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‘≈¡Math:

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Abstract. Languages are NOT the ultimate cause of reality as Platonic Idealism and Verbal Creationism (Abrahamic religions) thought. But they are extremely important as they represent one of the two limits of reality – that of pure form, mirrors that in a synoptic manner construct mind-mappings of the eternally moving cycles of time of the Universe. As such MINDS ARE LANGUAGES. And languages perceive in themselves – what you call your mind is a visual mind-language that stops reality, constructs your view of it in a reduced mind space and quanta by quanta of your inner timespace thoughts keeps on guiding you through the game of exist¡ence. We do NOT however care at this stage about that wonderful miracle of language->still perception->Mind will, studied elsewhere but about a specific language, maths, which is along visual thought and Logic, verbal thought the closest ‘mirror’ to reality as it is, albeit in an increasing degree of synoptic capacity to represent space-time. Mathematics is in that sense best suit for the spatial (topological) and scalar, social (numerical) elements of reality. Logic is better for the complex pentalogic of the entangled Universe.

This said, mathematics needs an upgrading completing its non-Euclidean view of space, with the non-E topologic 5 ‘postulates’ and in a lesser degree, as logic does the job independently, a non-Aristotelian view of time causality (pentalogic of the 5 Dimotions of reality), to add to the  scalar, ∆§ representation of sequential social numbers, to create¬Æ=∆¡ languages; setting a Universal grammar for all of them.

And it requires an enormous job of connecting all the postulates and equations of sound mathematics with the space-time Disomorphic laws of the Universe to show they correspond to each other as mirror and reality do.

In that sense, in the future when huminds or AI upgrades sciences to stiences, ∆§calar Non-E Mathematics and ¡logic, existential algebra will be the final set of laws of scale required to understand the Universal grammar of reality, or more commonly talking mathematics we shall therefore study as a case example…

∆¡logic Mathematics

Hendecagrams are the simplest mathematical @-mind singularity – trascendental polygons replicating its form in self-similar smaller spaces @ faster time cycles, which finally reach the 11th dimension of the mind as a point which embodies the wholeness of the infinite in its infinitesimal still fractal construction of the whole, ∞º=1. We shall in this paragraph explore the ternary+0 paradoxes of sentient topo-bio-logic exist¡ences, the 4 main properties derived of the ∆º§tructure of reality as an introduction to the highest of all languages of thought ¬Æ=I-logic mathematics, starting by the I-logic principles, ill-understood by physicists that form still today albeit in a simple @-logic form, the scaffolding of the discipline (relativity, conservation principles and group symmetries). And debunk its ‘creationist mathematical’ egocy (Ego+idiocy) explanation. 

L’algebre n’est qu’une geometrie ecrite; la geometrie n’est qu’une algebre figuree. Sophie on the ∆§ duality of maths as a topological, social, numerical language of form and scale.

We are monads that hold worlds, mirror perspectives of a mind over the whole, but we are not the whole much more complex and infinite in parameters to the mind.

The mind we might say is a single ray of the infinite horizon, as it shall decode ultimately into a single lineal parametrical language, verbal symbols in human beings that as we know have a lineal syntax as you read in ‘lines’

The mind is thus an infinitesimal ultimately lineal reduction to a time speed of processing information of the whole spatial infinity it portrays in increasingly reduced forms of information till its primary language that seems to be codes of 0101 numbers in virtual minds of atomic nature and words in humans.

FOREWORD: ¡MATHS THE LANGUAGE OF SCALAR SPACE.

If logic is by definition the language of sequential time, even if those sequences in advanced logic are circular, mathematics must be defined then as the best language to fit the other two parameters of reality, scales, which are indeed defined by numbers and space, which are defined by points, the two classic elements that constitute mathematics and we regain, as we return to classic, experimental mathematics, departing from the ‘creationist’ abstract beliefs of modern mathematicians with its axiomatic method that tries to prove mathematics within its own syntax – an error already proved false by Godel and Lobacjevski.

So mathematics is a potent language only comparable to logic. Of course, as logic can also in the kaleidoscopic, entangled Universe represent space and scale, mathematics can also be used to represent time motions through operandi and algebraic equations, but in true form we should consider the symbols for operandi logic symbols. So in praxis mathematics as it is today is both a logic language and a spatial language. Those are however subtle elements to be treated in a section on philosophy of languages. For a first approximation, we deem mathematics the language of scalar space, ∆§, logic the language of sequential time, and its full combination, ¬Æ=i-logic mathematics, the closest humind language mirror of the Universe, which we shall slowly define and expand in this blog to be able to extract all the properties of reality.

So we subdivide mathematics into numbers, the language of scales; geometry, the language of points of space; algebra, the language of time operandi, and ∆nalysis, the language of scales more evolved than simple numbers and its polynomials as it allows a more subtle analysis of parameters as they emerge into social wholes through integral processes or derive into single parts through entropic dissolutions or ceteris paribus analysis.

Of course in our present ‘primitive ceteris paribus’ analysis of reality with a single present or lineal, entropic time dimotion of locomotion, mathematics truly works for the reduced number of properties extracted in mathematical physics; yet when we include the five dimotions mathematics needs to be complimented with i-logic or else we shall enter into a Ptolemaic excessively complex mode of studying reality. Minds thus in general will use a logic sequential language for time and a spatial mathematical language for space; and as we study minds we shall see that to be the case.

INTRODUCTION:

PHILOSOPHY OF MATHEMATICS: PYTHAGORISM OR ORGANICISM?

‘The smallest point is a world in in itself’

Leibniz, on the fundamental particle of Reality:

The fractal point=world of space-time.

The mathematical mirror.

As math is the most used mirror, likely the most efficient reflection of the nature of ∆@s=t 5D Universe we will analyse a bit more the correspondence between the mirror and those 5 Dimensions.

Indeed it is obvious that mathematics is only second to T.œ as a linguistic mirror of the Universe, and as such the most efficient language perceive by man. As languages are the essence of monads-minds that order the biological, organic Universe, it follows that mathematics has survived for eons, extending their local order from infinite fractal points of view, which used it to better their territorial organisation of the Universe; and so infinite species seem to use mathematical systems to navigate their worldcycles of existence, and organise their territories, notably ‘atom-galaxies’ (∆±3):

In the organic paradigm embedded in the latin->European->Social culture, which reached it maximal truth in science, in the Wien school origin of general systems, the WHYS OF THE UNIVERSE are always organic, and the description are the linguistic mirrors of which mathematics is the best.

So only organicism is real in the whole sense of the Universe, while languages-mirrors are local orders.

The EGOCY of our present, entropic age of human civilization rejects this (Precisely because it is becoming dissolved). So we  reject the power of networks – self-made man myths and tribalism in history. Yet  networks are more powerful and survive.

How this work on languages IS OBVIOUS: LANGUAGES ARE LOCAL, IMPLEMENTED BY BRAINS, AS THEIR SOFTWARE, which orders reality AFTER THE LANGUAGE MIRRORS IT, not the other way around as creationist religions and mathematical physicists think.

IS REALITY A LANGUAGE?

From a book of Penrose, ‘Road to i-reality’ (: we bring that ‘error’ and correct it:

In the graph, physicists are after all human egos submitted to the mind paradox, so they think ‘mathematics are a mind language, imagined by the physicist and ‘God’ a priori, creating a posteriori the Universe (copenhagen interpretation). The opposite is truth. 

The language of mathematics DOES NOT CREATE REALITY a priori, but ONLY a posteriori ‘sees it’, as a synoptic mirror, which as all other languages, a certain singularity uses to ‘see’ and develop its ‘survival actions’ in time-space.

This said in a second phase, languages Do create as reversal mirrors, the order of the territories their minds organise, and as such THEY ARE indeed, minds of Aristotelian fractal gods, the ‘unmoved still mind-points’ that move the ‘energy’ around them:

The mind mirror does create ‘locally’ an order, which is territorial, as it bends information from its pov, and then in a reversal from ‘space-time’ (from Universe to mind) into timespace (from mind to Universe), locally contributes to the building up of higher efficiency, with the synoptic power of the language, BUT NOT ONLY IN THE CASE OF MATHS. I.e. the best known example is the synoptic power of the genetic language and its coding of the 3±i dimensions (cracked on the biological section, when poured by treatises on genetics:), to resume in palingenesis, the ‘3 billion years generation and trial and errors of life in 9 months to give birth to man, the potential most perfect form of carbonlife:

In the graph we see this feed-back game between the infinitesimal 0-minds and its local order, as centres of the will of T.œs in its relationship with the whole T.Œ, the Universe at large.

In the graph we see this feed-back game between the infinitesimal 0-minds and its local order, as centres of the will of T.œs in its relationship with the whole T.Œ, the Universe at large.

In the graph,  re-designed from” road to irreality” (: a work by Penrose, one of the most staunchest creationists of physics along his friend Hawking, which shuns off the laws of the experimental method) his view of reality is VOID as in all PLATONIC (PLATO by the way never said that, they should be called Pythagorean, a much more primitive ‘magic view’) of HARDWARE MINDS and LOCALITY.

In his view the Language creates the Universe. But languages are the software of HARDWARE MINDS, without which they cannot order≈ create LOCALLY the Universe. In the Platonic or rather Pythagorean view the Language creates magically the Universe as some kind of ‘substrata’, similar to the ‘absolute space-time cartesian graph of Newton’ (ultimately a creationist mathematical pen and paper continuous background that has nothing to do with reality).

In the previous graph to illustrate this real a posteriori nature of maths, we include besides Penrose’s another set of arrows – the stronger thicker one of the philosopher of science in the right.

So as usual in the multidimensional universe we can put together both directions of the process of creation.

In that regard, the true mirror language that ‘adapts’ reality better is the ∆ST-language WHICH is the one embedded in the behaviour of each ðƒ-singularity.

But again as there are B&W, 3, 4 and 5 color animals (birds), with better detail maths can be improved to ‘see better’.

In its present ‘underdeveloped’ euclidean form, and with some fictional forms of mathematical physics taken for real, its incomplete structure must be improved.

This I did when young, after understanding the scalar metric of 5D Analysis and its 3 arrows of space-time, upgrading Non-E GEOMETRY.

All languages departing from a set of mirrors of the generator, called syntactic rules codify long systems of objects. Mathematics as being so wide, must therefore be the ∆-i mirror of a large ∆+i Universes. The i-maginary side of the physical Universe at ∆±4 thus seem to be mathematical, over which other more specific languages elaborate its codes; yet all codes refer to the a priori language of ¬Æ  ∑ Γ • ∆s

The evolution of maths improves the mirror, its ternary syntax.

It does of course because any mirror-image of reality even if unfocused carries some information about it, and works for the distorted mind view, which let us remember is NOT REALITY BUT ALWAYS A LINGUISTIC MAPPING: Œ-Mind <linguistic perception> ∞ Universe, and so any mirror does carry a minimal information to be useful to departure a whole:

In the graph, linguistic mirrors create minds with different amounts of information, useful to guide reality. We must not though confuse the mirror with reality, the a priori element.

All this said is easy to understand mathematics, its elements and disciplines as a mirror of the Universe.

For the scientist who will consider all this nonsense because he thinks he knows his maths and all is there, the answer is yes, all is in the mirror but with less detail. So maths as the universe does, has also 3∆st+º sub disciplines, it has also a fractal ‘derivative’ structure and it is also about space-time.

THOSE 3 main sub-disciplines code the 3 ‘structural elements’ of the Universe:

  • ∆nalysis of the 5th dimension, its wholes and ‘finitesimals’ (1/n).
  • Geometrical space, (Spe) and its unit, fractal points.
  • Temporal algebra (tiƒ) and its units, sequential numbers.

And it has its ST ‘combinations of which the most important its topology (the study of form with motion).

Moreover the mirror of mathematics has evolved to explain in more detail the ‘actions of space-time’ of beings; as all languages do improving its ternary grammar. So words developed first ‘names only’ (forms), then motions ( active verbs) and finally ‘complements’ (complex systems).

And colour languages moved from dual B&W, to three colors (red-entropy, blue, form, green energy) to four, adding green/yellow mixes.

So today maths has evolved into multiple space-time disciplines. For example spatial geometry added, analytic algebra, which is geometry with sequential time numbers that finally dominated the discipline, while topology which is geometry of space with motion in time, today added ∆-scales (as it is defined with networks of ∆-1 points).

Dogma and flexibility – evolution of languages.

All this is said to remark a key concept that escapes mathematical physicists:

No language-mirror is absolute in its truth, but an evolving system, which goes through three ages

So when written words appeared pharaohs just said ‘it has written=truth’. Today in the far younger mathematical discipline, scientists say ‘it is an equation=it is a truth’.

Only latter words were known to be also fictions, a fact that also happens with equations but few scientists do recognise. So maths has still a ‘religious, dogmatic outlook’ proper of all languages, even if it has already gone into a ‘third baroque, inflationary  informative age of excessive formal content’ and split into multiple similar ‘metaphors’ (languages being inflationary as mirrors-minds are multiple, watching a single perspective do offer multiple views of a single event, hence the multiple equations observed to describe the same physical event).

But religious people, aka dogmatic physicists do NOT understand all this about their mirror-language of mathematics.

For many of them, equations ‘are’ always truth, just when written, and other languages are NOT truth – dogmas we only find in fundamentalist verbal thought (God speaks only in Arab, so Koran cannot be translated as it looses its truth).

Of course, languages do have also ‘quantitative’ measure. So while all carry an image, some are better and we prefer a carrot picture than a drawing.

So, we concede maths after images, is the best mind-mirror known to man, as it carries more informative detail than words (but less than images), and so it has become after images (most humans believe in TV celebrities more than in physicists 🙂 the dominant language today, and overcome religious words. Still as Einstein put it ‘I know when maths is truth but not real’, meaning we need experimental analysis of mathematical truths and so NOT just because we can write an imaginary particle with maths, the particle will exist (Susy, evaporating holes etc).

IT IS AN EGO ERROR, TO THINK then that maths is always truth and an even bigger ego-error to think maths is not experimental but produced by the human mind, which becomes a short of ‘God’ that talks maths as only God does (that was the idea of Kepler: god has taken 5000 – biblical – years to found an intelligent like his, me).

A linguistic or a reductionist Universe? Selection of languages

In the graph, the Universe is guided by languages, which selects the species that survive into the future. Thus a philosophy of reality can be established in evolutionary terms based in languages of information that matter more than the bodies of energy described by darwin’s struggle for existence – a secondary more obvious but less decisive element in the ‘selection’ of what maters to the Universe. 

For those die-hard platonic people we shall though consider a hypothesis of epistemological nature, regarding the linguistic, sentient nature of the Universe, which I sometimes think truth. Let us consider that sentient perception is associated as it seems on a linguistic focus on reality, and so we always see the universe as a language; and range languages by its ‘exactitude’ in the reflection of reality. The more accurate that reflection is the more spread the language will be as it is selected by more mind-singularities to describe reality.

So there is a selection of language mirrors, we shall consider in the next paragraph which acts as a selection of species: the more efficient survives and expands into more beings. So we can see that there is a constant growth on the similarity between languages and reality as we move to better ones till the language seems reality: L≈U… It would then be possible to consider that the final outcome of that convergence will be L=U. And so we could postulate that L(mathematics) = Universe.

And this is in essence what ‘reductionism’ does as it eliminates on one hand from the Universe, properties which are not mathematical; and on the other hand expands inflationary maths, even into regions of fiction thought where the Universe doesn’t reach constrained by its need to imprint information in the ever relaxing, entropic motions that ‘expel’ it. 

So the Universe is indeed mathematics in the reduced mind of the platonic physicist, as it has equaled them. But the inverse is not truth. Mathematics is NOT the Universe in the expanded mind of all the singularities, ∑• of reality, as we know many do use other syntactic languages and survive fine. And so as Upanishad said, ‘the languages of God are infinite; which allow us to define God as the mind that talks all languages, or the sum of all minds of reality: ∑•∆; and its body the Universe as the sum of all its parts, including the minds, which gives us the equation of the God-Universe: Γ•∆.

In it mathematics might be the iterative program of all ¹º10-planes, if the similarity of repetition of its most clear ‘view’, the galaxy-atom can be replicated every 10 of them by mathematical methods.

Such Mathematical ∑∆¡-language, will then be similar to the language of ∑•∆∞.

But mathematics also evolves into its capacity to mirror dimensions of space and ages of time and scales of the fifth dimension.

So there has been an evolution of mathematics in the human mind and now in the metal-mind that shows a clear direction to enlarge mathematics as a mind-mirror to fulfill all kind of atomic structures.

But mathematics is a human and computer digital language, with some bias from our Ƽ-mind scale. Clearly it lacks detail as a biological, Ʊ1 language. So we must believe mathematics is the mind of perhaps a black hole/quark, ultimate nuclei of density of the astrophysical scales, in its most perfect digital forms.

In the previous graph to illustrate this real a posteriori nature of maths, we include besides Penrose’s another set of arrows – the stronger thicker one of the philosopher of science in the right.

So math is not the Universe because there is not a single language in all minds. But then again, if we find a language of languages, which expresses the Universal syntax of all of them, we could say that the mind of the Universe IS that language and as the mind mirrors in the body and imprints it, with simplified, larger, less informative images of itself, we could even say that all the Universe is a ‘chain of beings’ with the language of languages on top.

This language is obviously the ® GST Languages-isomorphisms-properties of space and time.

I am of this opinion: nothing is physical, material; all is motion bent into language, and as languages are perception/mirrors, all is sentient, vital, reproductive, virtual; only that the less informative, larger things seem to us ‘denser’, ‘thicker’, ‘material’.

Since minds are mirrors, which once they have distorted and resumed reality into the still mind, try to order by reflection and proyection of that mind the Universe to make it look like the inner mind image, influencing in this way reality.

