space-time’. A Universe of beings made of vita space with motion, with energy, which performs clock-like time cycles, åctions of exchange and reproduction of energy and information, used to reproduce and evolve socially systems and its parts in networks and bigger wholes.*

Tƒ exi=st, to act, ∂ST/∂æ,e,ï,œ,û, to create and participate in Universals – this is the stuff of what life is made.

Now the reader will rise its eye-brow. A program common to all species? Indeed, a quantifiable, but ultimately a biological, qualitative program of existence, a philosophical program of survival. A why for all beings. This of course, most scientists will reject without testing. But this is an error of the science of measure, and the loss of perspective in the ultimate search.

Perhaps the biggest sin of classic physics has been like in the fable of the fox and the grapes of Esopus, its pretentious dismissal of the findings and avenues opened by those who seek for the whys, which they cannot reach with the limited tools of measure. This has enormously limited their future progress and that of most sciences who look at them as the higher popes.

Since those whys do exist, are rather simple to find, but require a slight change of perspective from the models of ‘absolute space-time’ and ‘only measure’ questions of ‘simplex physics’, into a more comprehensive alternative model of space and time, called relational space-time, foreseen by Leibniz, the true forgotten genius of scientific thought. In that regard, the scorn of the scientific Fox today seems as human scientists become just mere attachments of computer models of reality which further enhance the measure as the meaning of it all.

**The new fundamental scientific principle: The trans-form-ation of entropy into form never ceases.**

Further on because now time and space are both motions, it is possible to transform one into the other,* by changing their form*, which is the true meaning of the Principle of Conservation of Energy and Information:

* ‘All what exists are systems of energy and in/form/ation that trans/form into each other ad eternal: Sp < = >Tƒ’.*

**A case example: mass and energy transformations.**

Another event explained by the 2 universal motions=forms is the equation Sp=Mc2, in which lineal energy becomes in-form-ation – a mass clock: when energy reaches its c-speed limit and keeps absorbing energy from a field (i.e. a synchrotron) the new energy is deviated into a higher dimension of information, creating a mass vortex, which will increase its rotational acceleration=mass=(equivalence principle).

__The Measure of time cycles: frequency.__

Each clock creates a discontinuous space-time, whose cyclical perimeter of in-form-ation encloses a piece of energetic space breaking reality into ∞ formal patterns; different time cycles with specific forms and frequencies. Thus the use of a single human clock that equalizes all of them misses 2 features of each of those time cycles:

– Its specific forms of in-form-ation in space.

– Its different speeds or frequencies. Since cyclical time is measured not by duration but by frequency, its inverse function: ƒ(t)=1/T.

– The temporal nature of masses and charges, which are not substances but vortices of time, clocks of the 2 main physical scales of the Universe – the quantum, electromagnetic and cosmological, gravitational scales. Masses and charges *are defined in 5D by the frequency of its vortices that determines *its force* or attractive power.*

They are also the first units of in/form/ation.

Thus, each mass and charge and its ‘Universal constants’ are invariant functions of their vortex frequency:

Sp=Mc2 + Sp=Hv -> Mc2=Hƒ-> M= (H/c2)ƒ->M=Kƒ.

Masses are thus vortices of time and the faster they turn, and the smaller they are the more attractive are, as hurricanes are… being the black hole of c-speed of rotation, and smallish size the strongest clock of time of the Universe:

In the graph, masses and charges are accelerated vortices of time, ‘equivalent’ to inward, informative, cyclical motions, one of the two fundamental elements of the Universe.

** 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 ∂æ,e,ï,œ,û åctions 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 (åctions) > 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 4 ^{th} 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.

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’: ∑Sp**<=>**∏Tƒ. 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 (Sp) and information (I) between both type of networks, (∑, ∏).

*The symbol *∑(Sp) means that body systems are loose sums of cellular herds that only relate to their neighbors. ∏(Tƒ) 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 4^{th} paradigm^{1}. 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’.

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: Sp**<=>Tƒ**.

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 3^{rd} 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.

__ __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 ‘metric’, that is a regime of similarity across all its extension that allows motions in that dimension.

Thus the metric of the 5^{th} 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 metric, but ‘any number of them’, co-existing simultaneously along a local domain of the 5^{th} 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 åctions 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 åctions) > 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 åctions. 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 åctions:

Tƒ feed on energy, max. e, to gauge information, Max. Tƒ, to reproduce, combining both, Sp X Tƒ, and finally, to gather socially with similar Sp X Tƒ 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, (1^{st} person), the Word, (2^{nd} person), became (the mind of) Man, (3^{rd} 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 (∆ST 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) > Sp (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 åctions 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: Sp=Mc2, written in Planck’s notation as Sp=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. Sp 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 information and energy whose rules based in simultaneity and the duality of space-time arrows, (Sp<=>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, (Sp>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 åctions, 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 Sp<=>T, space-time field equation as:

*Past=Energy < Present: åctions 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, Sp, 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, (Sp); 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, Sp, maturity, SxT 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 ST 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 more ST 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 åctions 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 (Sp) <joined by a neck to an > Informative Head (Tƒ).

So in Biology, the Quantic Spaces-Times equation, Sp<=>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 Sp<=>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 < Boson 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, ∆-1 (spatial cardinal scale), where it will move and be absorbed by another similar particle evolving the ∆-1 system into a collapsed cell of the ∆-particle that receives the communication. Thus for example: *

*∆-Fermion < ∆-1 Boson with energy and information > ∆-Fermion *

Is the fundamental equation of quantum physics which implies a transfer of energy and information between two ∆-fermions by means of a boson of a lower scale, which will collapse when reaching the ∆-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 Sp=Mc^{2}, the energy stored in 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 ∆ST: *the understanding of fundamental operandi of mathematics such as derivatives which is normally an emergence of an ∆-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 ∆-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 4^{th} 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’.

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: Sp<=>Tƒ.

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 ∆-planes of scientific species, guided by the metric 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 åctions of its organisms that try to maximize its existence, increasing its energy its information, reproducing and evolving socially, ∆Se X Tƒ.

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 metric, and its dimensional elements, space time and planes of existence: * The isomorphism of its topological spatial organic parts, its time ages and its åctions across those multiple planes. *

Tƒ do though a better detailed analysis of those planes, we subdivide the 3 main isomorphisms of spatial topologies time ages and plane åctions 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, T) 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, Sp<=>Tƒ) theory.

The Trinity Mystery would be a D3 (∑Sp∆-1<=> Tƒ), analysis, and Beethoven’s 9 symphony, a D9 (Sx,y,z; Sp<=>Tƒ, 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(Tƒ), 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. Sp=Bass sound’ to ‘Max. Tƒ=Treble sound’, the Sp-I parameters or ‘past-future’ dimensions of time perception in music.

This D3(Sp,TS,Tƒ), 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 ST=Beat, Sp=Bass and Tƒ=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 ∆ST 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 ∆ST 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 ∆ST 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 ∆ST 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 åctions’ of the Individual brings the creation of the game?

As all systems follow a simple will, expressed in that equation: ∑Sp<=>Tƒ, they try to become social wholes (∑), they try to feed on energy (Sp), they try to absorb information (Tƒ) 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 1^{st} 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 ∆-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 2^{nd} 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 4^{th} 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 4^{th} 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 3^{rd }paradigm of metric measure those social groups were described merely in its external properties. The 4^{th} 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 (2^{nd} postulate), according to a set of laws based in their self-similarity, no longer equality (3^{rd}postulate), 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 isomorphisms of the Universe.**

All those relationships and dualities, will create a Universe, which is isomorphic and co-invariant across all the scales of the 5^{th} dimension. And so to further analyze in detail all the systems, we establish 10 type of isomorphic laws in all realities, in all scales:

– 1. The isomorphism of the duality of space and time (formal motions sometimes perceived as fixed space and fixed information and sometimes perceived as moving energy-speed and moving cyclical time clocks).

This isomorphism basically defines the Function of Existence of any being, the first step to understand it, in terms of its two dual elements, space≈ energy and time≈information. From where all other elements of the being will be deduced.