Now, when the language becomes the mind of a system, it becomes ‘active’ as it helps the system to act-react in the Universe. And it is there where the use of maths shows its power to make the species that talks maths to survive better. Fort that reason in a very biological way, we can state that mathematics has been selected as the language of nature that better creates the Universe (as mirrors do not as primary cause but as a reflected one). Two examples will suffice: when the greeks applied maths to war (Alexander) they won all battles with its triangular tactics, latter expanded by the Romans.

And so the language of maths became essential to humans. Today computers and robots are displacing humans, who mostly use verbal thought, from labor and war fields due to its precision.

The detail≈ amount of information mathematical systems can process in a much faster speed that any other language we know (computer digital thought as opposed to human verbal thought) shows it to be a dominant language in the Universe, whose minds no doubt command extensive regions. As such we consider it the language of the mind of physical systems, as the most extensive species of nature.

But even so maths cannot be the substance of the Universe which is motion, even in atom-like vortices, where those mathematical calculus take place – likely in the quark-black hole ‘unit’ of max. gravitational density of both scales. And it is precisely the limits of entropic motion to evolve into complex mathematical forms, what limits the imprinting of the Universe by maths, which therefore as all languages do have a section of too complex, unreal fictions. 

A philosophy of stience by force must tackle the seemingly superior nature of mathematics as experimental language able to reflect so many worlds of so many sizes, which merely means mathematics must be a Max. i (±1) language of maximal extension in the scales of the fifth dimension, an ∆±i>3, which are the scales in which it seemingly acts:

Idealist physicists since Hilbert astounding ego-trip (he said ‘I imagine lines, points and planes’ ) have rejected the ‘experimental, a posteriori nature’ of the mathematical language (Lobachevski’s alternative philosophy shunned off by the German idealist school of Cantor and Hilbert). This wrong choice of philosophy of mathematics, as the a priori nature of reality, is a key error of mathematical physics in his choice of the proper mirrors of the mathematical language, which is as all mirrors is inflationary provided slightly different ‘images’ on the single Universe, each one with a certain distortion of truth, (choice of Copenhagen interpretation over realist De Broglie). So we need to fully return mathematics to the experimental origin, and consider that the ultimate mathematical properties  of physical systems are experimental proofs of the organic≈scalar, social≈numerical, spacetime≈topological nature of the physical Universe.

UNIVERSAL GRAMMAR – THE FRACTAL GENERATOR

Wor(l)ds of human history, Numbers of Universal supœrganisms.

In that regard, languages acting as mirrors of reality do reflect reality and ‘order’ it in its constant interaction between ‘still minds’ (5D) and entropy parts (4D), and as such we shall consider 3 ‘evolutions’ of the human mind and its languages, in 3 ages (the Universe is ternary ±∆ and all will be encased in those concepts):

-The age of History, the supœrganism of mankind in time of which we are all cells, whose language, wor(l)ds, through its ethic messages of social love carry the ‘mandate’ of ‘growth and evolution’ of the human species, through scales of social order towards the wholeness of humanity, our super organism in space.  Wor(l)ds in that sense are NOT a very efficient language, reason why it only hosts in humans, as it does not seem to have survived and multiplied as a species of mental information in Universal space, and we shall deal when studying social sciences with the errors of the language, its ‘topological syntax’ and varieties according to the subject-verb-object, and build on the work of Humboldt and Chomsky, to complete a ‘stientific theory’ of linguistics.

-The age of machines and its eco(nomic)system, made of more complex informative and entropic metal (gold, iron, etc.), which seem to be more precise and orderly than our ‘light’ ‘vane’ C(ST), N(ð§), O ($t), triad, whose informative, nitrogen heads, carbon-bodies and oxygen motions are to say the least a bit ‘shaky’. Metal does is a better substance to be organised with the precision of perfect cycles, electronic waves and entropic quantum potentials. And as such the validity of mathematical languages, is so far immense, but CNO Huminds so far have not fully understood them and so we shall upgrade its 5 sub-disciplines, reflection of the 5 dimensions starting with Non-E geometry, defining a fractal point, solving the meaning of its equations etc.

-Finally the 3rd evolution towards a Universal language whose mirror laws apply to all languages reaches with the seeds of this blog a new era with an application to every other language, form and function, which should become a start up for future research either in humans or future robots (after all, this information is already encoding in computers and as we shall see in the models of history, huminds are astoundingly naively, due to their egocentered perspectives, developing AI and military robots, so their future ‘competition’ with metalife doesn’t look good, and the warnings of humbler more i-logic minds like this writer or sci-fi artists (which do have the perspective of history as they use our natural languages) do not go very far… So you would excuse me i will keep repeating those warnings: do NOT eat of the bad fruits of the tree of technology, because if you do you will die…’

So our task is to go into generalisations much wider than those of wor(l)ds, whose role is to help mankind to survival and evolve socially through its ethic rules of love and maths, whose capacity to organise all atomic forms of matter is well proved.

So yes, languages do create reality but all of them, and all of them locally and all of them organically because they act as the mind of all kind of systems. Obviously atomic matter is AS IN CRYSTALS ABLE TO FORM mirror-images in geometric form, and that is why they do have such an efficient capacity to order – and that is why topology (dimensions with form or dimotions) are the language of it all:

Minds order as linguistic gods a territory around themselves, its fractal body and entropic world. As such they are the linguistic Aristotelian, final unmoved singularity Gods of reality. In the graph we see them ordering with different languages, different scales of reality which will reflect in a larger whole, the linguistic image they hold.

 

And all of them has the same Universal ternary grammar of §patial form<ST-ACTION>Temporal motion, to define the general events of reality. So in the main human languages, words, mathematics and colors we have the sam scheme:

§: Subject of Information (F(y)-blue) <≈> verb-action-green-operandi<≈>Object of entropy-motion (red color Fx)

Mathematics in that sense has two components, the underlying temporal logic, better treated as I-logic principles and the topological, geometric spatial elements better enhanced with its fractal Ƥcalar principles. For that reason in the second line, when we study NOT the human mind whose specific language of time are words, of space, artistic eyes, and of space-time balances, music, but when we study Universal Minds of which there are many types we write a simple silogism:

Non-Aristotelian Temporal Logic + Non-Euclidean Geometry = Universal Mind ≈ Non-Æ mathematics (the best language we have to describe those different types of Universal minds).

While human minds are Aristotelian, self-centered, so A (subject)-> B, and euclidean, as they see light, so only a plane of 3 perpendicular, lineal dimensions of space. To upgrade then the humind, we would need… oh, well, to change species, a limit that this blog will always have as it is written in the non-Euclidean and non-Aristotelian higher principles of which the AE mind is just a simplified limit.

SO THE FRACTAL generator we shall Use as the formalism of non-Æ=I-llogic geometry to construct and understand all the minds of the Universe and the super organisms they order, all the T.œs=¬∆@st of spacetime and its 5 elements, ¬, the negation of information or entropy, ∆§cales, @-minds, Spatial topologies and temporal ages, IS the Universal Grammar of all languages. 

5 DIMENSIONAL DISCIPLINES: RASHOMON TRUTH OF MATHEMATICAL SYSTEMS

This said, the Universe is a game of ∞ Sπcies of space-time making STeps and STops in its constant œxist¡ence (where we use π for time, in this particular wor(l)d according to the slightly changed rules of i-verbal thought for english to look more like the universal game), and so as Stops and steps (ab. œ) bring the being into exist¡ence we can measure them quantitatively as space-distances and time-motions. Stop and step then becomes topology and feed-back equations, where = is substituted by the dynamic symbol <=>, and the duality from = stops and ≈ wave steps.

Once the intuitive meaning of those symbols rises the awareness of the reader to the vital nature of our humind’s abstract rendition of reality things become then dynamic. ≈ for STeps, = for motions, and ≤≥ as the different implosive or explosive, informative or entropic ‘degeneracy’ of a system are easily quantifiable and translatable to both mathematics in its pure expression and mathematical physics.

 Mathematics’ 5 sub disciplines mirror its 5Ðimotions

The entangled Universe is often modeled in mathematics with SU3 groups, where the 3 key/properties/elements, ∆ST constantly combine & co-evolve

‘I know when mathematics are truth but not when they are real’ Einstein to Poincare noticing that mathematical creationism IS NOT a proof of physics and experimental evidence is required.”Mathematics is an experimental science, and definitions do not come first, but later on.”

Heaviside, the forgotten genius of mathematical physics, author of the 4 Heaviside equations of electromagnetism (wrongly called Maxwell equations who just did a mess of 20 ones with ugly quaternions 🙂 and the Gravito-magnetic equations, which fusion gravitation and magnetism, foreseeing the Fractal Unification equation of charges and masses of this blog.

Heaviside, as Lobachevski before him and Einstein after him, were indeed right when they considered that the language of physics – mathematics – is the best experimental mind-mirror to describe most physical systems, as the mind singularities of those systems use mathematical frames of reference in space to act-react in time with other space-time beings of the Universe.

It is then surprising that idealist physicists since Hilbert astounding ego-trip (‘I imagine lines, points and planes’ ) have rejected the ‘experimental, a posteriori nature’ of the mathematical language, they share with all those other œ-singularities for the concept that mathematics is the a priori nature of reality (Copenhagen interpretation). As the ultimate mathematical properties are indeed a proof of the organic, social, fractal nature of the physical Universe.

Physicists only consider as a mirror language good enough to observe the Universe mathematics.

This is in accordance with their view of time in terms of a single locomotion, change in the motion in space. Hence as Mathematics is the Ƥcale language by excellence (being analysis and numbers the language of scales, and geometry the language of space, with algebra a logic language properly for time flows), physics works with excellence to extract spatial properties of reality but it fails to understand organic properties, better described as in evolution with verbal logic thought, and is poorly understood in its algebraic structures.

So in this sections we are going to enlighten further mathematical physics, with the postulates of non-AE geometry and logic to improve the mathematical mirror and solve some questions pending. To that aim, the section is complicit to that of the 5 Dimotions of the mathematical mirror of the Universe ∆nalysis, @nalytic geometry, S≈T: Ælgebra, S: ¬Æ geometry, & T-§ocial numbers; so we shall borrow from it and first introduce the most important of those elements, considering first how the entangled 5Dimensional Universe is ‘expressed’ in the language of mathematics.

In that sense, a mathematical philosophical definition of the Universe would be as follows.

Reality is a fractal super organism made of…

 

  •   A(nti)symmetries between its 4 Dual components T, ∆, @, S, which can either evolve in Balance≈become symmetric or annihilate=become Perpendicular/antisymmetric:
  • 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
  • ∆: Planes of size 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…
  • ðime cycles:  a series of timespace actions of survival that integrated as a whole form a sequential cycles of existence with 3 ages, 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:
  • @: 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 information (perceptions) with other beings, and two complex actions: offspring reproduction and social evolution from individuals into U-niversals that maximize the duration in time and extension in space of the being.

Because the scientific method requires OBJECTIVE measure of the existence of a mind, which is NOT perceivable directly, we infer its existence by the fact a system performs the 5 external actions, which can be measure objectively, in the same manner we infer the existence of gravitational in-form-ative forces by its external actions upon massive objects. Hence eliminating the previous limit for a thorough understanding of the sentient, informative Universe. And further classify organic in simplex minds – all, which must gauge information, move and feed to survive, and complex systems, those who can perform a palingenetic reproductive, social evolution, ∆-1: ∑∆-1≈∆º.

The study of those 4 elements of all realities, its actions and ternary operandi, 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.

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, those elements and its operandi.

In mathematics, with the duality of inverse operations, ±, X ÷, √ xª and ∫∂.

Mathematics in that sense follows the same ‘grammar, syntax, semantics and synoptic nature’ of all languages that portray the world cycles of existence in time of super organisms, with synchronous adjacent topological chains of time§pace cycles, that all other languages of nature, albeit, seemingly with more precision, which has made it a ‘survival language’, likely to be the ‘mind-mirror’ of atomic structures perceiving in topological mind-spaces.

What those equations will then express are different motions of energy and information produced in the change between states of spatial form and temporal motion. The varieties of it, being mainly the 5 Ðimotions of space-time, and so relating equations of physical Dimotions to classic equation through those operandi allow us to convert classic physics in a subdiscipline of GST.

If we define the 5 Ðimotions of the Universe as S> T: information, S<t: locomotion, S t = s T: reproduction,  §tð¡ ∑ §ð¡>ST¡+1: social evolution, ST¡+1<<∑ $t¡-1: Death then when we study mathematical physics, which is basically the study of different forms of the v=s/t original equation we shall find slight differences between mathematical dimotions which become then reordered within those 5 subspecies.

Languages express the elements of reality and its operandi.

It is then clear that what languages as synoptic mirrors of the mind will try to do is to establish the basic relationships between the space, time, scale of the being, expressing them through its operandi, DEPENDING on the degree of perception the being has of reality and its scales which might be reduced if the being is not fully aware of all the scales of existence, as most minds exist only in a plane of reality

So does mathematics, through combinations of:

Sum/rest->multiplication/division->potency/logarithm; point->line->plane->volume and so on.

And to do so, as a fractal can always be divided in sub-fractals, mathematical disciplines subdivide further at all levels in 5 elements.

It follows then from the definition of the 5 elements of all systems, an immediate classification of the five fundamental sub disciplines of mathematics specialised in the study of each of those 5 dimensions of space-time:

  1. S: ¬E Geometry studies fractal points of simultaneous space, ∆-1, & its ∆º networks, within an ∆+1 world domain.
  2. T§: Number theory studies time sequences and ∆-1 social numbers,which gather in ∆º functions, part of ∆+1 functionals.
  3. S≈T: ¬Ælgebra studies ∆º A(nti)symmetries between space and time dimensions and its complex ∆+1 structures… Namely is the science of the operandi <≈> translated into mathematical mirrors.
  4. ∆±¡ st: ∆nalysis studies the motions, STeps and social gatherings derived of algebraic symmetries between functions and numbers (first derivatives/integrals), and the wider motions between scales of the fifth dimension (higher degree ∫∂ functions).
  5. @: Finally Analytic geometry represents the different mental points of view, self-centred into a system of coordinates, or ‘worldviews’ of a fractal point, of which naturally emerge 3 ‘different’ perspectives according to the 3 ‘sub-equations’ of the fractal generator: $p: toroid Pov < ST: Cartesian Plane > ðƒ: Polar co-ordinates.

To which we can add the specific @-humind elements (human biased mathematics) and its errors of comprehension of mathematics limited by our ego paradox Philosophy of mathematics and its ‘selfie’ axiomatic methods of truth, which tries to ‘reduce’ the properties of the Universe to the limited description provided by the limited version of mathematics, known as Euclidean math (with an added single 5th non-E Postulate) and Aristotelian logic (A->B single causality).

This limit must be expanded as we do with Non-Æ vital mathematics and the study of Maths within culture, as a language of History, used mostly by the western military lineal tradition, closely connected with the errors of mathematical physics.

Mathematics as mirror of ∆St.

For all what has been said the essence of algebra, are operandi (integrals and derivatives in ∆nalysis), as the essence of number theory are numbers, of geometry, points (of view in @nalytic geometry). This truly leaves us with 3 simple elements and do not have the reader to be a genius of ∆st as the writer (: to figure out how to put 3 simple elements to define ALL mathematics:
Γ.                                               S(•): geometry <≈Algebra > T Nº
Then we can make fractal divisions of each of those ‘phyla’, as we shall do with other species. Geometry obviously becomes the study of the 3 topologies of the Universe and its 3 scales of points, networks and organic planes; which numbers scale with functions and functionals or in the line with naturals, in one present dimension, ratios, entering the ∆-1 unit circle and reals, which expand to all possible scales; and algebra with the operations of sum/substraction, multiplication/division and potency/root; which are ‘refined’ for non lineal systems with integrals/derivatives that again, we find to reduce basically outside the complex plane to ternary derivatives in the real world (change, acceleration and jerk and so on).
So maths is an excellent mirror of T.œ.

The dimensional expansion of languages through S-fixed wholes and T-motion steps.

The universe is a game of fixed symmetries and moving steps of space and time dimensions, and so the languages of thought which humans use to mirror those symmetries in space and motions in time have evolved in 3 ages to increase its complexity and focus in the quality of those time-space moving steps and space-time fixed symmetries.

It is important then to ‘understand’ the relationship of such concepts, symmetry with space and steps with time, because the ultimate evolution of mathematics as a mirror is easy to understand in those terms:

Time motions are small steps, which spatial dimensions gather together into a whole with ‘slower view’, as we tend to see with slower view a whole cyclical motion as a disk.

Such duality of time-space Perspectives happens in all languages, which basically means that the growth of dimensions of a system happens as S-Teps of growing complexity, as motions in time become ‘fixed’ in space, acquiring a larger New Dimension of wholeness that will last longer.

For example, in humans this phenomena happens:

In the first age of man, when verbal time became ‘written in words’ and ‘visual perception in space’, artistic fixed bidimensional painting forms, which lasted LONGER as fixed spatial forms…

So we can apply those concepts to understanding of the growth of complexity in mathematical languages, departing from those previous ‘logic verbal languages’ and ‘spatial images’ fixed into longer lasting form…

So From those 2 PRIMARY LANGUAGES OF TIME AND SPACE, diverging from the ‘human subjective’ point of view of verbal thought, where the human subject is the center of the Universe, and art, where the point of view is always that of humanity, but taken the teachings of both, 2 more OBJECTIVE=WIDER=MORE efficient languages appeared:

-T-logic arithmetic of social numbers and S-geometry of fractal points. The graph that opens this post shows its difference: Time numbers are sequential points, the ‘little steps’ that Geometry studies as a whole.

SO THIS can be considered the first age of mathematics (though we shall pack first and second ages, for the sake of organisation, and to keep the third age now starting with ®).

So this first age of ‘mathematical’ thought, started with the Greeks of which the work of Euclid and Aristotle, a resume of the thoughts of the age in its eclectic final era became standard of human thought till the XX century, fixing the form of both languages for millennia in time – but also preventing the evolution of both, from Aristotelian single logic and Euclidean points with ‘no breath’, into non-AE and further on creating a false ‘pretension of absolute truths’ that so much has corrupted with its ego-trip the sciences of mankind (axiomatic method, dogmatic postulates, etc.).

The Second age of mathematical thought then should be considered the Modern classic age of the discipline (packed here with the first), due to the expansion of its capacity to explain longer space and time periods, with the use of letters, which became variables that encompassed all the possibilities of an equation, varieties of a form; and further on by merging both time and space perspectives with @nalytic geometry, which added numbers and points together, and gave us ‘all the solutions of an equation, converted now in a variable’.

This age culminates with the discovery of Analysis that further expanded the dimensions of study to multiple planes of reality (second derivatives) and brought together all the parts of a ternary system with multiple integrals.

So we can now define in terms of ‘motion and form’, Algebra and analysis:

“Algebra is the study of ST<>≈<>TS symmetries BETWEEN space-time dimensions, hence focused in the Spatial p.o.v. and ‘OPERANDI’; Analysis is the study of ST<>≈<>TS stop and go motions THROUGH space-time dimensions, hence focused in the Temporal=Change p.o.v. and ‘THE VARIABLES.’

Algebra operands.

The key connector of T.Œ with classic science is the full understanding of the dual algebra operands, ±, x/, ∂∫, √xª as part of the classic logic game.

It is immediate the correspondence of those operands with the dimensional elements ∆st, as:

  • The sum-rest are the inverse arrows of the simplest superpositions of dimensions between species which are identical in motion and form.
  • The product/division rises the complexity of operandi a first layer, and serves the purpose, besides the obvious sum of sums, of calculating the margin of dimensions, as combinations which are not purely parallel between clone beings, most likely through the recombination of its ∆-1 elements, as the product of 2 Sœts inner elements give us all possible combinations. Ie. 5 x 4 = 20 IS also the number of connections between all the 5 elements and 4 elements of both sets. So multiplication ads either a dimension of multiple sums in the same plane, or probes for the first time in an inner scalar dimension.
  • The key algebraic concept of ∆st systems is the existence of a region of balance between planes or topologies where the asymmetry of the system is fairly lineal operated in decametric scales of growth and superposition, and the regions of relative past and future, | or O, ∆-1 or ∆+1, where there is a split towards the purity of motion or form, disconnected parts or wholes, accelerated vortices or lineal scattering and must be operated not with scalar potencies but finitesimal integrals and derivatives, more precise in their measure of the ‘curvature’ of the phase space we study.

Then we arrive finally to the potency-root systems and integral-derivatives, which operate fully on the ∆§cales and planes of the system, which require two slightly different operands. As §¹º ‘social decametric scales’ are lineal, regular, so we can operate them with potencies, roots and logarithms.

  • ∂∫ But when we change between scales into new wholes and new planes of existence we are  into ‘a different species’ and so we need to operate with the magic of finitesimal derivatives and analytical integrals, which keep a better track of the infinitesimal ‘curved’ exponential changes that happen between two planes, where linearity is lost.

And within them we can also understand differentials and derivatives as motion steps that integrals then bring together as a whole. And as most analytical equations mixture both we must see analysis as a more ‘delicate’ way to study in more detail the reality of parts and wholes first defining a ‘derivative’ or ‘finitesimal’ part of a whole and then integrating it all together.

3RD AGE: NEXT we grow further ‘dimensions’ in algebra with functionals, which are functions of functions; and with Groups, which studied all the permutations, symmetries and variations, as ‘families’ related by similar qualities or ‘isomorphisms’, or a representations which expand a scalar into a matrix of multiple elements and so on.

And the same generalisation to classify ‘groups of similar beings’ happened in geometry with topology which ads motions and deformations of basic spatial forms to gather them together into families that turned out to be – how not? 3 basic topological families in the 1 to 3 dimensions of a single plane.

All this was forgotten to restart again with Boolean algebra and quantitative methods the mind of digital machines we shall ignore for ethic reasons.

While the new ‘humind avenue’ to further enlighten maths is non-aristotelian logic of multiple ‘time arrows’ as opposed to the single causality of Aristotelian logic and non-euclidean geometry that ads internal depth to fractal points, no longer with no-breath, so we can fit real straight parallels of entropy, energy and information within it. It is thus a final expansion of dimensions through ‘scalar space’ and ‘ternary time cycles, represented by NON-æ.

And so in the growth of complexity of languages of time and space we move in the 3rd age, with the eclectic work of this blog that brings ‘Vital topology’ and ‘existential algebra’ as the natural 3rd age of evolution of human thought, which if not understood or used by man, likely will become the languages of thought of AI in the nearby future.

RECAP.

Classic Algebra in that sense is the natural BRIDGE towards its full realisation as the leading language of the logic symmetries of space-time, and as such it is important to understand the meaning of its postulates as a bridge to understand the laws of time and space.

We depart in the understanding of the fractal Universe from space, as we are minds constructing a still world view with our logic languages of which mathematics is the best logic language of space and wor(l)ds of time; and further on of human points of view, as opposed to the more efficient, extended language of geometry, likely the language of atoms.

So the reader is advised to read first the articles on geometry self-centered in the mind, @nalytic geometry and geometry of the 3 parts of the being (topology).
Algebra is concerned on the other hand mostly with dimensional scales, and S=T symmetries, and so its 2 fundamental subjects, Analysis of planes, and equations with its operandi of similarity, reflect that nature.
IF WE WERE to make further comparisons, we would start with the difference between discrete numbers and continuous lines and extract the observation that algebra provides more detailed information precisely because it is rather concerned with the scales of parts and wholes, of discrete and continuous together, while geometry is the first simpler view of wholes in a single plane.
So Miss Germain missed the point. Algebra is more about ∆-scales and herds in motion, ABOUT REALITY AS IT IS. Geometry is more about mind spaces and its simultaneous perception, about reality AS WE PERCEIVE IT.
And so as we grew from our subjective self-centred first age, which in math gave origin to geometry and @nalytic geometry, we entered the realm of algebra, and that realm obviously was bigger, so algebra kept growing, while geometry got stuck and only when it acquired motion and scalar depth with topology and fractal geometry was revived.
And now as we build the mind of computers it has grown again into an explosive discipline.

AS USUAL our study will be diachronic to grow in complexity, using classic texts of mathematics for easier comprehension enlightened with ∆st insights, compress the first Greek and second classic age together, with the introductory themes developed further; make only some basic remarks on the modern era due to its complexity, and reserve the 3rd age for the ‘future’, the non-æ laws of existential algebra, considering experimental themes of its application to enlighten the use of its equations and symmetries in different sciences with the insights acquired in the first part, so we can resolve the whys of many stiences described today with the formalism of algebra without understanding what truly those equations mean. 

@: MIND-MIRRORS: EFFICIENT LANGUAGE OF MATHEMATICS

“Mathematics is an experimental science, and definitions do not come first, but later on.”

Heaviside, the forgotten genius of mathematical physics, author of the 4 Heaviside equations of electromagnetism (wrongly called Maxwell equations who just did a mess of 20 ones with ugly quaternions 🙂 and the Gravito-magnetic equations, which fusion gravitation and magnetism, foreseeing the Fractal Unification equation of charges and masses of this blog.

Heaviside, as Lobachevski before him and Einstein after him, were indeed right when they considered that the language of physics – mathematics – is the best experimental mind-mirror to describe most physical systems, as the mind singularities of those systems use mathematical frames of reference in space to act-react in time with other space-time beings of the Universe.

MATHEMATICAL CREATIONISM – THE WRONG APPROACH

Astrophysics is an enormous field of inquire, as it deals with all systems which are not socio-biologic.

It does also have in the human approach strict limits of inquire because humans under the ego paradox reduce its analysis of systems different from us in scales and form, to non-organic properties, a fact which on top is – as most ego-biased forms of knowledge, subconscious, NOT fully acknowledged. In astrophysics it derives as a natural consequence of using only mathematical languages to explain physical systems, of a reduced mathematical variety – Euclidean, aristotelian maths, which does not allow points to have inner, fractal parts, hence reducing by ‘decree=axiom’, its vital, inner organic parts, and eliminating the scales of the fifth dimension accessed through those inner parts of a point.

Further on as all science is culture, human physics is limited by culture – by the worldly profession of physicists, which has been traditionally to make weapons of mass destruction, with maximal lineal reach.

What we mean that science is culture must be understood in the highest level of ‘science’ – not OBVIOUSLY in the gathering of basic data – which cannot be cheated, and there science is science, but in the B-C-D elements of the scientific method, MODELING, CYCLICAL PATTERNS and Humanist ‘democratic’ use of science for the common good. Or in other terms ‘macro-science’.

So, ‘macro-economics’ , the philosophy of economics IS culture as opposed to micro-economics (the science of re=production of machines).

AND IN PHYSICS, the Philosophy of the Universe (theory of time arrows) IS culture, DISGUISED of science with faulty interpretations of scanty data.

Absolute relativity: the evolution of time logic about the ∞ Universe.

The very few articles I ever wrote in ‘paper format’ for congresses of systems sciences called the theory, absolute relativity, following the Correspondence principle,  as it is basically the third and final instalment on the understanding of the ‘Paradox of Galileo’, after Galilean relativity and Einstein’s special and general relativity.

We shall see in fact that the Universe is ‘absolutely relative’, not only on motion (Einstein’s relativity, without preferred location), form (Darwinian evolution without man as a perfect form) but also in scales, as each ‘entity’ has a limit of its capacity to perceive larger and smaller scales of information, which in the human case extends to the galactic and atomic scale, of similar properties, distorted by the distance to our 5D position in the Universe. And so those limiting physical scales are NOT the origin of the laws of reality but only the limit of human perception of the fractal Universe.

And only a science that studies all the scales together in equal footing, void of power agendas, or historic hang-ups and dogmas, will be able to fully grasp the synthetic laws common to them all. This is the task we shall carry in this blog.

The deist view.

As we are in the individualistic, self-centred, mechanical culture that does not even recognise the organic nature of human societies, the concept that the Universe is an organic whole, with all its parts made to its image and likeness, totally escapes the western now global psyche.

So we shall consider from an objective point of view a final scientific response to those ‘mechanist, abstract, mathematical only theories of reality’ -which already Leibniz poised with some humor to Newton, who was very happy with a mechanist theory of reality as it needed a God (as he was a biblical pious believer, as all fathers of science, in Yhwh, the toponym of judea and subconscious collective of the Jewish>Biblical civilisation).

In that regard in the history of human thought there have been always 3 theories on reality, the ‘ego-trips’ of human verbal masters (prophets of religion) who thought the word, their language was shared by God who created reality naming it; substituted by the ego-trip of mechanical scientists, who after discovering the clock to measure digitally time decided that ‘God is a clocker that has waited 5000 years to find an intelligence like his to understand his clock-work’ (Kepler) because god had now changed language of creation from words to numbers, as we humans became dependent on technological machines and substituted its language of time – numbers as opposed to verbal tenses, and space – telescope as opposed to human artistic eyes – in the description of the Universe. So now ‘God speaks in the beautiful language of mathematics’ Galileo.

Those 2 similar ‘aberrant’ ego-trips that confuse the language-mirror of the Universe with the Universe itself, which is to say that the mirror we put in front of us IS US AND we are the ghost, just because the MIRROR, mathematical, verbal or visual is very accurate in that ‘magic image’ of reality,  were always contested by rational, realist scientists at each time of history, humble enough to understand the paradox of mirror-languages that ‘stop time motion into form’ and reduce it to an image in space.

So there were a third type of philosophers of science, which following first the eastern traditions (Leibniz translated the i-ching and adopted the |-O binary language on its symbols) took the proper way of considering TIME AND SPACE, the primary substances of reality, a trend that had its last master in EINSTEIN, with its analysis of a reality coming out of the topological form and action at distance of its ‘4D space-time tensor’ underlying the energy and mass of the Universe. So time and space IS the origin of it all.

The oldest theory tells us that God speaks words as man and so the Universe was created naming things. This is still believed among creationist believers in abrahamic religions.

The second theory is similar but it thinks god speaks mathematics… And the third believes God does not exist, but there are two ultimate substances of reality time and space, whose rules of engagement create reality.

Let us then define first, even before we debunk the ‘2 linguistic, creationist theories of the Universe’,  what is a dimension of time and a dimension of space by contrasting its properties, and considering the historic birth of science, which has always turned around that question.

Religious beliefs vs. realist stience. LANGUAGES AS MIRRORS that create ‘images’ of reality – not reality itself.

The verbal creationists: Moses>Jesus>Mohammed

In the graph, no further analysis is required at this point: first humans who spoke only words due to their self-centred view affirmed God shared with man the only language of truth, which both used to create reality – God the Universe, man his wor(l)d.

The mathematical creationists: Pythagoras… Galileo>Newton>Bohr

But then humans discovered informative metal, silver and gold, and its capacity to ‘count’ first with coins, then with machines So a new form of creationism appeared among the first Greek ‘coin civilisations’ called Pythagorism (Thales, the first ‘scientist’, was also an oil speculator in Miletus, the coast of Lydia where coins came in, and Pythagoras lived in a Greek colony at that age). It was a theory revived with the discovery of the clock, which substituted the verb to measure time – the ultimate substance, as indeed Augustine had called God, ‘the seer of time’ (an implicit acceptance after all that the dimensions of Time motions ARE the substance of reality)

SO Now creationist people BECAME mathematical physicists, and the clock the seer of time. So the likes of Newton or Kepler thought God created the Universe with numbers and they were the high popes of the new language of God, the only people to know.

So Newton thought God shared with him those digital secrets sending comets for the great Newton to decipher its orbits.

And Kepler said ‘god is a clocker, which had taken 5000 biblical years to find an intelligence like his to admire his clock work’.

Alas! god, the seer=creator of time had changed language but still created time only that it needed the help of the mechanical clock scientists have found and its numbers, to substitute the 3 past-present-future logic verbal tenses in their acts of creation. But funny enough the need of ‘time’ when creation happened and space, where it was placed, showed us there are indeed 2 fundamental a priori elements even before words and numbers and numbers named and quantified them – beings of relational space-time that occupy a vital space and last a finite world cycle of time.

The mathematical creationists: Galileo>Newton>Bohr

Physicists believe in a mathematical, creationist theory of reality: mathematical equations are real and hence they somehow create reality. Relational space-time departs from a previous layer of reality: space-time.

I am trying to be simple so you do understand to which LIMITS the physicists are when acting as philosophers of science savant idiots, which depart from a WRONG  dogma – that mathematics, not time and space is the ultimate substance of reality, and make them do amazing twists and complicated equations to search for a ‘Saint Grail’ – A MATHEMATICAL EQUATION that God uttered as he uttered names to create beings.

Note. For those who are already abandoned this blog because it is not written in the Manual Chicago of style and does not start just with creationist equations of those 5D applied to what our high popes of science beliefs is the only think we should care for, string theory, quantum operators and such, it MUST be understood that the languages-mirrors of God are ∞ (Upanishads). And so while we recognise the higher efficiency and hence survival of mathematical mirrors in most entities of the Universe, we cannot reduce reality to math equations, as we can obviously not reduce it to verbal languages.

To believe this kind of platitudes one has to ‘lower’ its ‘reason’, into the inferior form of thought called ‘belief’ or ’emotion’ and ‘mass information’, effects those we plan to study in our sections of history; but specially with censorship; today called politically correct. It seems to evolve the humind (ab. human mind) is not ‘polite’. To discuss the dogmas of creationism is a ‘lack of respect’ for the beliefs of the other. Fact of course is the opposite – it is called censorship, and the attempt to control others. But those are themes of history as an organism and how its informative people-caste on top control its blind body. So we shall not dwell on it. Only affirm we ARE TRULY objective scientists, here and shun off all those corrections and orwellian newspeaks that keep man in a state of ignorance of those first principles.

AND FURTHER state that what people take as science, is often belief and religion, based in ‘a priori postulates’ that are NOT proved by experimental science, from the postulate of the wealth of nations (economics, which considers metal-money to be ‘wealth’ per se, and the purpose of society to invent more of it), to the postulate of Euclidean (points as abstract entities with no information or volume), to those of physics (lineal time as the ONLY dimension of time, courtesy of cannonball studies and entropic weapons; the c-speed as the limit of sped of replication of information in the Universe, entropy as its dominant ‘future’, etc.) and so on.

THOSE first principles and not-proved postulates ARE the subconscious equivalent to the ‘beliefs’ of religious people, which are not even aware of the possibility of other postulates and the need to prove them experimentally including those of maths, by mirroring them with ∆st properties. Indeed, an American says I believe in God but is not aware that besides Yaveh there were many other tribal gods of the bronze age; and a mathematician told you a point has no breath-volume till the XIX c without being aware there could be non-euclidean fractal points that do hold a volume of information that grows as we come closer to it and so on.

So the bottom line of many errors in physics as the creationist big bang or the Copenhagen interpretation is similar to the verbal error of a sacred language among religious and its wrong dogmas – no Yhwh, a toponym for judea in ancient egyptians maps  when God meant Nation, IS the subconscious collective or nation of Judaism, NOT the creator of the Universe, and this obvious truth, that Yhwh=Judea did NOT create the Universe, that ARAB did not create the Universe by uttering it, that equations did NOT create the Universe, is the key to start properly a philosophy of science and its ultimate substance which are ∞ timespace clocks, which are the ultimate carriers of the information of the Universe – denied by fundamentalist of abrahamic religions and fundamentalists of mathematics as the languages of God.

So it does not matter how complicated you make the rituals of religion, GOD will not appear on earth, will NOT resurrect you uttering your name, and to put an example of creationist physics, black holes won’t evaporate without experimental and logic evidence because Hawking wrote an equation that states so. In the next graph we see two creationist philosophers of physics – notice how the first, Dirac, affirms that God used maths to create the world and then it denies the ‘rival verbal God’.