-2. The isomorphism of the 3 varieties of bidimensional space that assemble into organic, ternary systems, Se<ST>Tƒ

In mathematical terms it can be considered the integration of the function of existence along space..

– 3. The isomorphism of the 3 ages of time, the energetic young age, the reproductive adult age and the informative 3^{rd} age, Se<ST>Tƒ

The isomorphism defines the worldcycle of the being between birth and extinction. In mathematical terms it can be considered the integration of the function of existence along time.

-4. The isomorphism of the U±4 scales of the 5^{th} dimension, with whom each species exchange energy and information through:

– 5. The isomorphism of the 5 åctions of existence, ∂ (æ,e,ï,œ,û) coded by ±4 ∆-topologic elements: ∆U±4: ∂a; ∆U±3=∂i; ∆U±2=∂e; ∆U±1=o; ∆U+1=∫u

We use the derivative symbol for the 3 first åctions, which imply an exchange of energy and information between the U being and smaller quanta, the equality symbol for the reproduction of a clonic being, and the integration symbol for the social åctions, which the being realizes as part of a bigger whole.

Which are the fundamental sets of QUALITATIVE laws derived of the nature of scalar space-time.

They give birth to 5 secondary isomorphic, QUANTITATIVE, laws, which complete the study of any variety of the Universe:

-6. The isomorphism of the 6 social classes, which studies the relationship of any given ∆-fractal point with all the elements of its scalar space-time world, such as we all systems have a close organic world, made of the U±1 closer scales, our cellular/atomic/lower, organic/middle and social/cosmic/upper scales (biological, physical, social jargons), which make together an organic society, and U±>2 further scales, our territory or relative Universe, from where we obtain quanta of energy and bits of information.

– 7. The isomorphism of the 7 Universal, Vital constants of any systems, that quantifies the relationships of an internal space-time being, its ratios of exchange of energy and information and quantitative relationships with the external Universe.

-8. The isomorphism of the 8=2×4=2^{3 }varieties of a system, which allow us to differentiate subspecies according to the ternary principle of differentiation into energetic, reproductive and informative systems, the gender duality of spatial/male dominant and informative/female dominant systems and the 4 ‘coding numbers’ of a space-time variety.

This isomorphism is essential to reality, as all systems are fractal systems, which can further be subdivided in 3 parts, 2 gender regions and 4-5 coding åctions.

That is, if we take any part, for example, the spherical Tƒ-head, we can divide it roughly by half into the lower energetic part (mouth-chin that absorbs energy) and the upper informative part (brain). We can then take the brain and divide it into 3 ternary parts, the cerebrum, or Tƒ informative part, the cerebellum, the lineal Se part, responsible for motion, and the inner region (thalamus, hypothalamus, etc.) responsible for the ‘exi’ existential, emotional part that balances and carries the will of action. And then again, we can divide each of those into 3 parts in 5D new diminishing scales, which will be ordered into 3 x 3 + 1 decametric groups (so neurons form part of circuits that create maps, and those 3 elements then come into 3 larger ‘sets’ and so on). Which lead us to:

– 9. The isomorphism of the 9 DECAMETRIC scales, which create a Universal plane, as similar clones associate into bigger wholes. So So=individual, S1=family, S2=clan, S3=tribe, S4=village and so on evolves humans into global civilizations. Till S10 billion beings creates a Universal organism.

– 10, The isomorphism of Universal Planes, which is a logarithmic scale of 10^{10} social scales that create the Universal planes between quantum forces and Universal dark energies that repeat the Universe, from U=U=o=invisible gravitation U=1 electromagnetic Forces, 2=atoms, 3=molecules, 4, 5=states of matter, 6= planets, 7=stars, 8=galaxies, 9=Local Cosmos, 10=Invisible Universe.

So the quantitative isomorphisms are along the translation of the 3 fundamental elements of the Existential Function into classic mathematical physics: Existential Momentum, its derivative, existential forces/åctions and its integration, existential worldcycle (energy-information quantity and its dynamic transformation) the main connection between relational space-time and classic science based in quantitative absolute space-time.

This is needless to say REQUIRED for relational space-time to become hard-science, as we have to follow the Principle of Correspondence, and enclose the previous simpler absolute space-time theory within the larger theory of fractal space-time. in the same manner the 4D formalism becomes the analysis of the single light space-time Island Universe of a galaxy, enclosed in the larger formalism of 5D infinite immortal scales.

We have kept though for the end, my favorite isomorphism:

0- The isomorphism of the zero Mind, which is the center of the program of existence, defined by the 5 survival åctions that all systems, mechanically, vegetative or consciously perform to survive or else becomes extinguished.

Each of those isomorphisms are defined by an equation which represents a differential, partial equation derived from the Universal generator. For example, the equation of any mind is derived from the topology of the Tƒ, informative bidimensional spherical membrane, according to the Poincare Conjecture that proves only a sphere can shrink without deformation ad infinitum, thus mapping out an infinite external Universe in an infinitesimal focus, as crystals, eyes, and CPUs do: O (zero-point) x ∞ World = Constant mapping mind. And so on.

Thus we again find the unification of qualitative and quantitative properties of reality, thanks to the connection between external and internal absolute and relative space-times.

And we observe an infinite pantheist Universe under the same laws.

## WORLDCYCLES: TRAVELS THROUGH 5 D

*‘Existence’ both in physical and biological systems can be described as a travel through the 5th dimension, since all systems are born as a seed of maximal information and minimal size, which ‘surfaces’ into a higher scale of space-time, after birth, then develops through life, changing the relative proportions of energy and information of the system, till its death, when the system will regress to its ‘cellular’ or atomic scale, giving origin to the ‘invariance’ of life ages and the structure of ±i-superorganisms, proper of all space-times, parts of the Universe.*

*The metric equation of the 5th dimension explains the life and death cycle as a travel BETWEEN 2 limits of the 5th dimension, the lower scale of maximal information in which we are born as a seed and the social scale in which we co-exist with similar beings. *

To fully understand this equation, *Energy x Information = K-Constant, we write* the equation as a dynamic balance, so we write: *Energy < = > Information. *As there is a constant feedback and transformation of energy into form to keep that equality in balance.

And so we define 2 kinds of death, as the 2 possible imbalances of that equation:

– An imbalance of Max. ‘—motions’ x Min. Information, which ends up in 0 information and an explosion of energy that disintegrates the while into its parts. This is a big-bang death, which is what Physicists, ignorant of the 5th dimension are subconsciously making in its Nuclear Labs, seeking for black holes… instead of upgrading their minds to the beauty of the 5D Universe…

The whole breaks as Energy is an expansive, entropic arrow of time, and so it becomes its parts. For example in a nuclear explosion, it becomes radiation and particles that explode in all directions. It is also the most common form of accidental death, proper of the first age of life, the age of energy or youth, when information is minimal and motion is maximal.

– And Max. Information x Min. ‘—motions’. This is the normal, 3rd age death by excess of warping. Finally the body wrinkles all its energy into form, in/form/ation and the being collapses with zero energy and dies, liberating also the whole in its parts that will feed a new life and form.

Yet if we develop the equation as a simple series that follow the arrow of ‘complexity’ and growth of form of the Universe:

– Youth = Max. E x Min. O; Maturity: E= O and old age: Max. O x Min. E, we observe that between the first ‘age’ of the equation, or youth, when we maximize energy, and the last age of the equation or 3rd age, when we maximize information, there is an the age of balance, or reproduction, the classic age of the being that maximizes survival: E= O.

*And this is the age the Universe and all its wise parts prefer. The one that lasts longer in time:*

The graphs show the fundamental world cycle of 3 ages that most systems of the Universe follow. Specially when we integrate a ‘short action’ into a knot of time cycles transiting the 5th dimension in a worldcyle of life and extinction.

** The limits of infinity**

Relativity infinity, as all infinitesimals have a limit in the scale and boundary of its space-time system, but its mind tries to reach the absolute; and as all infinities can be on the positive or on the null, 0≈∞, is one of the fundamental most fascinating themes of GST; fully embedded into the structure of the fractal Universe. This post will deal with infinity and its many aspects. As they care at the core of the paradoxical structure of the Universe, and its parts.

To stress that as many other aspects of modern stience, humans have gone too far in their ‘formalism’ on infinities provoking, the errors so common in modern formulations of infinity such as those of cantor, which we already discussed on the chapters dedicated to the upgrading of mathematical formalisms.

Let us then start as usual from the zeroes and infinities of the mind, first perceiver that initiates all contact with reality.

**Mind and languages**

If you think of infinity, ∞, as the mind and infinity as two eyes, **:**, put together, the mind believe to be infinite, but is really nothing but a zero mind, O, the mouth below the eyes : -0,

A terrified twisted infinity of imaginative eyes over a big zero mouth that syphons energy, everything is energy, nothing, but then it twists into form, into 2 parts of information and becomes everything, _ breaks into — according to the yang yin duality and it feels to be more because it has broken itself into two :-0

**ST-ACTIONS, WORLDCYCLES AND 5D SOCIAL EVOLUTION**

How the Universe jumpts between those 3 levels of length? Through integration that enlarges the system in space and slows down in time.

Hence the importance of mathematical analysis as the 3rd leg of the Universe and its formalism, mathematics, along the geometry of space and the time, sequential algebra.

Thus the operations of integration and derivation, makes emerge in an upper scale the physical action.

Now the simplest actions of motion are derivatives of the previous scales which emerge in the higher scale. And we can talk basically of two type of operations:

∂U-4=V-3; ∂V-3=a-2 This simple chain describes the meaning of physical actions. The gravitational scale of the ∆-4 perceived as distant space, gives part of its distance by deviating it in time, emerging as speed in the light-space, atomic scale, which gives part of its speed, by emerging in the upper molecular scale as acceleration and temperature. *So physical parameters are the elements perceived in the actions that emerge between scales.*

But those are ‘pure’ actions of motion, in the spatial dimensions of those lower scales.

We though by the Galilean paradox consider the Sp duality (space perception as pure distance, motion and acceleration, or complex perception as energy).

And so we have also the e-perception of those basic actions, which accordingly is symmetric.

∂E-4=momentum(∆-3); ∂p (momentum)∆-3 = mass (∆-2).

Thus again we observe that the ultimate energy of reality (stored in the distance of strings of gravitational forces, where S≈E, that is strings energy is equivalent to its length), emerges as momentum in the atomic scale and emerges as mass in the upper scales of matter. And so we define also *the main parameters of physics related to the complex energy-mass duality (perception in detail of the components of those scales) in terms of actions.*

The derivatives are also immediate: Energy =1/2Mv², and if we derivate considering V=X, the variable, we obtain the momentum of an atomic particle: ∂x²=2x.

Thus ∂E=mv=p. And again now if we derivate mv, considering v the variable, V=X, ∂p=m.

And we associate S≈E, V≈p and a=m. As we shall see in the specific analysis of the meaning of mass,* *mass is considered a vortex of accelerated gravitational form. And this is one of the many parallel ways to deduce this fact. Since GiST, the reader should start to understand is a fascinating perfectly symmetric complex structure of a beauty, order and balance that defies awe…

Despite the fundamental inversion of Space and Time that mean, spatial and time are dislocated in those ages and only each harmony in the relative moment of present:

If we consider the 2 different arrows of space and time:

Time Frequency

And Space S, often well represented with a complex coordinates

(where Time is the root, or rather X the polynomial of the root):

Speed: V=l(s) x ƒ(t)

Space- Energy

Then we can observe some properties: the maximal value of the function will be in the relative (0.0) of balance of all forces.

This condition is similar to that of a Hamiltonian function of 3 minima: a standing point, a maximal and a minimal, and for that reason so many actions can be described with those functions.

We are though at this stage more interested in the properties of those Products of two inverted functions which give us a constant value – what the Universe which ultimately conserves its quantity of motion and time to a full zero sum than in its quantitative measure.

Dimensions to start with are different, time-information have dimensions of width and height, respect to the length dimension of motion, so we read upfront tall planes of information in screenland eyes see ‘laminar flows of information’ coming from light.

Motion dimensions however have 2 variables, space and speed which often can be exchangeable (in stop and go motions and wave reproductions).

In less geometric, more logic≈ causal time cycles, whose discontinuities of motion (as the species changes sequentially jumping from action to action) the causal logic of this combination is obvious, it amounts for the total momentum of internal space and time-speed, as l x ƒ can be interpreted as a fair measure of the Sp x Tƒ of the system, its ‘Top’ (predator force), which can be read also as Tƒ x P(mv)… The top≈ spin ≈ angular momentum ≈ existential action, is thus the unit of the space-time Universe.

We can go lower deriving it into infinitesimal forces, impulses, and that would be truly the infinitesimal of existence, or we can integrate them along a single or up to 5 variables into a complex worldcycle, in which Energy varies into information (potential energy and internal rotary energy in terms of classic physics), through all the existence of the being.

Actions on the other hand tend to be functions derived in space, across the ST±∆ planes of existence; while energies and information variations will be observed in time in sequential form.

As: ‘Time dimensions are added sequentially from past to future, and have appoint of inflexion, from positive to negative values for a total zero point, which is the point of end of the existence’.

Now the study of a time cycle is much more interested as a new unchartered territory for science. Essentially a time cycle can be calculated its ending point by calculating its 2^{nd} derivative that must be zero. The standing point ends the cycle.

Time is tall, the dimension of information, form of the cycle is upwards, and so it is parallel to height or information, and indeed as you read you do so from your high position head, on a screen with height, paper or computer.

Motion is long, the relative frontal dimension, and so it is ength, or past. And we trace it always ahead, in the line of minimal potential gradient.

And its combination through vectorial products is the width, reproductive dimension of present, parallel to us in the same space-time.

This ternary symmetry s one of the fundamental tools to understand the space-time motions of the Universe and its harmonic forms.

They are forms in motion, both space and time.

And now we can consider that through their natural symmetry space-time 3 varieties of bidimensional motion and form, is the true element of study of most sciences.

As single space (pure energy with no form) and single time (pure form with no energy), systems are invisible to us. We thus consider the limits of pure space and pure time, if we observe them in motion as:

Space (>c-speed), Time (0 K), which are the limits of the human function of light space-time, but not necessarily the limits of the Universe. And in physical sciences we will deal with this fact in great extension.

Let us now study in greater depth the symmetry between:

Length-space-entropy-past-expansion, planar-fields-limbs

Height-time-information-future-order-spherical heads/particles

Width-spacetime-present-reproduction-wave/body:

Thus since there are only 3 topological varieties of 2-manifolds, the evolution and organization of systems is restricted to those 3 ‘diffeomorphic’ organs, which become the 3 components of all systems: STe<ST>sTo, themselves symmetric to the 3 ages/dimensions of time (entropic, past fields/limbs; repetitive waves/bodies and future informative heads/particles, which become the logic, future guidance of the system).

Thus the symmetries of space and time explain the bidimensionality of such system and have multiple applications in all forms of nature (2^{nd}≈3^{rd} isomorphic space-time symmetry).

The example shows how rich in meanings and explanations of reality is the complex version of relational space-time embedded in those isomorphisms, which are the second, advanced course of this web on relational space-time (3^{rd} and 4^{th} lines that study them in detail and then each fundamental species of the Universe through those equal laws).

The simplest description of any of those points is a ‘space-time, cyclical action.’ We thus upgrade a notch beyond the simplest point, the unit of creation, to the next level, that of the point (whatever it is in a lower St scale), which is a point performing a cyclical action of space-time – a cycle. This cyclical form can adopt different forms. If we see it completed in space it will always be a cycle – for example, if we consider that you dinner all days, you will very likely feed on your home and we could perceive your ∂e cycle of energy feeding as a cycle in space that closes after your ‘worldline’ moves around.

This would be though a silly geometrical analysis of your ∂e action. And yet you will be tracing a cycle. You will also between your ∂e actions perform other cycles of ∂o-bserver’s perception, ∂a accelerations and perhaps even a serial cycle of ∂i reproduction, or one of caring of your offspring, most likely social actions of work, ∂u, related to your upper u+1 plane of existence, and in doing so, you will live your day ‘creating a complex knot’ of time cycles, the next ‘unit’ of reality ∑ ∂ (o,a,e,i,u).