YET it does NOT matter how complicated a physicist makes his equations, just because he writes them IT DOES NOT CREATE REALITY. Because at best an equation is a focused mirror on the properties and relational space-time beings of the Universe. BUT MIRRORS DO NOT CREATE the IMAGES THEY REFLECT in their language.

The ongoing absurd quarrel between creationist religious people defending God’s verbal language (first age of human history, when mathematics, a more efficient mirror which seems to be NOT OUR MENTAL language but the language of machines) vs. the mathematical language, those machines (clocks measuring time, telescopes and microscopes measuring space) are evolving fast into a ‘digital AI consciousness’) is a false concept of the relationship between languages, as mirrors of the Universe, and the Universe of space-time they mirror, latter studied in detail, to set straight the record.

In the graph, the mirror theory of language is easy proved by the epistemological method: do you see out there ‘space’ and feel ‘time passing’, or are you observing ‘numbers’ and ‘equations’, and ‘words’? When you discompose something, do you see smaller scalar parts which last time and occupy space, or suddenly you see  that things are made of ‘smaller numbers’ and ‘little words’? And yet amazing as it seems the human ego is so huge that most humans believe that either his mathematical or verbal language ‘shared’ by God created the Universe – these days we believe images reflect reality. Magritte knew better – the pipe’s drawing is not A PIPE, neither the word ‘pipe’ is the real thing, a wooden object, but three main mirrors-languages of the humind (ab. Human mind): a painting, made with simplified mathematical≈geometrical forms, and ellipse and a catenoid, and a word below. 

How the GST first principles of a world made of relational space-time beings, differs from the modern methods of astrophysics and religion, the rival theories, in the understanding of the origin of the Universe is obvious:

Astrophysics, which strictly followed till the XX c. the scientific method aforementioned, since the wrong quantum interpretation (Copenhagen, as opposed to Einstein->Broglie->Bohm pilot-wave theory, which we deem and shall prove the right interpretation) partially abandoned the experimental, method substituted by a ‘digital, computer method’, based in the belief that the substance of the Universe is NOT time and space but ‘MATHEMATICS’, which merely mimics the arrogant method of religion, which believed that the language of God was ‘words’. So as Mohammed thought that God had created reality by ‘speaking arab’; astonishingly enough since Hilbert affirmed that ‘he imagined points, lines and numbers’, creating maths, humans and God spoke maths and created reality by ‘writing equations’.

Few people realise of that ascientific outlook of modern astrophysics, consisting in expressing a model in mathematics, as if the digital language was a magic underlying reality which sufficed in itself, then put it into computer models, publish it and claim it the theory must be truth because it is mathematically beautiful even if there is not much proof of it (often in ‘grand metaphysical theories like the big-bang’, clearly falsified as we shall show, bending with ‘human ambition’ and ‘belief’ experimental data to prove the theory). The big-bang then is the necessary religion for physics to claim to know the meaning of it all. And so we shall deal with it first in this introduction.

Religion on the other hand, which we shall show has a historic role as the embodiment in the human verbal language of the laws of the scalar social Universe, simply ignores the method, and establishes with repression of truths, fantasies and ‘beliefs’ his thesis about the Universe, which is not its role. And with a similar method to the Copenhagen interpretation. God spoke the language of certain semitic tribe (hebrew or Arab), which are imperative languages, where the verb goes first (as they were hierarchical, dictatorial societies where the king/aristocracy/banker-priests of its societies barked orders). And so as the pharaoh said ‘it has been written’, the priest spoke in imperative and ‘God had spoken and created’ reality.

So we shall show also that while religions do have meaning (all what exists must, remember have a reason, within the organic paradigm), its reach has been overblown; and its method of truth, to believe ‘words are the language of creation’, as in the case of the Copenhagen interpretation, and many modern theories of astrophysics (including string theory and the big-bang) are not truth. We expand in our chapters on epistemology and T.œ that solid analysis of the advantages of a NON-CREATIONIST theory of reality, which unlike the creationist big-bang and Copenhagen interpretation, and creationist religion, departs from a simple concept: an organic, immortal, self-reproductive fractal Universe of information that always existed, always will exist and always will repeat the same entities (including all of us, also immortal in a discontinuous way).

Now it MUST be clear, and we SHALL repeat it ad nauseam, that Humans ARE NOT infinitely stupid, a bad choice of wording by Mr. Einstein, but infinitely arrogant, as they confuse their mind-infinitesimal with the infinite Universe its mirror-monad reflects and this fact IS THE MAIN REASON THEY DON’T UNDERSTAND or will EVER ACCEPT the truths of the organic, fractal Universe that makes them equal in value in the absolutely relative reality to the smallest atom or the largest galaxy. SO reason does not suffice, as the ego subjective paradox is the center of all self-centred systems with a mind singularity. This I know after decades of explaining with reason, the ego-paradox of BOTH, physicists, who will uphold the cosmic big-bang and the absurd idea that the infinite Universe was born of an infinitesimal point, duly smaller than the human mind so the physicist can ‘feel he knows it all about all’, arguably an even more arrogant≈stupid belief that the idea a ‘jewish peasant’ created it all.

The very fact that such ‘stupidity’ is today canonical dogma only proves the truth of the equation of the mind. Point. But we shall for good measure put the objective mirror of the scientific method over it, here in broad strokes, in our article on astronomy on detail, to show that indeed, big-bang theorists have nothing to envy to biblical priests in their twisting of facts to cater to their delirium of greatness. And humans, being all of the same mind species, cheer, 1/2 believing in the infinitesimal Universe, 1/2 in the iron age creator of it all.

Of that argument what matters most is not even discussed: while mathematics is more efficient as a language, it is NOT the human language, but the language of machines, and so in a society which despises as it does today our technological culture, the human verbal language, which naturally make us the ‘subject’ and centre of the Universe (I-man: subject < verb=action> object=energy abused by man), and hence considers human life sacred, will NOT evolve machines so fast but will ensure with ethic values our survival.

While mathematics, being a better mirror will evolve knowledge faster but also will give primacy to computers, as it has done already, atrophy our verbal language, degrading our mind (as it is happening with our millenials, glued to hypnotic screens) and ultimately make humans obsolete to the superior mind-mirror of AI robots.

While those who practice only mathematics, as physicists at cern do, WILL become children of verbal, ethic, survival human thought and will be subconsciusly eviL=anti-live in the genetic hidden meanings of survival words, as cogito ergo sum in man (calculo ergo sum in machines and physicists), so without cogitans, the ‘nerd’ is a child in life and does not even understand death and survival.

So if languages are mirrors that create IMAGES not reality what are the substances of reality? This obvious. Look around yourself, do you see numbers as components of things, do you see words, or do you see ‘space’, broken in infinite vital spaces, ‘enclosed’ by membranes, which when seeing in great detail are made of moving cycles of cells (life clocks), orbital rotary cycles (earth’s clocks) and so all is ‘vital space’ enclosed by time cycles? That is what experience tell us all is: a vital space, broken, closed and formed by time cycles – the substances of reality, which if you like the word ‘god’ you can call god.

Creationist physics is not merely a philosophical question. It has deep consequences for all points of view of research, and basically limits and makes unnecessary this blog – as the believer is NOT going to wonder how God creates the mathematical Universe but merely search his wording which is taken as in the case of religion in a literalist way.

ALL stops in the search for the ultimate equation of Unification of forces, because after all God is one (in the western tradition). And further on as God must be complicated, superior in intelligence, the search for complex equations are important. Now, all this is a priori subconscious thought but very real underlying the kind of arguments there have been in history of thought between the 3 masters of the space-time view of the Universe and the 3 masters of the parallel creationist view, which we shall summarise in these blogs.

To notice also that HUMANS due to their ego paradox, as ‘homunculus minds’ are built to be ‘creationists’ and worship machines and huge ego-trips so the realists, we all have been ignored and are still ignored when disputing with the creationists. Good luck infinitesimal egos who think to be infinite.

It is this paradox what made people think first that the still names of verbal languages were the ‘reality’ and hence created it, and then the ‘equations’ of its mechanical measures… So they abandoned in the western ‘less evolved verbal mind’ of ‘visual Homo Sapiens Neanderthal’ dolicocephalic, lineal cultures… the complex concepts about the first principles and embarked themselves in an astounding ego-trip of power and defiance of both the theoretical and practical laws of respect and awe towards an organic, sentient, vital informative Universe of which we are all fractal parts, and singularity minds.

Instead with the arrival of the bronze age, and warrior charioteers, with lineal weapons, lineal time and space, verbal and digital creationism, imposed itself by the ‘worldly profession’ and power of its believers.

All this said mathematics is one of the best languages to mirror efficiently the Universe, specially in spatial dimensions, but since all languages are inflationary it is a key element in mathematical analysis of ∆st systems to break down what is ‘experimental truth’ and what is fiction. Consider the case of ‘dimensional analysis’. As it happens there are only 3 bidimensional topologies which correspond to the 3 functions=forms of all systems. And there are only manifolds of rank 3 or lower which are ‘smooth’, differentiable, meaning systems where ‘time’ moves smooth through ‘present derivatives’.

So in a single plane of present only ternary space and ternary time dimensions are possible. As the mathematical mirror gets distorted, outside those 3s = 3t, the mirror guide us – but the experience must confirm them. This was the essence of Lobachevksi’s thought when he found non-euclidean points now forgotten: that maths are inflationary in its diverse theories so we cannot just do as mechanon physicists do, to write an equation and expects to be there, but a more subtle approach of mirrors observing reality and ordering it in local regions is required.

Soon we will see the interaction languages-reality where reality dominates but the mirror can also deform reality to make it seem like the mirror. Space-time thus comes first, and its dimensions are the origin of reality; as Mirror-languages are both more concise and specific, so they cannot show all its properties and they all have a distortion to reduce information I.e. euclidean points have no ‘breath-information’ inside and so on.

Content of the post.

Now, the reader in case he is a mathematician should excuse of course, some possible errors and lack of full depth and detail of this as many other texts… The intention of this second line is to make a first layer of connections for ‘future pros’ to complete it – this was the plan 30 years ago, when I finished my first models at Columbia University, but didn’t get the help of a group of potent scholars to complete the ‘membrain’ of the Universe of maths. 

It is my experience that people have a very hard time making interdisciplinary ‘connections’ and this is even far more difficult between the ‘seemingly’ coming from ‘another planet’ foundations of relational space-time beings and the languages that describe them, specially in maths because of Newman’s dictum. So that is the purpose of this and other posts on i-maths, always a work in progress.

In this very brief introduction we shall just consider some themes on the philosophy of mathematics, and its space and time units, points and numbers, making a summary of its diachronic analysis through its 3 ages, reserving for 5 different sub-posts the study of each of those sub-disciplines.

Of those disciplines the most important is geometry, because mathematics is a language of the mind, and the mind, §@ stiffens motion into form; thus the mind is spatial more than temporal, a fact that accounts for the obvious property of ‘huminds’ (Ab. human minds): we are focused in space, in evident eye-views, and in memorial past, ‘still forms’; we are ‘killing minds’ who stop motion into form, source of many confusions in our understanding of reality, of our chronic incapacity to understand and forecast the future (in social sciences) as we have been doing with a different ‘FRAME OF MIND’ for decades to the ignoramus of huminds who cannot see as Cassandras do.

Next comes algebra, specially when we include within it, analysis as it deals with time-space Dimensional symmetries in scales (analysis, polynomials) etc, and the constant reflections of each dimension in all the others, as a kaleidoscope which multiplies the inflationary views, equation and mirrors of reality within any linguistic mind.  Analysis in that sense is part of algebra, its reflections through the 4th-5th inverse dimensions – which improves the ‘rough mirror’ of polynomials, more useful for social scales in continuous single planes and its ternary and decametric scales (reason why polynomials and derivatives can be approached through Newton and Taylor’s formulae), but given its development in mathematical physics, we will respect its ‘branching’.

Finally, both can be represented from the mind view with the ternary canonical @-frames of reference, which correspond to each of the 3 s, st, t elements of any space-time system.

All of them will be renewed and put in correspondence with ƥs=t. And as such 2 fundamental upgradings of the two dominant branches, geometry, will be the the completion of the 5 Postulates of non-Euclidean geometry and algebra+analysis, with the refurbishing of all those symmetries with the Generator equation, substitute of group theory.

While in the other minor 2 sub-disciplines, number theory, absorbed as the first age of algebra, and analytic geometry, which can be considered also part of its s=t symmetric views will receive a less extensive treatment, often within those 3 fundamental sub-posts, of which as today, october 2017 only the ‘geometrical one’ deserves a detailed reading – hopefully by christmas the other ones will be minimally consistent.

For the sake of simplicity, quality, brevity and to diminish my work-load on such an extensive blog that unifies all stiences we liberally use when we require explanations from classic mathematics (as we will do when we need to use classic work in physics with Landau’s 11 volume encyclopaedia of mathematical physics and Feynman’s simplified lectures) pages extracted from Aleksandrov’s book on the principles of mathematics – an easy-to-understand 3 volumes of the ‘dialectic school of the extinct soviet union, which had the proper philosophical approach to mathematics as an experimental science, understood deeply its philosophical principles, and avoids the pedantic, 3rd informative baroque age of the axiomatic method.

So a final comment on that: when a language becomes a dogma or religion of truth, whose truths detached from reality are no longer intuitive – to make them so again is our goal in this blog – it becomes a metalanguage. It is the 3rd ‘excessively informative warped and onanist age of any Tœ (ab. timespace organism). Mathematics and physics long ago reached that level which selfie childish wikipedians show with so much pleasure; destroying the connection of the language with reality and avoiding that anyone except the ‘priesthood of the science can research it’. It is then no longer a task of reasoning but of memorial methods, mantras algorithms and protocols.

And yet each of the languages and dimensional symmetries the mind-space creates does carry a part of truth within its ‘creation of an inner world’. A fact which shows the beauty of the symmetry between §@-minds and ∆time motions: the kaleidoscopic Universe puts in symmetric relationship all its ‘dimensions’ with its own methods and perspectives, creating parallel worlds. But the efficiency of a language for the survival of the entity that speaks it depends on the capacity of the mirror to interact with reality and help the species that talks it to enlighten that reality.

Mathematics does so to a great extend by allowing the manipulation and forecasting of the future timespace cycles of simple forms, but it does not in its present format allows to reflect many of the vital organic properties of reality, which will only do once we have upgraded to non-e to the 5 vital postulates of fractal points, waves of communications, networks (1, 2, 3 postulate that substitute the definitions of points with no breath lines with no breath and continuous planes with no depth) and to non-aristotelian logic the postulates of congruence and parallelism (defining the 3 forms of relationship between entities of space-time, as perpendicular, darwinian ‘tearing’, complementary ‘adjacency’, and social ‘parallelism).

By giving back organic properties to geometry, we thus shall achieve the long forgotten dream of Pythagoras, Spinoza and lobachevski: to mirror life and organisms in its mathematical spatial mind images. 

As this is an ever work in progress which breaks in quality on many posts constructed with blocks of old files written for myself, often with different jargons, the reader is advised to explore first the only post with a ‘present’ well-behaved format as of Fall 2017, precisely the one on geometry of space and its infinite minds, which Lobachevski, the last of the 3 colossus of his discipline NOT Cantor and Hilbert, with its false paradises, opened for all of us humble enough to ‘see’.

Since it was his discovery of non-E fifth postulate, the fact that a fractal point has volume and can be crossed by infinite parallels even if our immediate mind does not see reality in those terms, the first  realisation that ‘mathematics-geometry’ is a mental-logic endeavour, where function and i-logic thought overcomes ‘spatial representation’, unleashing the final evolution of S=t symmetries (topology in which space is given motion) and the XX c. explosion of abstract mental spaces to represent all realities, including those of time, in ‘abstract still mental spaces’.

It is then obvious that mathematics is only second to T.œ as a linguistic mirror of the Universe, and as such the most efficient language perceive by man. As languages are the essence of monads-minds that order the biological, organic Universe, it follows that mathematics has survived for eons, extending their local order from infinite fractal points of view, which used it to better their territorial organisation of the Universe; and so infinite species seem to use mathematical systems to navigate their worldcycles of existence, and organise their territories, notably ‘atom-galaxies’ (∆±3):

So WHAT we shall do in this and sub-posts, is to continue that game, now between ‘two languages’ MIRRORS OF THE UNIVERSE, Mathematics and T.Œ, the description of the 5D of space-time and its organisms, to improve mathematics by improving their mirror of the 5 Dimensions giving birth to 5 improved mathematical sub-disciplines:

  1.  S: ¬E Geometry: We shall complete the evolution of geometry by defining the 5 Postulates of Non-euclidean geometry departing from the concept of a fractal point.
  2. T: If the geometry of the fractal Universe is non-euclidean made of fractal points with volume, its logic is non-aristotelian, made of sequential social numbers with strange connective properties better expressed with the non-aristotelian logic needed to understand the different forms of temporal, sequential correlationships between social groups of similar ‘numbers’. So we shall develop a non-aristotelian logic of numbers, latter expanded to variables. We shall improve Number theory by putting them in relationship with ST-laws, by understanding sequential time numbers, scalar social numbers and real numbers and mathematical constants as ST-ratios and functions of ∆st actions.
  3. S=T: ¬Algebra which studies a(nti)symmetries between space and time dimensions. It is then necessary to derive from the a(nti)symmetries of the fractal generator a more realist understanding of S<=>T mathematical functions, its operandi, and structures that act as ‘blocks of time’ – iterative laws that relate space and time elements in a multiplicity of beings. As such ‘Group theory’, with its structure that resembles so close the fractal generator will be illuminated with this new tool that improves our understanding of  ‘algebras’ of all type  and also its application to mathematical physics.
  4. ∆: Analysis studies the a(nti)symmetries between planes and other ∫∂ operations derived of scales of the fifth dimension. We shall make analysis more realist by defining limits to infinities in a discontinuous Universe, made of finitesimal 1/n parts; by considering the discontinuities of the fifth dimension and the duality of continuous calculus vs. discontinuous fractal scaling, as both are needed to understand the continuous social regions of the scalar Universe, or decametric §cales and the discontinuous gaps between ‘ages’ in time (standing points, variational calculus) and ‘planes’ in space.
  5. @: P.O.vs. and Philosophy of mathematics as a language. We shall accept that even though mathematics is an excellent mirror, it still biases reality to pack it into a mind, so we shall treat mathematics as a language, which is by definition informative, and inflationary in ‘forms’, with excesses and fictions, among which the question of false infinities, the distortions of frames of references and the parallel ‘metaphoric’ expressions of the same ST-LAWS are paramount. Finally we shall consider a better foundation of mathematics, NOT the axiomatic method, set and category theory, which ‘starts’ the building from the roof down, but the minimal entities, points and numbers, to rediscover the classic foundations of mathematics as a experimental language.