This general equation, ∫∂a,e,I,o,u, which will be a mathematical partial differential equation of 5 variables, is certainly impossible to solve and describe for a human being. *Since we do have a language, verbal thought, much more proper to describe the biological drives of existence, or complex actions of the Human being. *

It might though make sense to explain for very simple particles, in which *the symmetry between space dimensions and time ages, of space-time cycles is very close, as we see its fast motions in time, ‘drawn’ as particles and rays and waves of space.*

*It is the realm of quantum physics and matter, where we perceive actions of space-time not in their whys but in their hows, and so we can describe them geometrically. *

When we describe an ∂a,e, I complex motion of a planet around the sun, in which the planet, guided by its magnetic field, orientates itself into an elliptic path around the sun, to absorb from its gravitational field, a minimal gradient of potential energy, a physicist will never dare as we do explain those 3 cycles in a vital way.

But it will do so using mathematical, simple equations, F=GmM/r², which is the ‘derivative’ of change of existential momentum of the planet, and so on.

Now in general the 3 fundamental concepts of physics, are momentum, A(scalar active magnitude) x V (speed in space-time), which is equivalent to the product of internal and external space-time, hence the fundamental ‘balanced’, conserved quantity, equivalent to the function of existence of a physical being:

‘Function of existence of physical systems’ ≈ Active Magnitude Momentum or Existential Momentum, which will obviously differ in each scale.

For example, Mass x Speed, Mv, is the momentum in the physical scales of gravitation or mass momentum; J or I, density or intensity of an electric current, qev(S), is the charge momentum of an electric current, whereas density, the product of the active scalar magnitude (charge: qxe) and its speed (v), multiplied by a bidimensional cross-surface (current disk: S), measures the same.

This function of physical existence, ‘momentum’, ‘p≈mv’, then can be integrated, along a path or time duration, in which it performs certain actions, ∫p dt or ∫p dl and it will give us a series of integrative magnitudes of which energy-work is the most important.

Or it can be derived to obtain a single impulse, a single action, in which such momentum is spent, and we will obtain the Force.

Momentum though in a closed system will be conserved for all the points of that system and so while each physical system-point will try to increase its momentum for the whole ‘world’ existing in a given field of space-time, the momentum will be conserved. This is expressed by the conservation of the internal time (angular momentum), internal space (lineal momentum), total space-time momentum (energy) of the sum of all systems.

And all what physicists do is to calculate those basic functions of physical systems WITHOUT understanding what they are, why they are conserved, what are the purpose of the actions of those systems. Because they treat those systems as abstract points without form.

Thus in general, when we deal with a mathematical formulation of relational, internal space-time in a physical Universe, we must add to the ‘geometry of points without parts’ (visual spatial description: geometry, topology) or algebraic description of those actions (analysis, algebra, arithmetic) the *whys.*

*Since* while mathematical physics is describing the external motions and actions of the being, from a mere geometric external space-time perspective, as a visual description with quantitative numbers of those actions, they have a ‘why’ – the program, function of existence of the being.

The why is not so clear to humans from our far-away, anthropomorphic perspective that only accepts the existence of the program for living beings (mixed with myths and fantasies of human freedom etc.)

So the fundamental contribution of 5D metric to physical systems, is NOT only to upgrade the space-time structure of reality, making it scalar and discontinuous, but also to give it existential content.

And so we will here also use the 2 main mathematical descriptions of the actions of existence, performed by species of the Universe, including the physical species:

– The complex geometry of Non-Aristotelian, cyclical times, and its non-Euclidean fractal knots or points with parts, the i-logic geometry of existential points, which implies to upgrade the postulates of Euclidean Geometry, and the simple uni-causal logic of Aristotle.

– The algebra and analysis of mathematical physics, adding the whys of its laws, and transforming the worldlines (which make sense only in the continuous motion between two frequencies of an ∂a,e,I,o,u action), into worldcycles through the use of existential algebra.

Non-Euclidean, Non-Aristotelian i-logic Geometry and the whys of existential algebra, which describe the existential momentum, energy, force and conservation laws and symmetries of space-time, and the active, scalar magnitudes and space and time parameters of physical systems, thus will convert present physical sciences into a full T.O.E. where the vital meanings of all physical systems are understood.

This will allow us to develop then the 3^{rd} upgrading of physical systems:

– The organic, biological description of the Universe and its parts, as systems which interact between several 0±∆ social scales, creating organic structures that range from the ‘galacell’, the galaxy as an organic similar systems to that of a cell, ruled by DNA-black holes and mitochondrial stars, to the atom (which physically is equivalent in parameters on the 5^{th} dimension to the galacell, hence probably if we could perceive in detail is inner structure of partons, quarks, gluons, photonic nebulae, etc., would discover a very complex organization.

Now this 3 new levels of understanding of physical systems, made of POINTS WITH PARTS, which perform cyclical, existential actions of SPACETIME, as parts of organic wholes, can also be applied to biological systems in which instead of the atom or particle or star/black hole, the point with parts is the cell or organism, and to sociological systems, in which the point with parts is a human head/mind.

But those 2 other great fields of biological and social sciences, do not require so much a quantitative, geometric description (which we will however perform) but humans address them with enough complexity through the use of its own jargons.

**The method of study of ∆ST species. **

The methodology of ∆ST is simple. Reality is made of space-time beings, which are in full description of all its information a super organism with 3 topological organs in space, which perform 3 temporal functions, symmetric to their form (past-lineal entropy limbs/fields, cyclical informative heads/particles and iterative, hyperbolic wave-bodies). Such is the basis of the generator equation of space-time, which resumes the 3 x 3 symmetries of all beings:

The universe and its Fractal generator can be described as a game of 3 symmetries:

- The simplest symmetry of synchronic 3 topologies of all organs of space.
- The symmetry of those 3 organs in function in time, which dominate each of the 3 ages of life.
- The symmetry along the 5th dimension of ∆-1 parts that become ∆-wholes, emerging into a bigger ∆+1 world, where those 3 organs of space, perform its 3 ages as a world cycle of time, co-existing in 3 relative scales of the 5th dimension.
- Yet when we see the system as a whole, sustained by a O-mind/point of view, we can see the system as a series of smaller cyclical space-time actions that dynamically through those 3 organs in space-time exchange energy and information with other systems, performing a series of actions, which define the nature of the being as an existential discrete function of exchange of energy and information with its ∆+1 world:

It is then clear that the simplest ceteris paribus analysis is that of the 3 organs of space, in a single space-time plane and with a single arrow of time, entropy.

*It is the present understanding of physical sciences, which by the principle of correspondence is the simplest limit of a Universe in which we consider only a single arrow of time, entropy and a single **plane of the 5th dimension.*

Yet, the next degree of understanding of the Universe, is to realise that those 3 organs of space, the lineal, energetic limbs/fields, the informative head/particles and the combined, St(exi) Hyperbolic body-waves, when seeing in motion in each fractal being, determine a relative arrow of time-future, that is a relative path the system will follow. If it uses the limb/field it will increase the overall entropy of the system, if it uses the head/particle it will likely absorb information, and if it uses the wave/body it will reproduce its form as the wave displaces or in the future as the body repeats its energy and information.

So the next symmetry is that of time. And we can build as taoists did, a worldview of reality that includes the organs of space and time ages/cycles of all beings, which tend to be dominated by limbs/fields in its youth, then reproduce and finally exhaust in its 3rd age of information, its energy, warping till they explode back into entropy and die.

But a final symmetry happens when we realise those processes of birth and existence do happen in 3 scales, as we are born as seeds of the lower scale of size, ∆-1, with a faster time clock and then emerge after a long process of reproduction and formal evolution into the ∆-scale, which will be a full being, exchanging energy and information with a larger ∆+1 world. So the 3rd symmetry of reality is that of the planes of existence of the 5th dimension.

The fractal generator:

*∆-1 $pe < ∆S≈T > ∆+0 Tiƒ*

and its 9=0 symmetries, its 3 topologies in space, 3 ages in time, 3 scales of the ∆-Dimension, resumes the essence of a being, its existence, which consists on tracing world cycles, of 3 ages, as super organisms, of 3 topologies, co-existing in 3 ∆±1, cellular/atomic, thermodynamic-organic, social/gravitational scales. So when we describe any being we depart from its specific fractal generator that explains in detail its 3 organs, 3 ages in time and 3 relative scales of the 5th dimension in which the organism co-exist.

Those 3 symmetries describe all beings in time, space and through its entire existence.

For example, in the next graph, they describe the existence of the human being, its parts, organs in space, ages in time, and relationship with its lower and upper scales through actions of energy and information:

**I. 3 SPACE-TIME SYMMETRIES: tall spheres, long lines, wide waves.**

In the graph, the 3 only space topologies of the Universe, spheric informative, lineal, energetic and hyperbolic, reproductive (as it mixes the other 2) and its 3 equivalent functions≈ time arrows=motions can combine in any form to create as synchronic organs the infinite varieties of species of the Universe.

So we shall find multiple ‘spatial organisms’, which are constructed following the combination:

Past-entropy (limbs/fields) x Future-information (heads/particles) = ± Present system.

Those past to future combinations are either positive creative processes that forms balanced organisms or negative, darwinian processes that annihilate both (particle-antiparticle collisions).

Thus, the Universe is a game of 3 motions with form, and those 2 elements, the temporal motions with force and their still perception as spaces with form, with intelligence, structure the Universe.

The 3 motions in time, which we shall call, P, for entroPy and past, R, for pResent, Reproduction and Reality and F, for future, form and frequency, are complementary, often sequential, PRF, and causal; and while its perception as motions doesn’t bring much understanding, when we study them as fixed, still forms, we observe an astounding array of parallel structure on all those seemingly independent motions, which create a ‘spatial organism’ that works. It is the interplay between those 2 antithetic elements, the 3 motions of time, past, present and future, and the 3 still perceptions of space, toroid, hyperbolic and spherical organs, what gives birth to the dual space-time beings we observe around us.

In that sense the minimal Unit of the real Universe is a 2-manifold, space-time combination, as pure time or pure space, pure yin or pure yang, pure motion or pure form-stillness cannot be perceived. So all what exists is a 2 manifold that we might perceive as static space (a 2-manifold sheet) or as a point with motion, (where motion is one time dimension and the point, the minimal fractal unit also with a 1 dimension – as there is not 0-dimensional, ‘euclidean points’ in the Universe).

The fractal generator, ∆-1 $pe<∆S≈T>∆+1 Tiƒ, and its 9 symmetries, its 3 topologies in space, 3 ages in time, 3 scales of the ∆-Dimension, resumes the essence of a being, its existence, which consists on tracing world cycles, of 3 ages, as super organisms, of 3 topologies, co-existing in 3 ∆±1, cellular/atomic, thermodynamic-organic, social/gravitational scales. So when we describe any being we depart from its specific fractal generator that explains in detail its 3 organs, 3 ages in time and 3 relative scales of the 5th dimension in which the organism co-exist.

The methodology of ∆ST is simple. Reality is made of space-time beings, which are in full description of all its information a super organism with 3 topological organs in space, which perform 3 temporal functions, symmetric to their form (past-lineal entropy limbs/fields, cyclical informative heads/particles and iterative, hyperbolic wave-bodies). Such is the basis of the generator equation of space-time, which resumes the 3 x 3 symmetries of all beings:

Ξ. ∑Spe (|-limbs-fields with maximal energy)<Ø-STexi (hyperbolic body-wave)>∏ Tiƒ (O-heads particles of max. Information)

This is the synchronous ‘spatial, present’ description of the being.

Sp(past, energic, lineal limbs/fields)<ST-present, iterative, hyperbolic body/waves>Tƒ(future, informative cyclic particles-heads):

Max. Sp x Min. T = K-past: entropy< Sp=K=T -Present-iteration> Future-information: Min. Sp x Max. T=K.

Sp (young-past-entropic limb/field) ≤≥ ST (iterative, adult, present wave-particle) ≤≥Tƒ (future, informative head/particle)

We study the Scalar Space-Time actions and worldcycles of all superorganisms, through its fractal Generator equation that ‘establishes’ the ternary past-present-future, energy-iteration-information elements common to all space-time fractals, particularized for each species.

Because we can deduce from the Fractal Generator, 10 fundamental spatial organic parts, time events, social scales, centered in a Œ-point or relative mind/frame of reference, for each of those superorganisms tracing a worldcycle of existence, it is useful to divide the study of those superorganisms in 10 isomorphic elements, deduced from the ∆ST fractal structure of all those systems.

Thus in this 4th line we study the main species of the known-known scales of the 5^{th} dimension considering for each of them its ∆ST structure , __Generator Equation and 10 isomorphism__s.

It will then be widened by this writer or future researchers on ∆ST, with ever more detailed analysis, as the 10 isomorphisms are a template that can hold all the specific species, properties and laws of all the scales of the Universe. So we study in each of these 3RD line post a relative scale of the 5^{th} dimension, and then we shall be filling it with sub posts, dedicated to each of the 10 sets of similar laws, which allow to fit all sub-species, events, parts, symmetries, œ-points and social relationships of the ‘specific plane and science of reality’ we study. To that aim for the sake of order, we have used not the ∆œ-human centered scale of the 2^{nd} line but an order from minimal spatial size and maximal information (the scale of forces) to the Whole Cosmos, and beyond (metaphysical questions and concepts related to the God, the Mind of the Universe):

In the graph, the different ∆Stiences and scales of the 5th dimension, which classify the species of all stiences with a simple metric: max. Spatial, lineal size = Min. Temporal speed of information (Spe x Tƒ = K); that is the larger beings have slower time clocks and hence less information but more energy than the smaller beings, whose clocks are faster.

Because of the immense size of human knowledge, obviously we cannot pour in our limited time all the relevant information of each science. So the choice will be objective, trying to explain the main laws and species of each science, but also subjective, considering those fields and species the author has researched most in the past, and are easier for him to pour in the web. And finally, we will most likely pour an enormous number of new solutions to pending questions of those sciences, thanks to the new understanding of its 3 fundamental elements, and its laws, fractal space, cyclical time and the scalar dimension, whose properties and Generator equations, will be proved ad nauseam for each science and each scale.

The 10 scales perceived by humans are now ready to study in all its formal details in the 4th encyclopedic line. And so in the 4th line we use the isomorphisms to study in depth the 10 planes of relative size of the 5th dimension from the smallest force to the largest whole, with those 10 isomorphisms, and connect to the detail all the laws of all sciences with T.Œ.

Thus in this 3rd line we introduce each of the 10 isomorphisms of the Universe and put examples from each Plane to show the isomorphic unity of the Universe, as all its species regardless of size and time speed follow the same laws.

Yet it will be the œ-point or mind-will, which puts together all the elements of the system, the most important isomorphism to define an independent superorganism, a whole, which does no longer exist when the mental œ-point stops integrating all the parts of the system.

This 10^{th}=0 element is both the integral element of the internal superorganism and the unit of a larger social world, the perceiver of the whole as s single being, and the site of the will of survival where the switching between the 5 actions of existence takes place; as it is both connected to the sensorial external membrane, and to all other elements of its vital space. In the simplest form is the central ball of a tetraktys with 3 x 3 points that organize the different S, ST, T subsystems of the being, the 10^{th} mind sub-system of the human physiological networks, the sergeant, captain and general of the decametric scales of an army and so on.

Thus for each species we identify the Plane of existence of the system, which is the one in which the activity of the Œ-point is maximal, and then departing from the œ-point, its Dimensions in Space and Time ages and its main external social scales and internal cellular planes. And then we consider the 10 isomorphisms derived from those elements to study the being with a detail that can be as exhaustive as the researcher wants through the ternary, fractal method, as each structure can be further broken in 3 differentiated, S, T & ST subsystems) or raised into its emergent societies by the same method. Thus:

First we study the alpha and omega, the 0th and 10th, the most profound isomorphism: the point of the mind, of the will, which perceives and orders the system in ∆+1 as a whole and integrates the ∑cells into ∆-wholes. It is the existential ‘point of view’, fractal mind, Œ-point that perceives the being as its self and enacts its actions of existence. Such selves should exist in an enormous number of ‘perfect beings’, those who have reached completeness as organisms across its §^{10} scales, transcending from the lower herds to the network superorganism.