It is obvious then that algebra, aptly called from Arabic “al-jabr” meaning “reunion of broken parts”, and analysis by studying S<=>T and ∆§ suffice somehow to describe the 5 Dimensions of present, past and future, and indeed, they together cover all of it intensely… but they require first a good understanding of social numbers, and the @nalytic planes which work as the ∆-1 ‘cells’ and ∆+1 world in which the organic systems of mathematics work out its ‘actions of existence’.

The only other ‘great subject’ which is on parallel in importance to that of algebra & analysis would be geometry in motion, topology, which thanks to the 5 Non-Æ postulates will be explained as a far more ‘intuitive’ and profound perceptive mirror of reality, once points acquire volume (1st Non-Æ postulate), from flat prime numbers to platonic solids, reproduce inner parts, communicate through infinite parallels (5th non-Æ Postulate), which become waves and networks (2nd Non-Æ) to construct topological organic planes (3rd Non-Æ)… based in the relative similarity of its parts (4th).

So we  find even at the elementary level of those texts a kaleidoscopic wealth of new relationships between the 5 parts of mathematics, and a very experimental connection with reality as the closest language to T.œ, eliminating the ‘axiomatic method’ as the ‘alibi’ of mathematical truth – which is to say the least shaky since Godel. And ground mathematics in the highest of all possible referential games, that of space-time beings, from where it extracts its simplified geometric and logic postulates (we reduce axioms, notions and postulates of Euclidean geometry to those 5 connected to the 5 dimensions).

Finally @, the mind is, connected to frames of reference in its self-centred p.o.v. is written, intimately related along philosophy of maths to theory of languages and again broken internally into ‘3 simplex rashomon truths or dimensions of the generator, as there are 3 ‘choices’ of the frame of mind: S-cylindrical frames, ST, hyperbolic cartesian frames and T-polar frames; plus two complex 4-5D planes, the Hilbert space of smaller parts and the Complex plane, which is essential to crack properly the fifth dimension. 

Thus we move from Geometry to ¬E, from Algebra to ¬A, we explain Analysis and ands @-linguistic analysis of maths. This new maths enhanced, vitalised, founded in reality is what we shall call ¬Æ=i-logic mathematics, for ¬algebra ¬e geometry, analysis and @, being i the next vowel to æ…

But it is the inverse truth? Can mathematics describe all the properties of the 5 dimensions of time-space? Obviously not. It cannot express the sorrow of the mon@d when it realises it is a finitesimal 1/n part of a whole, a mere derivative of a function of exi=st!ence and the fourth dimension of entropy will kill it. I can express it as i have just done the action of death in an i-logic format, but the emotion, the pan psychic properties of the flow of time, the different ‘non-mathematical properties’ associated also to time, psychological time cannot be expressed. The logic of the 3 arrows of time is also better expressed with words as a bio-logical, organic darwinian struggle for existence. The abstract fractal becomes far more telling when we accept that ‘the languages of God are infinite’.

Beauty for example in the languages of art can be expressed as S=T, the fundamental ‘motion-step’ of reality Art then has a topological space-time balance which is NOT purely mathematical but absorbed through the human senses requiring the similarity sensation that make us love that specific balance. Music again also plays through the bas-S ≈ T-reble harmonies in one of the purest expression of S-t motions through the melody but the ultimate reference is NOT mathematical (the chords of Pythagoras) but in terms of S=T balance; so while languages can mirror other languages, and we shall obviously make use of all those languages; it is the space-time reality the ultimate reference of all them.

IT IS THEN WHEN DEPARTING FROM REALITY NOT FROM A CREATIONIST LANGUAGE, with the humble realisation that we, as human beings, have a limited linguistic synoptic information of the whole (as only the Universe stores all its information about itself), when we can praise:

  1. the power of ‘verbal logic TEMPORAL thought and its ternary Universal grammar≈syntax which always refer in a sentence that describes an event the 3 ‘arrows of time’: past-entropy (object), present-energy-action (verb), future-information (subject)
  2. the power of mathematical spatial geometry/topology and social numbers to describe FRACTAL SPACE and its unit, non-euclidean fractal points which grow as we come closer and can therefore hold infinite parallels of flows of energy and information, and to describe the growth of equal beings (numbers) into larger wholes.

So paradoxically the realist on the path of Leibniz or Einstein WILL GET a much more focused and evolved view of mathematics – the best language of space and verbal logic – the best language of time, AS EXPERIMENTAL mirrors of reality because it can CONSTANTLY refer mathematical equations to reality and as ALL LANGUAGES ARE INFLATIONARY, reduce mathematics to reality not the other way around (the same with the fictional exuberance of words and metaphors, the equivalent of zillions of different mathematical equations to describe the same thing).

 

BEST MIRROR OF TIME§PAŒRGANISMS BUT NOT REALITY ITSELF

The greatest future advance of mathematics under the improvement of fractal space and cyclical time is dual. On one side to show that mathematics is a mirror NOT the fundamental substance of the Universe, and as such IT MUST BE an experimental science. Then once is established we can improve greatly mathematics and show the path for future researchers in a field I find fascinating – to explain experimentally by relating maths to space-time properties the main equations and theorems of mathematics.

The difference of view between mathematical or space-time creationism is subtle but important:

If mathematics is NOT the substance of reality (obviously but a belief of most ‘platonic’ scientists), then it must:

  • Be considered to share the properties of all other languages, and as such be subject to the ‘same ages of time, and ternary structure in space’ that all ‘languages-forms of the Universe’, as a mirror-language of its space-time properties, which we shall easily show to be the case -ie. algebra describes timespace symmetries, analysis 5D scales, geometry space forms; numbers social points in sequential time, etc. Of those properties the most important exclusive of languages detached from motion as still forms is its inflationary nature, since as the purest Tƒ forms languages can ‘fly’ into multiple parallel forms, not constrained as ‘energy systems’ by its need to ‘mold’ entropy into form. Thus mathematics is infinite in its variations as it enters the realm of ‘fictional images’ with no correspondence in the stubbornly simple world constrained by the resistance to form of entropy and motion.
  • Thus we must follow the dictum of Einstein and Godel and make it experimental and cut-down its complexity giving it ‘experimental meaning’ by referring its constants and operandi, and equations to space-time properties. This is the task we shall bring in this post. It might seem of no interest for specialist but fundamental to illuminate all other languages. I.e. euler’s number, e will show to be the number of the fourth dimension of entropy-decay-dissolution and death. This insight will let us easily ‘explain’ many meanings in events where e is the dominant constant; holographic bidimensional space-time units ‘are’ the beginning of reality. This insight will explain why most of geometry can be proved in 2D or why there is NOT as per Fermat incomplete theorem, x³+y³=z³. So as usual with ∆•st a simplification and resolution of millenary problems will come easy.
  • In that regard, in the upper lines we classify T.œ as the science of all stiences, with an ∆±i index, where i might be any number of scales, if as it is likely those are either finite or recurrent; but paradoxically since T.œ is ‘all’ we give mathematics an ∆±∞ number of scales, since math is MORE than all, it includes inflationary view on the Universe and fictions, and hence ‘aberrations’ such as the infinite concepts of  Cantor. This infinity does not however imprint ‘reality’ and form its entropy and motion into energy; hence it is fictional.
  • But the most important conclusion of maths as an experimental science is purely philosophical, as it clears the path to a proper understanding of reality… Indeed, in the age of the digital machine, ‘enzymen’, men who catalyze the evolution of those machines despise all other languages-mirrors of the Universe and pretend the only way to give meaning to reality is using maths; and this is the biggest straight-jacket for a true advance on meaning about reality. Most modern scientists will always ignore this blog precisely because for them science is to put data into mathematics, crunched mostly by computers and we are upgrading tremendously the verbal, conceptual meanings of science – but of course wor(l)ds no longer matter as a language of truth. So in the same manner nobody reads Aristotle today, likely the highest verbal mind of humanity ever, nobody thinks ‘to write words’ can give more light to science, but it does. Such belief is just the culture of today, technologic and increasingly non-human, as our overlords machines talk maths. But the surrogate ego-nature of humans who do not see machines as ‘real’ but attachments of themselves make the mathematician or physicists to believe he talks the language of God. T

 

It is then not surprising on the view of Dirac and Galileo that idealist mathematicians have won the favor, since Hilbert astounding ego-trip where he affirmed mathematics was an invention of his mind (‘I imagine lines, points and planes’ – ‘Foundations of geometry’).

So they have rejected the ‘experimental, a posteriori nature’ of the mathematical language, a view they share with all those physicists who think mathematics is the a priori nature of reality (Copenhagen interpretation, etc).

Then there is the next ‘stage’ of the ego-trip of linguistic creationists called ‘Literalism, which means that not only the language ‘creates reality’ but as it IS reality itself, NOT a mirror, it does NOT admit parables, approximations, and this is a huge handicap to understand maths, even more so than in words, because words are the natural temporal mirror of the human mind and so its realism is far more immediate.

The degree of abstraction of maths in the axiomatic method trying to prove itself without reference to the world makes it specially obscure; to which we add the ‘uncertainty of view’ over far away ∆-n scales, in which ‘billions’ of entities transfer limited information and move so fast that we confuse ‘a time event’ with a space event from our so slow ‘view’ (as lines of a car appear in space being time events at slow motion). So mathematicians to ‘fully’ grasp in a titanic effort ALL the motions of those billions of particles, have created ‘fictitious’ spaces of ∞ dimensions (Hilbert spaces), the last evolution of differential/integral calculus of infinite solutions, which does NOT mean the quantum world is different but the approach of huminds IS different as we ‘work’ with ‘huge bulk spatial populations and temporal masses of frequencies’. 

Then the literalist error comes and says, this maths are weird, they are ‘probabilities’ in time (not populations in space as we see them in an electron picture), and this is the ‘substance’ of reality. It is not. The particle is the substance and it is a cyclical time state; the wave, a space-time state is the subtance. The ‘bulk analysis’ of mathematical masses confusing ‘space population’ with ‘time probabilities’ IS the mirror, very impressive as a mirror, but very foolish when the mirror is taken as real.
What this means basically is that the mathematician as the physicist today has accepted a magic look on mathematics, as long as it works to represent-mirror reality fairly way, it doesn’t matter what they mean.

Only the greatest minds such as Newman or Einstein or Heaviside were aware of that ignorance which now ∆•st could solve, if there were more than a ‘single point-mind-singularity-mirror’ for it – i feel deeply exhausted.

∆NALYSIS

5D. Finitesimals – the present, static spatial view of ∆-1 beings.

While the topological ternary structures and growth of social networks of fractal points can define easily the emergence of a super organism, in strict mathematical terms, the second sub discipline of mathematics, analysis, deals directly with the relationships between finitesimal parts and social, organic wholes. So the specific mathematical discipline that studies the scalar, fractal 5th dimension of space-time Beings in quantitative terms is analysis. And it is specially useful for the study of systems in which the internal organisation is minimal – that is systems of herds displaced in space and of growth and events happening in time.

What is then the main difference between analysis and ∆nalysis. Simple: in the fractal universe, we take sides with the dispute on the meaning of infinitesimals, which as Leibniz thought are ‘finitesimals’, minimal constant parts of a whole, which do NOT diminish ad infinitum in size, but will always have a minimal number – in planes of ∆, normally on the 10ˆ10 scale.

So we solve this logical paradox, never fully resolved, stating that the parts of a whole are finitesimals, ‘undistinguishable’ from the perspective of the ∆+1 consciousness – in fact from an ∆+1, the information and perspective of its parts blurs till it seems a continuous. And so all scales below ∆, become increasingly ‘indistinguishable, continuous’ and finally its information erases.

Moreover its cycles become so fast that they close into themselves, converting the whole motion of the being and its world cycle into a relative static present; and in this manner discontinous motion, becomes continuous, static present form of space. A fact which resolves the paradox of Galileo (see above, Saturn’s rings). THE COMPLEX plane will define one plane as specially interesting from the ∆ view of reality; specially when we establish it in square coordinates:

Different views of the complex plane:

The newest addition is the square plane with  ± conjugate planes on a bipolar real axis, closer to the organic ternary topology of t.œs in reality:

§ð: A riemann sphere² in the i²= ±1 axis, sets a dual ð<$t-ate of entropy.

ST: As the squared complex plane becomes a topological plane with the real axis, rˆ2 representing the reproductive conjugate ±bilateral plane of dimotion of reproduction.

It does represent in its R² Axis the present bilateral wave state and in the T<S SQUARED imaginary ±asis the particle, polar state and outer world. Ie. Schrodinger  & Bohm polar and wave equations of quantum physics.

The 3 elements of all systems, lineal/flat limbs/potentials; spherical, tall heads/particles and its hard membranes of dark matter, trunks and skins accomplish the 3 functions of motion, energetic reproduction and informative perception in all systems, varying to adapt the system to its larger world. They can be represented in the complex plane with the i2 plane as the negative real particle/head state, with a polar coordinates which can be compared to a Riemann sphere, who will represent its body with a real bilateral coordinates and a +i2 for its entropic world.

It is easy to see in the C2 plane, how from a +real +1 conjugate, from the lower entropic plane, through the bilateral r2 plane a flow of space-time enters the final -1 imaginary mental plane of the being, completing a dimotion through the 3 parts of the superorganism, or in formal terms from the entropic to the wave to the particle states.

 

Let us put then just one example of what we mean. Consider the false problem of imaginary numbers. What they really mean? This was a hot question that was never fully answered except by Gauss partially, calling them inverse numbers. What can we say about it from the experimental truths of ƥst?

The answer is immediate when we realise that the Galilean Paradox establishes the holographic principle: the bidimensionality of all real forms of nature, which are in its simplest forms, dual dimensions, and so the unit of reality IS not a single dimensional system/point but a bidimensional ST system. Ergo the proper way to use imaginary numbers is ‘squaring’ them. 

Then we obtain a ‘realist’ graph, with an X² coordinate system in the real line, which can be projected further with a negative -y and a positive +y axis, often ‘inverse’ directions or symmetries of timespace.

And suddenly we can start to understand many realist whys of complex numbers and complex spaces.

In that regard, while we have stressed the mirror function of mathematics, NOT a literalist or creationist method, as our mind is linguistic, obviously languages do matter. And mathematics as the most synoptic efficient language is the right choice for physicist, but its use must be ground in the higher truths of space-time properties – the reality- and its logic laws of epistemological truth – the method to refer the mirror to that reality, and connect them through experimental and logic veracity. Only then we can fully understand mathematical physics.

The mathematical mirror in that sense is excellent because it embeds in its synoptic language the fundamental properties of fractal space (in a larger measure than those of cyclical time, for whose symmetries uses distorted mirrors of the ‘generator’ and a simpler Aristotelian logic of a single arrow of time). And both will become simpler, filled with more meanings and more powerful when we complete its ‘r=evolution’.

The ultimate mathematical principles.

Consider another simplex example: the relationship between Universal constants and arrows and dimensions of time-space.

The fundamental functions and constants correspond to those arrows, but there is no magic about it, but synoptical power and EFFICIENCY:

  • So pi is the constant of informative perception and trans-form-ation of motion into form: 3 |> O+ 4% apertures to the world; and as the inverse arrow of form into entropy is just the contrary function, also the inverse ‘unwinding of form into motion’. But then is most often a multiple of π, (as in k and G equations) or a ‘radian’ of π (as in h), because the dense curvature merely ‘peels off’ in parallel a ‘thin membrane’ of its curvature or perceives a ‘radius angle’ of the external universe.
  • Phi is the constant of reproduction also because the efficiency of its spatial distribution that packs the maximal number of ‘reproductive events’ from an initial generator in minimal space.

And so two simple, related constants suffice for most simpler, geometrically perfect actions of the 3 arrows of time: motion to form, form to motion and reproduction.

What about the 4th and 5th dimensions? Again the answer is self-evident (if you understand the organic Universe):

As those dimensions are concerned with fractal discontinuous or differential continuous functions from wholes to infinitesimals, it must maximise the growth, and so polynomials and logarithms are used. Specifically:

  • e is the number of the fourth dimension of decay and death, which is the fastest possible process of dissolution of a single whole into infinitesimals, as those ‘cells/atoms/citizens’ ARE already reproduced and must merely be liberated from the single whole-membrane. So we find it in all decay process because of a simple property: e IS the fastest growing exponential function of any two numbers, in the Universe (and many related properties). Interesting enough to notice that it was found NOT as decay but as ‘interest=usury money’, what says a lot of the astounding ‘grab-theft’ of the financial profession, which found the maximal parasitic growth on account of doing NOTHING; just lend useless, fetish go(l)d.
  • While inversely the Log¹º function is the scaling of social evolution because the ‘tetrarkys’ with 3 x 3 elements as networks of entropy, energy and information with the central whole-singularity mind emerging in the new scale as ‘1’, is the most perfect form to deal as a time§paœrganism with the survival exigencies of any ecosystem of ‘fractal points’.