Once we have a frame of reference we can adopt that point of view to analyze its domain in space and time and 5D scales and define the integral of the system across its ∆ST elements, with the Fractal generator, which sets the limits, organs, ages and scales of the being.

So we reach enough information on the S-ST-T dimensions of the system and its location in the social scales and planes of the external world. So we can easily describe its main 5 actions derived of its exchanges of spatial energy and temporal information across its ∆±4 Fractal planes of existence: ∆æ-4 (acceleration of motion), ∆ï-3 (perception), ∆e-2 (feeding), ∆œ-1 (Reproduction) & ∆û (social evolution into universals).

And the quanta the system uses for its ∆-4, motion, ∆-3, information, ∆-2, energy feeding, ∆-1 cellular seeds, and ∆-social evolution through social scales into its U: ∆+1 super organism, part of a larger ∆+2 world.

Those actions and scales thus determine the structure of the system along its ∆±1 scales of internal existence (5^{th} isomorphism) and its internal and external social classes around the Œ-point both as the top element of a super-organism, and the quanta of a larger world (6^{th} isomorphism).

So we can study the system quantitatively, through its __Constants of Action, its Social Constants and its Space-time ratios of symmetry__, all of them related to the ratios of exchange of energy and information between its internal ternary organs extended along its ∆-1 scales (the cellular/atomic ∆-1 plane) and its external, ∆+1, social/gravitational plane, where the being exists, given the fact *that all those ratios and constants remain *co-invariant through the inter-actions of the ∆-individual/thermodynamic system, according to the metric equation of its 5Dimension: Sp x Tƒ = ∆-1. Which is the reason why those vital constants do exist for all stable superorganisms and its worldcycles.

It will be the most mathematical detailed analysis after the qualitative understanding of all the elements of the space-time fractal. It will complete therefore its analysis.

But all systems are part of larger families of variations grouped by the co-invariance of its relative parameters in relationship to a larger scale of species.

Thus the 3 last isomorphisms allow to consider the variations of the being as it evolves in the larger planes of the 5^{th} dimension. They are the 8^{th} isomorphism, which makes explicit the processes of creation and diversification along the dualities and ternary symmetries of any relative plane of the 5^{th} dimension (considered here as the whole range of species of a co-invariant family of Vital constants).

So we shall observe that the ages of evolution an ∆+1 species are the same ages of an individual superorganism, where each species can be treated as a ‘type of cell’ and vice versa (each cell as a type of species, being the superorganism the final social evolution of a phyla of space-time fractals).

We merely change to a larger territorial space and slower time span according to 5D metric: Sp x Tƒ = ∆.

Thus we can study the same ST, and S,ST,T dualities and ternary varieties considered in the 5 isomorphisms of the individual organism, to study the evolution, reproductive radiation, informative differentiation and social evolution of species, including a similar duality of gender varieties (lineal energy=male species vs. cyclical informative=female forms.

Whereas, the differences of size and speed of time, correspond to the differentiations according to the internal ∆-1 cellular growth and external ∆+1 social evolution that happens as the last phase or horizon among the most informative species (i.e. ants and humans in life scales, black holes that form galaxies in gravitational species; Tf, solid metal and crystal states among atoms).

So we study how the being evolves socially into a larger plane of existence through §^{10}=(3×3+∆)^{10} scales – the last isomorphism which takes us to the ∆+2 world of the being – its maximal potential future territorial extension beyond which there is a discontinuum.

How can this be studied become then obvious: mathematically and logically, *constructing with a set of laws based in the fractal structure of space, and the logic, cyclical form of time arrows the space-time laws of the Universe.*

As this was done by logic and mathematics, we can adopt in fact a historic perspective to study them, and so consider that the new age of space and time studies in formal logic and mathematical topology will merely respond to* the fractal structure of mathematics.*

We shall therefore do a post here explaining the meaning of logic mathematics as the expression of the logic and geometric structure of space, time and consider the history and evolution of those formal discipline, through.. the 3 ages of mathematics, a slow growth in the awareness of that ultimate dual substance of nature, *logic, time events, and mathematics, spatial structures.*

We shall thus divide our study in 3 big themes:

- The generator in space. Correspondence of Mathematics with the 3 elements of 5D space; time.
- The generator in time: The 3 ages of Mathematics.
- Philosophy of Mathematics: The language of U∞.

**The formalism of i-logic mathematics. Its application to the understanding of the minds of God.**

Now we must upgrade the 3 elements of mathematics to the new definition of space-time.

Informative Analysis understood philosophically as the expression of the laws of the wholes and parts of the 5th dimension based in the arrow of information, which we must add to the arrow of entropy studied by physics. Thus analysis as expression of the laws on how informative, infinitesimals integrate into ∆-points of existence, Œ… is the first field and main field of 5D metric.

Time Algebra, must be moved to Existential Algebra with more time motions.

Aristotelian Algebra/Logic whereas there is a single time logic arrow, A->B, upgraded to ternary logic in which any event can give 5 results or future outcomes, hence the sum of all the possible stories of an equation will be: A x B = A +B + AxB(parallel) + A/B (perpendicular) + B/A (perpendicular) variations of the first event. Hence we write A≤x≥B as the new operandi, which expresses all the 5 variations of those space-time events in the pentadimensional logic of the 5th dimension of ∞ fractal space-times.

Euclidean Geometry must be upgraded to Non-Euclidean i-logic geometry which includes time algebra in its logic demonstrations, where each point is a world in itself, a fractal point crossed by infinite parallels, which can be seen in the 5 states of existence of time algebra, and defined with 5 different Non-Euclidean postulates (Fractal points, line-waves, topological-planes, laws of self-similarity, and perceptive laws of spatial creation of forms).

We call the sum of the Non-Euclidean Geometry, Non-Aristotelian Logic, and informative analysis, the formalism of i-logic mathematics. and dedicate a entire section of the web to it. Now the wording of i-mathematics is obvious, it stands for ‘i-logic mathematics’, which studies 5D metric of information, the non-Aristotelian logic and Non Euclidean geometry, hence Non-AE=i-mathematics of it. Whereas i comes after A and E.

We thus study those themes of Non-AE,in depth in two sub-sections, of this post, one dedicated to mathematics (Non-E) and one dedicated to logic (Non-A)

**Abstract.**

**∆:** In the graph, the fundamental arrow of future, is the arrow of social evolution of the 5th dimension, shown here above as a sum of worldcycles of increasing information, described by the Fourier integral, which puts them together into a whole, larger single wave, which emerges according to the fundamental law of ‘inversion of roles’, from cyclical to lineal: ∑oi-|i. Below the scales in space, which evolve into larger wholes.

This absolute ‘arrow of future’ is one of the 4 ∆ºst concepts of future in GST, the main one.

**T:** But there is also the relative future of any world cycle, our 3rd age of information which will return back through death, which releases our information into entropy to the beginning of the cycle. Thus the 3rd age is only a relative future, coupled with the Tiƒ, head, which is…

**S:** always moving ‘ahead’ in space; hence the relative future of the ‘body-limbs’, and wave-fields that ‘follow it’.

**@:** And finally the mental future, which is inside the head, is a logic future, as the head-particle ‘sees’ ahead and projects its space-time actions, creating the future with its mirror language, projected into the outer world.