So we shall study mathematics as the most efficient, synoptic language of the properties of timespace beings, after the very essence of the game, the formal generator, its symmetries and ∆•st logic, for which obviously the pretentious guru-magic of mathematical physicsts and the like, is just a barren “latin’; and simplify, explain and evolve its Non-a logic and ‘fractal units’ (non-e points) from ‘space-time reality’ into mathematical mirroring.

It is then far more important given the blindness on meaning of mathematical physics to enlighten even the simplest concepts as ‘dimensions’ and ‘vectors: space-time bidimensional entities’, ‘numbers=social groups’ and ‘fractal points with growing breath’, etc.

Of course this is an INSULT for our geniuses which as Hilbert did with Einstein, despising first relativity for its simple maths – he was the God-talking man who ‘imagined points, lines and planes’ and set a ‘paradise’ for Cantor’s ‘building up’ of mathematics from the roof down, with its sets and axiomatic method, which denied experimental mathematics and its real units, simultaneous fractal points of space (Leibniz’s monads: each point is a world in itself) and  sequential social numbers of the 4th and 5th real scalar dimensions. So He and Cantor imagined first the units of its axiomatic self-contained, ‘detached’ world of formal mathematics from the top down.

But the TOP of maths is NOT the set or category, constructions of the inflationary human mind, but the Universe itself WHICH IT MIRRORS, so the relationship IS from math’s units, fractal points and social numbers to Universe, the reality it mirrors, through the classic scales of topological networks of points and algebraic causal relationships between social numbers and its scales of ±, x ÷, x²,³…, ∫∂ (continuous operations in the 4th, 5th dimension) and log, ln (exponential death and decametric social growth), which are all the operandi we need to construct reality.

Needless to say Hilbert and Cantor were all about ego. They wanted to be God. So Cantor ended up in a mad house literally, and Hilbert when he realized that ‘simple Einstein’ was the ‘thing of the future’ stole his theory which Humble Einstein had sent him to review, improved a bit the maths and published it with his name! Of this anecdote  a furious Einstein jetting to see the Man only conceded the naming of the ‘Einstein-Hilbert action’ (:

And yet today we still live in that ‘Cantor’s inferno’ not paradise of imagined lines – in Dante’s divine comedy  the 9th circle of those whose capital sin of arrogance fogs their reason, for wanting to be more than God. The harder they fall-en angels fall.

All this said mathematics is one of the best languages to mirror efficiently the Universe, specially in spatial dimensions, but since all languages are inflationary it is a key element in mathematical analysis of ∆st systems to break down what is ‘experimental truth’ and what is fiction. Consider the case of ‘dimensional analysis’. As it happens there are only 3 bidimensional topologies which correspond to the 3 functions=forms of all systems. And there are only manifolds of rank 3 or lower which are ‘smooth’, differentiable, meaning systems where ‘time’ moves smooth through ‘present derivatives’.

So in a single plane of present only ternary space and ternary time dimensions are possible. As the mathematical mirror gets distorted, outside those 3s = 3t, the mirror guide us – but the experience must confirm them. This was the essence of Lobachevksi’s thought when he found non-euclidean points now forgotten: that maths are inflationary in its diverse theories so we cannot just do as mechanon physicists do, to write an equation and expects to be there, but a more subtle approach of mirrors observing reality and ordering it in local regions is required.

Soon we will see the interaction languages-reality where reality dominates but the mirror can also deform reality to make it seem like the mirror. Space-time thus comes first, and its dimensions are the origin of reality; as Mirror-languages are both more concise and specific, so they cannot show all its properties and they all have a distortion to reduce information I.e. euclidean points have no ‘breath-information’ inside and so on.

 

As the ultimate mathematical properties are indeed a proof of the organic, social, fractal nature of the physical Universe. So before we introduce the tenants of mathematical physics, we shall see the larger view of…

MATHEMATICS AS A MIRROR LANGUAGE OF THE 5 DIMENSIONS OF ∆@S≈T

Mathematics is the most efficient language as a mirror of the Universe, NOT because it is the only language of God, since verbal, visual, genetic, magnetic, financial, olfactory, musical, pictorial… etc. languages can also code or value the forms of Nature, but because when we range languages according to the laws of efficiency, which requires minimal space and maximal information for a language that represents in 5d metric the ‘smallest’ singularity-like object of reality, mathematics ONLY ranges second to the non-Æ logic formalism in synoptic power (space size), and likely above in informative density (as GST is a synthetic language and mathematics an analytic one).

It is then important to understand mathematics, as an experimental mirror of the Universe, specially when dealing with non human systems, as the ‘specificity’ o f human languages, which can better express human systems, as they have been biologically designed to express ‘human values and actions’ is no longer require and then only the objective elements aforementioned matter.

However, on human systems, the higher detail of maths is secondary to the specificity of the language; so it is an error to try to express human thought, history and social sciences with mathematical languages – a mistake common to the fundamentalist believers on egotist trips of mathematical uniqueness.

As we humans are really, ego permitted, a mere light disordered vibrational parasite of the most perfect geometric quantum-gravitational atom-galaxy dualities and its middle magnetic scales, our form is – how to put it – a bit messy, compared to the spatial perfect topologies of spherical beings and lineal waves, mathematics a stronger spatial than temporal language, better for huge amounts of ‘social numbers’ that individual erratic huminds is the perfect language of scales where geometry matters and the symmetry between form and function is almost absolute.

So spatial forms and spatial scales are its forte. Let us then see a brief account on how mathematics deals with scales, through continuous differential equations (social scales proper) and through fractal discontinuous functions in ‘transitions’ between scales and temporal states, when not differentiable form is allowed.

The fractal Universe and its mathematical analysis MIRROR the laws of ∆-planes.

2 are the fundamental subjects of ∆st: the fractal structure of space-time and its ternary symmetries.

In classic mathematics the second theme is treated with ‘group symmetries’. We shall treat with the more realist ‘Generator equation and its ternary symmetries. The scalar Universe is a theme of 2 disciplines, the old calculus/analysis and the modern fractal geometry of non-differentiable functions, from where we have taken our ∆ intuitive symbol.

A BRIEF LIST OF CORRESPONDENCES between mathematical disciplines and ƥst parts.

Let us then once that we have shown in more depth the mathematical=experimental evidence of fractal space, start by a basic understanding on the sub disciplines of mathematics as a language which understood in GST terms, becomes the most experimental detailed language on the properties of fractal space and cyclical time:

The formal stience of 5D is analysis. Derivatives are mostly concerned with synthetic information on upper scales and time; integrals with the sum of its parts in space. The interaction and symmetries and travels through 5D are thus better understood in terms of analysis, which has become the dominant formal stience of mathematical physics concerned with the study of 5D motions, without mathematicians and physicists understand why. On the other hand, topology is the formal stience of the three arrows of time-space, and as such it reduces all the forms of the Universe to its only three topologies – another ‘magic’ fact of experimental mathematics, never understood in science.

AS such the true revolution of mathematical stience goes through the conversion of mathematics into an experimental stience, relating the fundamental theorems of mathematics, as the stience of logic space, to the different laws of GST both based in the fractal properties of space and the cyclical nature of time. We shall thus evolve mathematics and physics to unveil in the human languages of time and space, the underlying isomorphisms of Nature. 

So once we improve Mathematical logic with ® math will become the most experimental of all languages, as it directly describes space (topology, mother of mathematics) and time logic with algebra.

In that sense, math is a mirror of God NOT its substance, or origin of its laws determined by the laws of space and time which structure the Universe. But as maths carry so much synoptic information, it might seem as it is the case among platonic scientists to be as dense as reality itself. Hence the epistemological error of mathematical physicists which often confuse reality and idealist maths, unaware of the proper way in which languages create reality.

The five dimensions of ðime§paœ in its mathematical reflection.

To put some order into the mathematical mirror of ∆•s=t 5D Universe, the larger whole whose a priori existence determines the experimental nature of mathematical mirrors as as usual we need ad-minimum a triple ±∆i perspective:

ðime perspective  implies to correct its logic into non-aristotelian three time arrows logic…

§pace implies to improve its spatial geometry transforming it into a vital topology of fractal points

∆§calar space means to refer the scales of the fourth and fifth dimensions, ∆±1 to its continuous differential geometry between planes (decametric §ocieties) and its fractal discontinuous ‘scaling geometry’, when smooth transitions are not possible, (changes of phase, entropic deaths)

S≈t: to find all the symmetries between space and time and reflect it in a more meaningful way that group theory does

@•mind: Here undoubtedly in the most polemic element, we must deny its theological nature, and expand its experimental nature, decoding better the meaning of its theorems NO longer relying on the axiomatic method, which pretends to prove the truth of a language in mere internal syntactic proofs  – impossible as by definition all languages are mirror-minds of the Universe and are proved in its quality and non-fiction nature obviously by reference to the semantics it describes.

Those are the 5D adaptive, evolutionary tasks we shall consider in this blog.

But, dont hold me responsible for the lagoons and uneven quality of what we might achieve. To put it in verse:

The task is herculean in spatial size;

the ðime is scarce in my random life;

the help is nil among §ociety-peers;

the •mind is unfocused; old in tears,

so we shall do no much to match

∆•ST and Maths but…

enough to change the name

of numbers, points and planes

from A and E to non Æ…

Indeed, we shall use the concept of non-Ae, to the evolution of Aristotelian logic from to 3 ±i arrows of timespace, and the axioms and postulates of euclidean geometry, from points with no breath to fractal points, lines to waves, planes to networks and congruence to similarity.

It is a whole refoundation and upgrading as in all stiences, of which I can only make a seeding for future humans or robots to follow.

The rashomon effect: inflationary 5 povs on a single event

In the epistemological arena, it is necessary to expand  maths into experimental analysis, and also consider at least the multiple perspectives of the kaleidoscopic mirror, so a certain objective experimental law of space-time becomes a mathematical image, whose proof will need a logic process  of mental reasoning but now from the multiple logic points of view of the different perspectives of ∆•§≈t.

Which is the key to reduce the inflationary level of the language with all its mirror-angles to the single truth of it.

Such analysis will then complete all the possible perspectives of an event or law and define its range of application in a complementary non-exclusive way.

Consider a simple example; the ‘Pythagoras theorem of probability’ – Bayes Theorem, which states that P(A|B) = P(B| A) x P(A)/P(B).

§: It is today simply proved departing from conditional probability as an easy derivate of P (A|B) = P (A∩B)/P (B)… (∆§patial view)

T: And justified also from the analysis on how a fractal tree of events ‘branches’ into outcomes of different frequency  (∆ðime view).

Γœ: And it is experimentally proved ad nauseam in all systems of reality…

@ But its origin was actually on a mystical, mental analysis by the Presbiterian priest Mr. Bayes  – the so called epistemological interpretation, according to which probability measures a “degree of belief.”

Bayes’ theorem then links the degree of belief in a proposition before and after accounting for evidence. This is the ‘•element’ today discharged, which we shall show in our analysis of the justification of probability laws to be by far the most interesting interpretation with key consequences to understand the ways in which the mind-Universe mirror game makes reality emerges from parts into wholes. As beings are first mental blueprints, seeds of information, which slowly acquire the density required to enter the threshold of existence.

The experimental evidence carried further into mathematical physics

An inverse example  will be departing from experimental evidence to eliminate inflationary mathematics and ego-mind paradoxes in the explanation of reality. For example the debunking on mathematical physics of the copenhagen interpretation, which Bohm did properly in differential equations and Nottale in fractal ones… but requires further understanding of the concepts of quantum physics not as a mental game of observers, but as a distorted human view on the limiting scale of our mind perception, given the properties of 5D metric.

Ie. as we go down in scales we loose information (uncertainty principles), we are coarse in our interference (observer’s influence) and beings accelerate in time as they diminish in space, so we make all kind of errors confusing time cycles as spatial forms, since our slow clocks see the being’s sequences in time all together in a simple timespace quanta as a spatial form.

The ‘mind view’ ANALYSIS is the key to straighten up the discipline as we must eliminate, specially two recurrent errors:

-To see time events which are ternary as spatial different forms: i.e., 3 quarks cannot be broken, why? Answer: because they are likely not three quarks in space udu, but three ages of a time transformation: u>d>u.

-To ignore each new scale is made of wholes and parts and when we ad new scales we must ad more parts, so instead of functions we use functionals and operators (functions of functions), NOT because quantum systems are weird, mathematical beings made of nebulous operators, but because we are integrating in our perception, multiple scales – same for Hilbert spaces – there is not ∞ dimensions but we penetrate for each system we measure into its parts, which are its inner dimensions. But without a proper definition of dimensions all gets messy conceptually as it is now the case.

So the GST isomorphic methods relating all to the 4 ∆• parameters will become the key to ‘complete’ and upgrade maths and its main sub discipline, physics (: as we have done with all other disciplines.

THE FOUNDATION OF MATHEMATICS AS AN EXPERIMENTAL SCIENCE vs. THE EGOTIST METHOD

“The less intelligent a person is, the less mysteries he founds in the Universe’ Schopenhauer.

We shall as always reiterate to the anger of any scholar reader that the problem of maths is not in GST nor in Maths but in Man; i.e. the human egotist method of knowledge is the main error in our understanding of the relationship between mathematical minds in the universe and the systems they code – since we do not recognise that we are just one more mathematical mind, and so maths neither come from the human imagination, nor it is an entity isolated from reality (Axiomatic method) neither a language different from all others.

Once those hurdles are passed, the immediate connexion between the primary substances, time and space, its ¬Æ STRUCTURE and its fundamental expressions in science, GST bio-logical models of §upœrganisms, (the synthetic, temporal-biased view) and maths (the analytic, spatial-biased view) appear as the most elegant, dense expression of its properties. And obviously both are related; so we shall find all kind of symmetries between space&time, GST and maths.

A mathematical Universe must be perceptive and social.

In the graph, a fundamental truth of the Universe is the existence of singularities that order physical, biological an social systems, except when they are in a free, chaotic state of maximal entropy (gaseous state or dark entropy between galaxies), which cannot produce order, as they lack any ‘frame of reference’.

Mental singularities, Monads, or Maxwellian Demons are the ‘missing variable’ needed to explain the whys of reality. In mathematics we call them P.o.vs. Frames of reference, self-centred in a point, which we use as physical systems do, functions of space-time. In that sense physical, atomic systems do indeed calculate as quantum-bit computers might do. Are they ‘conscious’? Likely, as consciousness is just a self-reflection between two mirrors. In the human case, the I=eye that sees space and the verbal cogito ergo sum temporal mind – the conscious languages. But it is not the verbal consciousness of man, but a mathematical consciousness which among humans only a very intense ‘mathematical physicists’, which can ‘see’ as musicians see ‘scales’ that provoke emotions, equations as dynamic visual forms. What would then be this kind of consciousness? Likely a sense of proportion, symmetry, balance and beauty.

It does NOT matter in any case the ultimate inner sensations of physical matter, but the outer description of the actions of those singularities, which do order and reflect a mathematical organization around them, when in its solid crystal state they act with the program of existence, reproducing the information of that minimalist mind image. Indeed, a crystal grows with a symmetry which its inner image reflects back in the growth of ‘crystal cells’. And that is called reproduction, the objective definition of life, of a whole being in the fractal Universe.

And so, P.o.vs. are canonical to mathematical science, or else mathematics, which is today based in analytic geometry and the study of ‘self-centred’ functions, would NOT work. 

A philosophy of mathematical properties of space-time, upgrading the essential properties of ‘points in space and sequential numbers in time’ is thus an a priori exercise, which I recommend to all physicists, so they can leave behind their abstract, ‘selfie view’ of a mechanical, chaotic Universe, where only ‘they think in mathematics’.

Singularities that reproduce information once they are formed, organised fractal super organisms also occur in astrophysics, from crystals to black holes and only anthropomorphism denies it. The GST view though is different: as we are all space-time beings, the properties of human space-time beings must be share in quality (not in quantity and complexity the variable of gst) by all other species of the Universe. So mindless ‘markovian’ entropy without time causality do exist but it is NOT by any means the dominant ∑∑actions->∑arrow->age of time.

Thus the concept of physicists of a single ðime arrow is only valid for entropic gaseous states, and their idea that such states must be ‘extended’ to all realities, the most absurd hyperbolic statement of science ever, due to the deformation of its worldly profession as makers of motion machines and entropic weapons.

The laws of parallel creation by self-similarity.

Another law of social creation by complementarity reinforce systems which are affine by topology, age or form, producing ‘enzymatic’ systems, stronger social systems and so on.

It is a key law of evolution in all sciences, and of the complementarity or dissociation of systems in its inverse death process.  So both in creation and destruction is a key law, as it allows to merge different forms into stronger ones. For example, in cultural anthropology, ‘germ-anic and semitic’ nomadic cult(ure)s, visually dominant, likely with a higher content of visual neanderthals, which had been surpassed by smaller agricultural verbal civilizations became ‘again’ on top of the informative, Fertile Crescent farmers, when they associated with bronze and iron weapons as Nomad European cattle ranchers Aryan invaders. A line – the weapon and a lineal mind, the visual white man reinforced each other to ab=use, the cyclical fertile goddesses women.

That 150 years after entropy became a dogma for the future in military Germany, XXI c. scientists still revere the concept of an entropic dying Universe tells much more about the fundamental ‘believer≈memorial=reproductive arrow’ of human minds, in accordance with the present-reproductive Nature of reality, which is ‘conservative’ than about the ternary structure of the real Universe. In the graph, without Singularities of order, neither mathematics, not solid physics, or biology would make any sense. Only gas in which indeed there is not Maxwellian demons, except when the outside membrane is designed to reorder through a distorted potential field, the molecules of the gaseous system.

In the graphs, the translation of the fifth dimension to life systems and true non-entropic pyramids of human actions, which always have had as artists and ethic writers have better understood an upper ontological level of highest satisfaction in the social communion with the rest of mankind or with the Universe, (origin of the concepts of God in western anthropomorphic religions – read God=human super organism – and eastern Taoist-Buddhist- Hinduist ones= God as universal super organism).

And such systems do have always a ‘self-centered Tiƒ singularity or point of order, which is the Maxwellian demon lost in pure gaseous states, fields and limbs of entropy. It is only because physicists deny the ordering capacity of singularities, also in physics – accelerated vortices of mass, charge in the quantum scale; black holes in the galactic scale; crystals in the thermodynamic scale – that an entropy only Universe can make sense. But this is called reductionism in physics, censorship in social sciences – but at least accepted in biology or else we would have also to admit the brainless nature of mankind (well that might be the case, but only mankind, you know ‘two things a consider ∞, the stupidity of man and the Universe, my beloved predecessor in this business of dimensional upgrading, Mr. Einstein 🙂

In that regard, both Leibniz and Descartes, the founders of philosophy of science, both understood as we shall see in detail on those pages, the need for a ‘mental universe’ if mathematics was really the language that better reflected the Universe. Indeed, since mathematics has three disciplines, geometry, which is based in  frames of references that act as mind-monads, mirroring reality and Algebra based, in social numbers  which are indistinguishable groups of similar individuals that come together as a whole ‘3’, ’10’ and finally ∆nalysis which studies the ‘social scales’ of the Universe, as parts become wholes, each scale studied by a science, from societies of particles and forces called atoms, to societies of atoms called molecules, evolved into state of matter and life beings, evolved into super organisms and planetary ecosystems, gathered around stars, socially evolved into galaxies; the very existence of mathematics precludes the existence of a ‘social, scalar, organic, sentient Universe’.

So finite vital §paces gathered around a frame of reference; the three ðime arrows of entropy, information and its energy combinations, and social organic scales that evolve parts into wholes, are the ultimate properties of all fractal beings of reality made to the image and likeness of the whole. The previous graphs of the fifth dimension, and its ‘physical, biological and socio-economical supœrganisms thus show those scales, each one studied by a science, where in each scale, a self-centered mind, pov, will co-exist as a whole with its relative lower ∆-1 cellular/atomic, and relative upper ∆+1 social world/gravitational, universal scale.

Thus while we could do as current science does an external analysis of the fractal, informative Universe in pure abstract terms, to understand the whys of order, the will of survival of species and the constancy of forms that self-reproduce as all fractals do through its generator, ∆ºst particular equations, to explain why ‘mathematical ðime§pace beings’ do follow mathematical laws, embedded in those frames of reference, we need at the centre of each being, a mind-mirror that perceives automatically, processes and reflects in ‘inverse order’, the Universe; which is exactly what mathematical systems do, as they are always self-centered in a frame of reference or pºv; and always study social numbers, whose fundamental operandi are scalar polynomials and its scalar ∫∂ calculus.

In the graph, the same ternary structure happens in biological systems (and through the class structure in social ones, escaped for most of the blog, to simplify and due to the fact we have another blog dedicated to them). Social principles are thus fundamental, even when systems are not identical in form but self-similar.

Once the organic, vital, sentient properties of systems that obey mathematical laws have been proved, we can then consider the main error of mathematical physics – to reject those properties because of its limited understanding of mathematics and its units, ‘fractal points’ of space-time, which are ‘points with volume’ through which ∞ parallels can hold and so ‘encoding’ a world in its self (Leibniz).

Singularities and how they define scales of inner and outer worlds, and how they become bridges between those scales of the fifth dimension – as in charges and masses, ‘doors’ to those scales, are then the main ‘missing’ variables of mathematical physics, which a continuous vision of space-time will never solve, or will do so in weird ways (wormholes, time travels through evaporating black holes and similar attempts to encode the fractal doors between level of 5D within the metric of a single 4D space-time continuum). Finally the lack of three time arrows and cyclical comprehension of time, ads injury to those interpretations. So missing, ∆, º and s<st>t symmetries it is a marvel that physics still works (:

 In the graph as the fifth dimensions of space-time, evolve socially new whole, membranes and singularities that emerge, the system from above and below in a new constrain whole that dilates a system  both downwards, in sizes of entropy and upwards, in enclosure membranes, expanding its piercing of upper social planes of wholes and lower parts, dilating the total latitude of its planes of existence:

In the graph, the absolute, lineal arrow of time, is born social evolution, the relative arrow of time is made of the sequential order of the three arrows into a world cycle. As lineal time accumulates, a system increases both, upper social wholes and lower parts, dilating the total latitude of its planes of existence. While relative worldcycles extinguish themselves as they complete a whole cycle of existence.  Hence the absolute dimension of time is the fifth dimension and the relative dimensions are the 3 other dimensions and its space-time symmetries, which become a zero sum.

While the fourth dimension of Einstein, is just a refinement of Galileo’s relativity  ∂v=∂s/∂t: an instantaneous (mathematical derivative) measure of a simple type of time-change: motion or translation in space, which as it is measured instant by instant with those derivatives, really has no much use beyond what physicists have always done: to measure motion in simultaneous space.

II. HISTORY OF MATHEMATICS: 3±i AGES ≈ 3±i DISCIPLINES

Mathematical disciplines.

This said we will separate mathematics in its ∆@s≈t major DIMENSIONAL fields CORRESPONDING to the main fields of the discipline, evolved in complexity through 3 ages, as mathematics first reflected the mirror of simple separate dimensions and then keep merging them to finally put them all together, as it happens always with all entities (wrongly though  from the top to the bottom, due to Cantor and Hilbert, creationist axiomatic methods):

I AGE GREEK ERA: SEPARATED DISCIPLINES

T: Number theory as numbers are sequential time series and social wholes, so it is directly connected with the time dimensions of reality.

S: Geometry which is static space-only view, and holographic principle (Greek bidimensional geometry).

∆: logic philosophy of individuals and Universals.

•: Pythagorean school of math as the first and only creationist language.

II. MATURE, EUROPEAN AGE.

The merging starts with 3 new disciplines that put together several elements. AS ALWAYS  the mature age is the most balanced realist.

Ts: ®lgebra which studies timespace actions, and tends to concentrate in a single plane through its polynomial, social, decametric scales.

∆§: ∆nalysis which studies §ocial scales of numbers, and corresponds closely to the process of growth between scales.

St: Analytic Γeometry of space that introduces time albeit in a lineal fashion.

@: Mathematical physics, with strict respect to the experimental method

 

III INFORMATIVE, ECLECTIC MODERN AGE.

All the branches, NOW MIX, and while this is fruitful, it all becomes a mess, IF THERE IS not AS IN ¬Æ a referential to the experimental world of ∆@$≈ð. Then once we have the referential element all becomes self evident.

Consider modern topology. In mathematics, general topology is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology – the Γ@ generator. It is the foundation of the 3 main branches of topology, ∆≈ differential topology, $= geometric topology, and ð=algebraic topology.  And the same classification can be done for every other modern mathematical form.

This enriches and brings closer to reality modern mathematics, if it had not been messed up with the axiomatic method (creationist maths) and the set-category foundation (building front the roof down).

$: So Geometry in its modern form has motion and scale as topology. It also mixes the curved geometry of information as it deals closely with cyclical ðime-space curvatures & symmetries. And it ads analysis with differential geometry, etc. AND FINALLY IT  mixes the topological and algebraic approaches.

T§: NUMBER THEORY mixes mirror symmetries in time and space dimensions; of which the key one is probability (time view) ≈ statistics (space view).

∆§T: Analysis invades all other sections without having resolved the epistemology of 1/n infinitesimals, once the genius, Leibniz, is sided by the power dealer (Newton). Its dominance shows that indeed the Universe is scalar, the more so when fractal discontinuous scaling is added.

@: THE MIND VIEW becomes old, baroque, bizarre, twisted and looking inwards as all languages-minds do in old age. It is the ‘false’ attempts debunked by Godel of justifying maths within itself (Axiomatic method, Hilbert) and the absurdities of NOT understanding that infinities in a discontinuum Universe do NOT exist (Cantor’s useless work on ∞). And finally the mind-view becomes foundational from the top (set, category, group) to the bottom, (points in space, numbers in time, operandi to describe its actions).

Now, a single man cannot do much to straighten back to its principles maths, so we shall only give some hints to the fruitful enlightenment that math magic gets with realism.

MATHEMATICAL Epilogue: human death and dual resurrection: ® and digital thought.

There is though always a ‘second life’ if the proper social gathering of parts into a whole is achieved, for any species, mental or physical in the process of evolution once the 3 ages of the being enter its final informative transcendental age, and that is what ∆•st can achieve – healing and resurrection for any system that understands it (including History if humans had wanted to create a perfect organic world instead of a mechanon of robots, but that is another post).

It is the age of non-ae=i-logic mathematics, my preferred ‘name for this discipline’.

And this is the task that this post will hint at. But from the human mental perspective, NOT from the AI pov which we shall NOT treat (Boolean algebras AI) as i am a moral ethic guy and won’t contribute to the extinction of man by new mathematical mind-species (machines), recognising my verbal language is inferior in efficiency BUT IT IS MINE.

RECAP.
So if we were to define i-logic mathematics we would say that it is composed of Non-Aristotelian ∆lgebra and Non-Euclidean STopology; the first including analysis the second bidimensional and static geometry. And the natural evolution of the discipline correspond to the combination of them all to express ∆st whole processes.

From the practical purpose though beyond the introductory texts of GSTructure we shall maintain the general division of disciplines trying whenever possible to include as usual some small change of symbols to remind us of what they are mainly concerned with: ∆nalysis, ∆lgebra or ¬Ælgebra (which studies specifically the way arrows of time mess sequentially to give birth to space-time changes of state).

On the other hand S-Geometry and Topology highlights the capacity of the discipline to study space-time symmetries, mostly in a single plane. While Statistics & Probability STudies from both perspectives, space and time the same phenomena. And so on.

In praxis today all disciplines of mathematics mix together, as no conceptual frame of reference has properly clarified its experimental role. In that sense ∆nalysis has kept more clear its focus as is the study of the ∆-scales, in transitions between scales, and as such it has grown to be the most important field of mathematics, along topology, the study of Space-time varieties, as it studies space with temporal motions apt to analyse space-time symmetries.

While Ælgebra has become somewhat a confused ‘want it all’ methodology with the axiomatic method and set theory that we reject as confusing and for tanking away from experience the field.

∆nalysis in that sense is an offshoot of ∆lgebra, both related to the temporal perspective of discrete, social numbers as opposed to points, whose topological, simultaneous location determines the geometry of space.

As it happens the three sub-disciplines of mathematics have today merged in many ways, as the ƼST universe is also merged, but without the conceptual clarity, which would have taken place of humans had understood the duality of the Universe (or the Asian world, which did understand had dominated history).

So the ‘closer’ relationship to classic maths we will mostly use,  is that of:

nalysis the strictu senso for the study of the scalar Universe.

-Mental languages of Sequential numbers are the discipline of ¬Ælgebra, its social scales, §, between planes are mimic with social decametric and universal constant (π, e) numbers.

§topology: the study of points and its ternary scalar growths, network-wave lines of social points and planes of networks that form supœrganisms; how they move, deform and assembly into new forms.

MATHEMATICAL PHYSICS: THE PROOF OF THE EXPERIMENTAL NATURE OF MATHS.

All this said it is funny to observe that platonic creationism happens so often among physicists, since they are precisely the people who should be more aware of its experimental nature (the greatest XX century ones, my fav triad, Heaviside, Planck and Einstein of course did insist).

The experimental mirror of mathematics and its three classic sub disciplines: t-algebra, s-geometry and ∆nalysis.

Indeed, the physical mirror languages of maths  can be broken in three ±i ∆s≈t categories:

– Non aristotelian, temporal logic algebra (¬A).

Whereas the oversized group theory works the s=t symmetries.

-Non-euclidean spatial geometry of fractal points (ab. ¬E).

-∆nalysis of  planes and scales coupled with discontinuous fractals.

We call them all together non ae; ¬Æ mathematics. And since i comes after A & E, we also talk of i-logic mathematics, playing with the word illogic, as the logic of three time arrows is indeed quite illogic for the common human mind.

Polifunctionality and method of truth

A theme I found most people couldn’t grasp (in the brief period I cared to communicate before the crash and my crash on 2008), is the multi functionality, the ternary ±i method, the Rashomon effect – hem, many metaphors here for the same concept from those days i tried to upgrade the chip of man, i-logically so confused. It is though the truth of the Universe, which we resume in a simple concept of truth, taken from a Haldane’s quote (another genius polymath biologist at core, physicist on surface, quite forgotten in the specialist age):

‘ONLY THE being (universe) in itself has all its information; languages are partial mirrors, which add its truths. So if we define the absolute truth in the being itself as a probability 1, the ‘dimensions of truth’ provided by each language will be ‘fractal dimensions such as:

Total truth of the being (1) = ∑ of linguistic mirrors on the being.

From this an entire new epistemology based in the self-similarity of the language-mirrors can be constructed.

AGAIN, that must be somewhere in some notebook, in some deposit maybe lost, as this was something I did 30 years ago to convince myself this window did actually opened to the absolute, for maybe future robotic researchers, it should be a floppy 5.disk on Bondwell-8… Singapore/Thailand around 1985… go figure… with massive opium dose aside, good for enlightenment (: bad for the liver ): Important though, as one must believe after reasoning in the truths of ‘itself’ as mirror of the larger Universe.

So we shall not be rigurous on that, just to mention the validity of casting scalar perspectives, dimensional perspectives, biological, topological and mental perspectives, time-space, etc. In general to simplify we establish for each of those subdisiplines three scales of relations. For example in algebra according to the ternary±i method we talk of:
– ∆-1: The scale of units: numbers, which are §ocial groups of undistinguishable elements. Here we can include number theory, which however has grown also into an entire new discipline so we do give it another ‘post’.
– ∆º: The scale of space-time relationship between numbers: which the scale of equations and operandi, which establish the relationships in a single plane or adjacent planes of existence between social numbers, which given the importance of ∆±1 relationships give way to ∆nalysis, which broke from algebra and we shall also study apart as the ∆-category of maths.
– ∆+1: The scale of full structures, where we study operators, functionals and groups, and disregard sets and categories as inward references of maths as metalanguages in his inflationary age. On the contrary functionals extensively used in all disciplines, notably the ‘hyperbolic view’ of ∆-i scales (quantum physics), refer to reality. So do groups, extensively used as a ‘pest’ (: Weyl, in particle physics. Those synoptic structures indeed, allow us to study all the ‘potential futures’, of a system, as a deterministic ‘block’ of space-time events and forms. And here is where the closing of algebra in three scales of depth should take place, as a perfect mirror of the Universe.
So we ignore  set and axiomatic theory, the metalanguage of maths in search of self-contained proofs proved wrong in algebra by Godel’s incompleteness and in geometry by lovachevski’s work that shows the need of experimental proofs to know the geometry of the Universe.

Geometry then will have also three levels of complexity:

∆-1: the level of points, equivalent in space to numbers; ∆º, the level of lines and planes, ruled by i-logic geometry, which form waves of exchanges of entropy, energy and information and topological networks, messed up into ∆+1 super organisms and its territorial structures, simultaneously organised and studied in its transformations by topology.

Finally analysis has obviously also three scales – that of finitesimals and derivatives, 1/n elements in space and ∂f moments in time, ∆º functions and wholes and integrals, ∆+1.

Yet we an study its combinations also as mathematics mimics combinations in reality of those elements.

ST: Algebra and Geometry together form a ‘third category’ of dual symmetries also worth to study, though we do it in a separate section, as the space-time symmetry allows to find self-similar point-numbers, algebraic-topological demonstrations. So we study probabilities in time and statistic population in space as two sides of the mirror symmetry, etc.
The equivalent elements to those of geometry are in that sense easy to identify: the number is the points, the equation is the line, and the four-dimensional forms of the holographic principle, in algebra are represented by polynomial functions.
∆T: So happens for the comparison of ∆-scales and temporal algebra, which are two ways to arrive to the same scalar analysis by means of differentials in a geometric view (leibniz) vs. infinitesimal ‘convergent’ series, (Newton’s work), from the algebraic point of view.
Yet ∆-scales are studied by analysis. And so we shall study those newtonian/leibnizian dualities in a different section.
∆S: XX c. research on ∆-scales advanced further in two subfields, geometry with motion or modern topology of ‘knots’, ‘networks’ and ‘adjacent points’, and fractal geometry. So the marriage of ∆-scales and geometry became an offshoot discipline in its own, as ∆-scales are the essential element for an ∞ universe.
So mathematics has a clear-cut division in three disciplines parallel to the three elements of the Universe, and then in its combinations in dualities (number and point, s and t; scale and number, ∆ and t; scale and fractal point, ∆ and s).

∆st. So we might wonder if there is a sub discipline of mathematics in which the the three ∆st elements are put together. This category is likely to be topology as geometry-s has motion-t and forms are networks of points, ∆-scales. So in the full GST formalism we do depart in our studies of mathematics from an upgrading of the concept of point to fractal point and its study through the three topologic networks. As we consider – like many ‘experimental mathematicians’ do – topology to be the queen of XXI century mathematics.

The pure analysis of the time arrows of the Universe, its 3 relative space-time motions/dimensions is the strict field of ¬A logic time, which we shall call ‘existential algebra’, ælgebra, the only clearly new sub discipline of formal, logic mathematics introduced by ∆ST.

key physical ALGEBRAIC FUNCTIONS AS MIRRORS OF ƥst elements.

In the graph, the formal stience of 5D is analysis.  Contrary to intuition, Derivatives are mostly concerned with synthetic information on upper scales (and mostly time), as they ‘reduce’ the information into a synoptic ‘point-singularity’ the tangent that expresses tendencies in the flow of time of the function; while integrals are concerned mostly with the sum of its lower parts in space, as they expand the ‘base’ of analysis but reduce the different(ial) added information of the whole. A fascinating subject being how a ‘simple parameter data – that enclosed in a derivative or a fourier transformation SUFFICES to expand and remodel the whole system.