**∆ºST:** SO THE FUTURE, is indeed complex but rational, causal, logic and can be predicted according to the probable paths any system will follow to survive and ensure its existence; building organic wholes, following entropic paths in search of its energy for reproduction…

**Deterministic future with its ****variations on the same theme.**

And this means existence is a block of time, for the whole Universe, a volume of self-contained probable combinations of every and information that will always be contained in the bell distribution on any way we see it in space as topology in logic space as a bell curve of populations, within a super organism self-contained a myriad of other potential futures and past arrows up and down co-existing superorganissm of the Universe, the logic game will be combined into ∞ beings, but all of them, predictable and replicable. For that reason in strictu sense we can say that…

‘The separation between past, present and future is an illusion’ Einstein

The future is both probabilistic in the short term with ±3-1 chances of motion in each dimension of the being, and deterministic in the long term as all worldcyles become a final zero sum; so all paths do collapse into the same final ‘death-point’.

This though is the simplest way to perceive the future.

**The creation of ternary future waves within ‘finite systems’: Fourier transforms.**

Let us consider of the many perspectives of the future how it ‘webs’ a block of time, making more dense reality in 3 ‘waves from past to future to past’…

How the future is webbed? Through 3 waves which seem when we reduce the space =time of a higher frequency in fact packed in time who is born in the late time of a slower wave but accelerates into the future in 3a yes which become then synchronic when we put the time cycle as equal in duration regardless of size:

Each λ therefore last the same in fifth dimension, and the 3 waves of frequency acceleration of both waves of communication between two points and two pints accelerated cycles sand then the inverse alpha i-dimensions of height, which becomes negative expanding entropy:

Equal time frequency = equal lineal time.

O = | the equation of the universe, when we equal time lineal and cyclical we see life developing in 3 waves the 3rd accelerated but with the same wave time, lives 3 times the first slow wave, so at the 3rd slow wave the third form in the third cycle of the single wave is in the same time, in the second life of it, the second era the younger is already going faster and erasing the echoes of the first in the past:

In the graph the 3 waves of existence: ≈λ imply that the 3rd in energy has the same than the first, and hence if energy is real time, in real time the 3rd goes 3 times faster in time. After birth it takes 3 o repetitions to fill 1/3rd faster full wave with higher frequency energy.

**Energy** = k x λs=t is therefore the fundamental function of time and the future starts for the last 3rd after 3 0s.

We then understand Energy, as the relative parameter of equal valued present time for all waves, except ‘seemingly’ (as we shall change that paradigm regis(it)ing relativity), the waves of light. It would then be a choice of human perception to ‘see’ those waves of present value as different in length or time according to the physical scales:

In the graph we see the main accelerated scales of forces, in which the sam concept applies not to an St wave but a Tiƒ accelerated clock of time, which creates the future of inner faster cycles of the same energy/force but smaller size in space and larger information.

In the graph, as the density of energy increases, the cyclical vortices of energy and its ‘wave’ state between two relative fixed points of communication, come bother. the cyclical form is the particle-lfield the wave of communication through points caries the information and increases into a fourier form, till time magically emerges as a new space-whole, which integrates all its faster micro-waves, micro-cells, micro-atoms, point on the fourier space of transforms and transfers of energy and information on mathematical series of 2 and 3 fluctuations mainly around certain constants of transformation, notably pi, and e.

The simple Fourier transform which keeps adding series till it emerges as a square graph:

∑Oi-1>|i (topological notation: O≈t, |≈s represents in a clean cut way some of the fundamental properties of timespace systems):

- The creation of emerging levels departing from the sum of the ‘social scales’ below them.
- The transformation of the role of the ∑-1 particles which become points of the larger |-spe fields.
- And therefore its changes of form from cyclical to lineal squaring the circle; making a wave triangular and so on.

This remarkable triangulation likely can be extended to the black hole or gravitational clock of information, as pi derives to ‘3’ in Einstein’s equations, the perimeter of a hexagon, which is also the strongest ‘holder’ of the gravitational pressure sum of all the accelerate cycles of the vortex-clock.

**The future for |-fields>O-particles: Hamiltonians and Lagrangians.**

Now, the 2 most important equations of GST physics are the fourier, who show from the time perspective, Spe ∆-1: tiƒ ∆, that is an emergence through resonance built by a quantic ad on of series into whole numbers, 1, 2, 3 being the series by differentiation of waves into male female positive negative directions on the high axis and i-coordinates, and a motion on lineal flows of entropic past-uture, field-partilce state ruled by the Hamiltonians.

On the other hand, when we study the inverse arrow that extracts motion from a ‘storage of time-energy the equations we use are the Lagrangians and Hamiltonans, which are essentially derivatives, that keep ex-foliating the relative past of its depth reservoir surfacing it in the form of motion.

Hamiltonians and Fourier transforms are thus the opposite key equations for the inverse arrow of entropic disorder absorbed by the particle of future from a past/field vs. the temporal relationships of increasing organisations and emergence of a wave of time that reproduces information, *and when constrained by a first and final point, must ‘densify its energy and information’ into a whole.*

And so we have identified the equations of mathematical physics that integrate and derivate the fifth dimension.

Now the process of waving of the past by the future happens from the pov of the future, as it sends to the past a flow of information, which DOES reach the past, then hence, travels t the past and this is the hamiltonian.

ITs ends energy to the past which as it moves flourishes in smaller breaking of fractal flows of iterative information whichtheenergy enlightens into the past beings.

And then the beings send to the future, logic flows of information ‘creating, constructing, crepitating, speaking the future and creation it as a reflection that information sends to the future transforming the energy is feeding of.

In this the hamiltonians and the fouriers forms an integrative, derivative world of flows of past to future through the relative concepts of them we have if we add the 5th dimension long concepts of those terms.

In a fourier the future is the accumulation and integration of increasing fractalized smaller waves, which emerge as a single whole described by the mirror equations of the derivative. Both derivative and integration added together to a 1 sum. And as such are inverse but complemtnary versions of the different states of the 1 being.

Now the derivative is really the tangent, = x/y, and viceversa, is really the integral in a point by the lebesgue or rimenan method. So we write knowing x and y X=y, is the crossing point where the tangent exists.

So tangiest are S(x) = t(y) reflections of the balance to balance points of the function as they move in different states.

But the points have a value attached, x and y, so those two values are the populations of x and t in a discrete numbers that enter in relationship in the point of the curve. If one grows faster than the other it is obviously a sorbing in this particular relationship ‘value’ from the other.

this is an easy way to determine which phase of a cycle of existence the being is interpreting he maximal an minimal of the ucrives in terms of x and y:

In the graphs we can see different events that are key to the curve of existence and its Lagrangian zeros in each point test constant motion to different 3 approaches to how mix s and t and who comes on top, information formally through projective geometry, the particle is on top, the wave below, ‘touching’ the field, still below it. so the wave is constant sinking and rising more giving food to the particle that rules it with its projective perspective and yet in the future the particle can interact with the wave and the field in the 3 ways we show above:

In favor of the wave, the field or the particle, as final outcomes, which is to say in a reproductive event (middle) after a communication of information (sides) or wave particle duality,

Or as a motion wave of iterative reproductions and translations (middle).

Waves thus fluctuate between the inverse states that can cel each other as well as the step by step motions creating a…

**world cycle, which combines those 3 simple motions: S>t, t>S and t=s in ****different non commutative steps to give… cause of**

**THE BIRTH AND DEATH OF THE GODS=SUPERORGANISMS OF HISTORY AND ITS PROPHETS OF LIVEVIL.**

**The future in man: heads, artists, social civilisations, 3rd ages… and deaths.**

Now this theme treated extensively (in the future:) on mathematical physics, allow us to extract a description of those motions as derivatives of future and integrations of past, which give the ∂∫ operation a meaning on the fifth dimension.

Here we shall not treat algebra of time but a description on how it acts in a qualitative way, as we derivate to the past and integrate into the future, literally in words of the ‘verbal meaning’ of those equations, we derivate to the easy past, we integrate in the climbing future, towards the higher states of the fifth dimension, integrate into the bosonic whole, which so well mysticals have described when integrating into god, the super organism of the human kind:

We shall thus concentrate in the qualitative description of the future to past derivation and integration of men into superoganisms of history.

**The future seers of times: prophets, seeds of the death of the father. Mystical, religious futures.**

We are now to give you a prime of the most beautiful part of all ‘social sciences’ and 5D metric, oh, yes, I know it will blow up your mind and you will either leave the blog if you are still here or go to your nearest temple. It is the birth of a God/mind/subconscious collective of a super organism of mankind; compared to a well known similar process in 2 other scales of physical systems and biological systems for good measure:

You can see in the first graph, the birth of a particle, after its antiparticle dies and travels literally to the past, in a quantum jump, *which lasts the life of the anti-particle* (Feynman’s diagram). In the center you see the same process of birth of a seed of information, which is called palingenesis, as the seminal seed is really a local jump into the past of the being, at the beginning of its evolution which then will *move forwards in time, to give birth to your son. As in quantum physics and 5D cyclical, fractal time INFORMATION travels to the past. It is an enormously beautiful and simple equation: a seed of information produced in the lower scale of the fifth dimension jumps a quanta to the past where it is born and then moves to the future at full speed and emerges in the PRESENT simultaneously to the original ‘father’. *

*We have proofs of it, in all scales of the Universe. In the left graph, antiparticles die and move to the past, travelling then towards the future, so:*

Quantum jump to the past + travel to the future = instantaneous ‘non-local’ speed. Indeed, physicists who still don’t know the metric equations of the fifth dimension Do know what Einstein called ‘spooky effects’,

Newton action at distance, and Bohr, quantum entanglement: it seems as if particles, planets and forces of in-form-ation, which attract and form as gravitation does is INSTANT. How can it be possible. Simple: the force travels to the past (as in the equations of Hawking’s black holes, which travel to the past as the focus of maximal gravitation). So AS THEY jump TO THE PAST, they GAIN TIME, and as they move towards the future, they loose time and both compensate, and so it seems they travel through the present. So goes for the seed, which travels 3 billion years to the past of evolution and then emerges in 9 months into your relative present stage of evolution. So happens to the particles which are entangled in present time regardless of distance, as they can send ‘information’ through gravitational waves and remain simultaneous in present.

Now, back in the 90s I did a through study of all the prophetic happenings of history and found an astounding phenomena, 72 generational years (yes our cycle of economics and history) before the death of a super organism of history, the ∆+1 scale equivalent to the father of a seed, before a war that killed by genocide the people of a culture, there was a massive age of angst among the ‘collective neurons’ of the super organism of history, its ethic writers and artists, who foresaw, as if they had received from the future an angst call of information, the death of his super organism of history.

A simple example will suffice: 72 years before the death in the month of Ab of Yhwh, the subconscious collective of judaism, killed by the ROMAN genociders, in yet another cycle of banker priests of israel, ab=using the people with go(l)d, there was a massive influx of prophetic angst in Judea, and a seed of love was born, called Iesu, son of Yhwh, God of the Jewish people, who repeated the damnation of the golden apple, of the prophet of genesis, the damnation of Moses, the prohet of exodus, the damnation of Ezequias, prophet of Torah, the damnation of Marx, prophet of the Industrial revolution, who also wrote Das Kapital 72 years before the Holocaust, telling all of them, that you cannot serve two gods, go(l)d and the word, that you must give to Caesar what belongs to Caesar, the issue of money, that the Jewish question will end when they abandon their worldly profession of herding go(l)d (Marx) and that ‘the jews would suffer all their live for their love of money’ (Moses, exodus before going to the mountain):

And so in the graph, the seed of the fifth dimension, travels in information to the past and has an enlightening moment that strikes the ethic mind of the prophets of love, which warn the future. Can then the future be changed? Yes, indeed, ‘because the separation of past, present and future is an illusion’, as there are blocks of time, which are for 3 days, 3 cycles, 3 motions back and forth of the fifth dimension, webbing the future.

Imagine a ‘cloud of space-time’ evanescent, becoming more solid, remember the parable of terminator, traveling to the past 3 times. THAT IS how it works. A musical image will suffice:

Schopenhauer, by far the best philosopher of the industrial age, said that music encodes the secret program of time in its rhythms. so thought Pythagoras when he found the perfect harmony of the fifth plugging 1/3rd, 2/3rds of the string, attached to a point of future and past, the birth and death of the frequency world cycle. As you can see, time webs back and forth 3 times and then the perfect cycle, the solid block of time’ is built, with its 3 ages.

This is called the Fourier transform, and in complex 5D metric is the essential equation of time cycles used in all sciences.

Now this is science using the mystical, prophetic tone of the masters of history. But it is the same process that the other 2 futures, the physical and biological ones. The future simply *is already happening, determined by the sum of the events of the past, which for each world cycle accumulate in its finite length, and past the region on the ‘perfect fifth’ will very unlikely be corrected.*

**RECAP: THE 4 ∆ºST FUTURES**

**∆st: the super organism view: The co-existence of the 3 scales of the future**

Now, the proper understanding of all of this is even more ‘spooky’ (:

Consider yourself. How the *3 scales of your co-existence, the world of your super organism, or consciousness of God, your civilisation?, the individual and your cells, can co-exist in the same reality occupying the same space?*

Answer: because they are displaced in time, a quanta of the lower scale, in an infinite decaying series.

So in fact the 3 existences happen at the same space, because they are displaced in time.

And the big question is what is displaced into the future, the whole or the parts?

That is a good question and again relative. to the perspective we look at.

*Since for a being travelling to its local past, inverse to the being travelling towards the future, both past and future are the same. So both converge into the present, one for the future the other from the past, seeing their respective inverse entropy-information elements as the inverse past and future, which only are connected through the body-wave of present, the only part who seems to exist and reproduce. *

You MUST co-exist somehow in present in your 3 ‘scales’ ∆-1: cells, ∆-individual and ∆+1 world to coordinate your actions.

So either you co-exist in space in the ‘dark holes’ between beings and its alley cats (in the world in the surface of it), or when the relationship is tighter in a supœrganism, you co-exist at 3 levels, in time, and since motion is synchronous, the whole and parts must co-exist in different regions of time. Now by essence the quantum jump, the prophetic jump implies that the *Whole, the God-like being which is in the future, dies in the future co-exists with its smaller parts of a relative past, as the whole is made of the past; BUT BOTH MUST ON THE OTHER HAND FEEL IN RELATIVE TIME TO EACH OTHER AS BEING NOW IN PRESENT, OR ELSE THERE WOULD BE ENTROPY IN THE SIMULTANEOUS MOTION OF THE WHOLE, YOUR CONSCIONESS AND THE PARTS, YOUR CELLS.*

So we have two contradictory statements. The whole is in a relative future, the past cells in its relative past but both co-exist in motion through space IN present; and for that to happen, the future must send messages to the past, as perceived by the past from the future.

Complex enough? So:

Whole: absolute future sends information to its relative past as a flow from future to past *in a faster language.*

PASTS, absolute past stores information for the future and sends it in a slower language.

**S vs. T: the topological view. space fields and its future particle-heads.**

So while in the ∆-scales things are a bit confusing (: we are lucky in the the particle/head duality vs. the field-limbs. Here they are seen in present but the logic future is the particle-head, which *has this future mapped out and projected through its guidance and actions, inside its brain. So the particle here is the future the limb-field the past/*

**S≈T: the reproductive wave view: The fractal futures of the reproductive present.**

But there is yet another way to look at the future: the multiple world theory, only that it happens in the same Universe made of island-universes, fractal similar beings, and so there are infinite fractal planets, each with a parallel future history. And in the sample case – that of the prophets of mankind, there are a percentage of those fractal avatar-like planets in which the human future survives. So all the futures happens according to the temporal genetics of submissive and dominant ‘types’ of future.

Because there are infinite other fractal planets, in this Universe where the game of history is played. And one thing is obvious:

At least a 10% of them,maybe as many as 25%, depending on the degree of dominance of the world of robots over man, according to those equations are Avatar like planets, where Mr. Bezos has no following, bio-history triumphs and the alter egos of all those artists and prophets of history create a perfect world.

**Coda**

The universe is, mind the reader a virtual reality, the ego a paradox, motion a transference of form, eternity, not for the fast timing of small parts. But only when you understand it all, the meaningless of all of it and the nothingness of your self becomes self-evident.

So what is the fun of it? To exist without knowing, to act without understanding there is no final goal; so you keep on moving, whatever your future might be.