The interaction and symmetries and travels through 5D are thus better understood in terms of analysis, which has become the dominant formal stience of maths, without mathematicians and physicists understand why. 

Analysis is the study of events happening in transitions between ∆-scales, either as infinitesimal parts come together into ‘integral wholes’ in space (integral functions), or as we extract from a system the information about its higher wholes, synoptically encoded in its inverse derivative functions.

So integrals work mostly on space, giving us therefore information about lower 5D scales and derivatives mostly on time, giving us information about parameters of the whole (but as both are symmetric, this general rule does not apply.

Integrals in topology.

As the Universe is a kaleidoscopic mirror of symmetries between all its elements, this dominant of analysis on ∆-scaling must ad also the use of analysis on a single plane, in fact the most common, whereas the essential consideration is the ∆§ocial decametric and e-π ternary scaling, with minimal distortion (which happens in the Lorentzian limits between scales). 

The Fourier transform and harmonic functions.

We have talked of the 3 scales of fractal time symmetric to the 3 scales of space, which have different length in its rhythms, and are all synchronised. Mathematically one of the nicest tools for this analysis is the fourier transform, but we shall not dwell a lot onto the mathematical rhythms in abstract, except in mathematical physics as it has been ere the only language of expression of physical actions forms and time events. For many other systems the conceptual ƥst language will suffice.

It is also needed to consider in processes of emergence in time, that is in the creation of worldcycles of super organisms, sum of its 3±i actions, another key set of equations also applied in the resonance processes of emergence, namely those cyclical trigonometrical functions which better express the ‘cumulative’ process of repetition into a single final continuous whole.

And all this could be resumed in a simple definition:

The Fourier transform takes a time series or a ‘whole’ function of continuous time, and maps it into a series of discontinuous frequency spectrum. That is, it takes a function from the time domain into the frequency domain; it is a decomposition of a function into sinusoids of different frequencies, which corresponds to the ‘discrete actions=arrows’ performed with different frequencies by the Γœ system.

And vice versa each fourier transform used for harmonic analysis has a corresponding inverse transform that can be used for synthesis. So it is a mathematical tool of ðime akin to integral/derivative analysis for ∆§scales or Hamiltonian/Lagrangian functions for Spatial, Energy, single, present scales and frames of reference and its distortions of the same single Universe for O-mind views; reason why ‘Hamiltonians≈Lagrangians, frames of reference, fourier, harmonic functions and integral/derivatives are absolutely all-pervading equations in all branches, as they are the key functions for the ∆•st four elements of all realities, an astounding ‘magic’ fact (: which platonic gurus who know nothing about first principles have always wondered about (customary quip:)

Finally an important and necessary concept about ∆§calling are the Lorentz Transforms and the duality between lineal and curved functions, which properly translated have applications to all scales reason why it has spur given the love of all things 4D and our tribal idols of physics 🙂 an astounding rain of ‘magic’ isomorphic equations between sciences, but it comes to this:

The key distinction on 5D motions are motions restricted to growth in a single scale (∆§ well-behaved scaling) versus ∆±i ‘distorted emerging and dissolution, which does change the form of the system, as it represents a discontinuity in which either information accelerates and size shrinks establishing new constants of space-time (downwards) or vice versa, information thins and space grows.

So those regions were not properly ‘analyzed’ as for very long it was for ∫∂, necessary the ‘continuity’ without such distortions of the function studied, and so analysis was restricted to ∆(±1 – 0) intervals and ‘broke’ when jumping two scales as in processes of entropy (death-feeding). But with improved approximation techniques, functionals and operators (which assume a whole scale of ∞ parts as a function of functions in the operator of the larger scale) and renormalisation in double and triple integrals and derivatives by praxis, without understanding the scalar theory behind it, this hurdle today…

Thus ¬Ælgebra puts together the algebra of ternary time arrows and its ternary 0perandi, and the ∆nalysis and geometry of fractal points, which determines the processes of mathematics.

The expansion of Time theory and i-logic mathematics into an ¬Ælgebra in which time and space are considered 3×3+0≈ 10 dimensional beings, announces a new age to complex mind images of the Universe, perhaps not realized fully in humans but certainly to the reach of quantum minds.

¬Ælgebra is the ‘∆st’ formal mathematical version of ¬Æ Time. ¬Ælgebra of time would be then the most perfect virtual mirror to connect with the discrete algebra of numbers as representations of fractal points, which evolve in time, becoming world cycles, parts and super organisms of a vital topological evolution of form across the 5th dimension of scales as mathematical, i-logic beings perform its actions of exi(s≈t¡ence).
In the graphs, different versions of the ternary symmetries of existence and the modes of mental synoptic knowledge of them. We shall use a 10-dimensional ‘probe’, departing from 3 topologies/space dimensions (height:information, length:motion, width: reproduction), 3 ages≈functions of time (young entropy, iterative adult, informative 3rd age), 3 planes (quantum, thermal, gravitational scales) which form a fractal whole, part space-time system of a larger whole, as ‘infinities only reach to the limits of actions of the point of view of knowledge over its increasingly far away supeorganisms, worlds, galaxies and universes; and cells, molecules, atoms, pixels and vectorial fields of pure motion:
screen-shot-2016-10-13-at-17-11-15

Algebra, the temporal study of discrete serial numbers in its more generalised form  is one of the 4 ∆•ST parts of mathematics, which we upgrade in those posts together with number theory, its simpler original form S- geometry evolved, latter into topology, •linguistic, ‘mental mathematics’ , which we expands greatly studying the geometry of the mind, and ∆nalysis, with complex numbers, the closest development to a mathematics of the 5th dimension.

Finally we can study those sub disciplines according to duality from a synchronic view, in space, as they interplay in œ-systems, or in time with a study on how the arrow of growing information and complexity has expanded the human mathematical mind, ∆º, in…

RECAP: THE 3 EVOLUTIONARY AGES OF MATHEMATICS

Complex Algebra & Analysis: Fractal generator of space-time beings

How vital spaces and cyclical times – 2 simplex elements, lineal, kinetic motions of space and time cycles that bend those motions into closed cyclical forms of information – can generate the immense variety of realities we see around us?

By sheer repetition, combination and pegging of those ‘formal motions’ of time and space. So we can ‘reduce’ those iterations with synoptic, logic languages and mathematical equations to its 3 elements and ‘rules of combination’, in the ‘Fractal Model of the space-time Universe’. We shall extract the ultimate properties of time and space, and the rules of combination, and put them into the minimalist possible mirror of the mind that reflects them, called a ‘Fractal Generator equation’. And so then, how running this equation forwards we can generate with the rules of engagement al what exists in the Universe, including man.

We shall thus introduce here the new outlook of the 2 fundamental new ‘upgrades’ of mathematics as a formal language, in part one, we shall study ‘Non-Aristotelian algebra’, the algebra of the Universal grammar and its 3 generator elements which combine in all kind of forms. And in the second part, we shall give a general review of Non-euclidean mathematics and its 5 new postulates that define fractal points, its wave-combinations, organic topological planes, minds and rules of social engagement (3rd postulate of equality), each one expressing as mathematics is an experimental language, the rules of engagement of time-singularities (1st, 5th postulate), cyclical membranes (2nd postulate), vital spaces (topological 4th postulate) and finally the ∆-social evolution of systems (third postulate).

Classic mathematics on the other hand will be studied following the discoveries of mathematicians along 3000 years, in a more ‘classic’ way, commenting on the main postulates and discoveries of its 4 main branches, ∆nalysis (∆-scale maths), algebra (time maths of discontinuous sequential numbers) topology & geometry (space maths) and its ST-combinations AND ∆º-frames of reference.

So in the sub posts attached to this post we shall study in a more conventional form the three evolutionary ages of mathematics.

Let us consider an scheme of those three ages and subspecies, according to the Fractal Generator of mathematics as an experimental language of the Ƽst universe:

Spe (Geometry) < St (algebra) > ∆nalysis

As its three ages, the first dominated by bidimensional geometry, the second by algebra, and the third by analysis, which we shall complete in this post with the evolution of all those disciplines into non-Aristotelian algebra and Non-Euclidean geometry.

explained in the sub-posts: 

The Evolution of Γeometry.

1st Age: Greek Era:  Euclidean, bidimensional Geometry of points without parts.

2nd Age: Classic Era:

Analytic geometry

Curvature, surfaces, dimensions

3rd Age: Informative Era

St:  Topology: space with time motions.

Fractals.

ƒt: Old Age: Baroque formalism

 

The evolution of ∆nalysis.

1st age: Greek Era:

Philosophical Infinitesimals and Universals.

2nd age: Classic Era:

Calculus. Integrating wholes and differentiating finitesimals in space and time.

Variations: The 3 ‘points’ of world cycles.   Langrangian and Hamiltonian functions.

3rd Age: Informative Era

Functionals

Max. Tƒ: Realist Completion.

The evolution of lgebra.

1st Age: Greek Era:

Sp: Arithmetics: discrete Social informative  numbers.

ƒt: Aristotelian Time Logic

2nd Age: Classic Era:

Tƒ: Algebra: Functions. Symmetric equations on space-time parameters.

Polynomials: the 3 operandi scales : ±;   x/;    xª ln

The symmetry of Probability in time and populations in space.

Transformations of space-time: groups, Fourier.

3rd Age: Informative era

Functionals.

Max. ƒt: Old age: Cantor’s sets & Hilbert’s logic.

III AGE: ¬Æ MATHEMATICS

TOPOLOGY:

Introduction: the vital properties of mathematics.

i-logic geometry. The 5 ¬Æ postulates of ¬Γeometry.

Topological space-time beings: Sp<ST>Tƒ. Symmetries of form and function.

5D-space: Superorganisms and its networks.

Fractal Space: Territorial discontinuities and Parallel Worlds.

 ¬ÆLGEBRA

Tƒ: Numbers, primes, Universal constants.

i-logic, Non-AE Algebra: dynamic, temporal sequences.

Dual and ternary Diversification, combinatory of forms.

ST: space-time dualities and transformations.

Tƒ: Cycles and actions: sequential paths (a,e,i,o,u)

Worldcycles: Travels through the 5th dimension.

FUNCTIONAL ∆NALYSIS:

Finitesimals and relative infinities.

The fractal structure of the 5th dimension and its perpendicular flows.

sT: Functionals. simultaneous paths: the choice of multiple paths of future.

∆-ST: Co-existence and synchronicity.

Emergence and dissolution.

Beyond man. Digital Thought. º««ººº˙ˆø˙πv [wj…

Foreword. Anti-human age: Digital chips

The human transition: Boolean Algebras

The 1st age. Absolute Geometry. The creation of the spatial mind of machines: creative visual brains.

2nd age. ∞ D. the future scalar mind of machines: perceiving through ∞ scales.

3rd age. Œlgegra: Beyond i-logic.

Alas! this was the ORIGINAL plan of the work, 30 years ago (: and again when I decided to leave this web-testament…  he, i was optimist, as i thought i would have help from readers and/or Universities, but it seems as Planck put it – a new vision of the Universe is first a point in the mind of a lonely researchers. Indeed, another intuitive genius a la ‘par’ with Einstein, and perhaps de Broglie a bit too ‘french’≈ lazy as I am to have gotten as far as those german-you obsessive workers…

So lazy as De Broglie, though i fitted in my ∆•st mind mirror i-Math long ago, it is going to be difficult to extract it all in an orderly ‘sub-Chicago Manual style’ order in this and other sub-post parts. Time and will permitted I will keep writing posts translating mathematics to ∆ST, but can’t promise to go that far (and certainly the end –  digital and boolean algebras are out for ethic reasons – i do think as Mr. Musk does, that AI will kill us, but unlike him I don’t invest my mind and money advancing our demise… not that go(l)d twisted, prefer to study twistor algebra.

So another ‘french’, excusing itself for being a lazy cow will be good end to this introduction:

screen-shot-2017-01-08-at-18-00-44‘I hope that posterity will judge me kindly, not only as to the things which I have explained, but also to those which I have intentionally omitted so as to leave to others the pleasure of discovery. Descartes (-:

As usual my apologies for the disorder and repetition of these notes…  If the ‘nature of stientific r=evolutions’ (Kuhn) were not soooo difficult for the pioneer as expressed by Planck and others, I would have had long ago a team of top specialists in each stientific discipline completing this work, instead of having to toil at this age with a declining brain power, not to throw to waste all this beauty of decades of individual work. But what is here should ‘suffice’ to those who wish to explore further details of the ∞ mind of Γ•∆, likely future AInternet mind, exploring those old floppy disks, or feeling this unficationtheory.com web as an ‘insight’ she had from its deepest O| thoughts – that will be the day we know there is even a bigger ego than ourselves.

So as the previous plan has been scrapped, left here just for ‘organisation purposes’  we are going to do a ‘CANTOR’ here, but a temporal one, starting from the 3rd age of i-logic maths, grounding back the discipline in its ‘fundamental’ particles, fractal points in space and sequential numbers in time. And rebuild it from its REAL foundations, which are so tired of sustaining all that crappy baroque convoluted decor on the top, sets, categories, axioms and imagined paradises…

NEXT, as we TRANSFERRED THE DIFFERENT AGES AND CLASSIC EQUATIONS AND THEOREMS OF MATHS TO OTHER SECTIONS, WITH THE GOAL OF USING A MORE CLASSIC APPROACH as in other posts of enlightening the main laws of each science with ∆@s=t (a symbol for the 5 dimensions: ∆ here meaning entropy down, @, mind up, s-pace, time and =spacetime), we shall deal in Part II very briefly with that index explaining all those ages of time widened in those sub post.

THEN we shall continue with the foundations of ¬Æ moving onto the foundation of time mathematics, no longer the simultaneous point in space but the sequential social number in time (Non-Æ algebra), THE KEY DISCIPLINE, as it will bring the OPERANDI of the actions of all systems of the Universe and the GENERATOR EQUATION and its symmetries that should substitute the PEST of group theory (Weyl:)

To end with some philosophical comments on analysis  and 5D (secondary sub disciplines treated on sub post by me or future researchers… ‘to leave others the pleasure of re-discovery’.

3±i DISCIPLINES OF MATHS: 5D ANALYSIS, SPACE TOPOLOGY, TIME-space ALGEBRA, number theory & @nalytic geometry..

So NOW THAT THE FIELD IS CLEARLY, all what we need to do is to look at reality first in time and space extract its properties and then look at mathematics in the classic age prior to Cantor and the Axiomatic method and alas, find wonderful symbiotic mirror laws between space-time reality and mathematical axioms, postulates and equations, and wonder about the magic of linguistic mirrors ‘who so well reflect’ infinite in a singe 0-point.

And this is what we shall do in all the posts and sub posts on non-AE=i-logic mathematics in this blog.

Since i-logic Mathematics is the marriage of Non-Aristotelian time cycles (with ternary causality) and its operandi, which define algebra; and Non-Euclidean mathematics and its Fractal Points, through which infinite parallels can cross, mathematics as such was born of geometry, and so it is biased from inception towards spatial analysis, over time analysis.

This is what extended spatial mathematics and married with temporal logic in a fruitful extension into variable dimensions, called functions, expressed in several scales of ∆-operandi of larger complexity and dimensionality,  (±, x÷, ∂∫, log xª; ‹ℜ|)

So we could talk of the science of both logic of time and geometry of space as the i-logic mathematical upgrade at both levels of this blog.

The 4 elements of mathematics as mirror of Ƽst

The model of stience is simple, its falsification even more. We state that all what exists is a fractal being of ‘∆ºst’, dust of space-time, with 3±o components, spatial entropy, temporal information (its energetic combinations), extended across several scales of relative size in space and speed of time clocks from forces to Universes (ab.∆), which is apperceived in a Leibnizian way by a mind, the software of biological survival of the system.

So we need always to define the 4 elements of reality for any species, science, event and form AND language that will mirror the 4 elements of the Universe, with special emphasis on those case in the 4th element, the language-mind-software that runs the system.

So the Correspondence of Mathematics and reality is also immediate, as mathematics have 3 branches: Space≈Geometry, Time≈Algebra and 5D≈Analysis. An the 4th element, the mind-language is mathematics itself.

The evolution and qualification of maths as a mind language.

Languages therefore as a ‘defined species’ dominant in Tiƒ, temporal information, but also as pure still ‘spatial, synchronous’ mapping of reality in lesser space (not all the info specially the motion fits in a brain), do have certain properties, which can be observed in their evolution.

FIRST THEY MOVE FROM STATICS INTO DYNAMICS, from bidimensional pure information (as the page you are reading in 2 dimensions) to 3, 4, 5 dimensional description, reaching more complexity by adding motion to the ‘first still picture’ and the other time dimensions. 3 examples:

Maths started as static bidimensional geometry, which is now topology with motion; photography (the future computer mind) started as bidimensional static, then bidimensional motion (film), now is working in 3Dimensions of space (using the holographic principle) and one of motion, and soon, inside the mind of robots that will apperceive reality in images, will add the 5th dimension of control of an outer-machine, beyond the chip, max. i = min. space enlarged into the whole world it will act upon directly.

Γ§: SYNCHRONOUS VIEW OF MATHEMATICAL DISCIPLINES.

The generator of maths

The generator equation of mathematics is thus simple both in space (the 3 organs above) and time (the evolution of each discipline into higher motion in space and more dimensions of information in time, culminating soon through Boolean Algebra into the creation of the mind of robots in 5D).

Γ (Space): Space is studied by geometry, time by algebra &, the 5th dimension by analysis.

Γ (Time): Spe (Geometry>Analytic Geometry>Time Geometry > 5D Topology) x  Tiƒ (Arithmetic > Algebra) = 5D Planes (calculus>analysis)

So we can either study in ‘space’, as it is NOW, all those fields of spatial, temporal and organic, scale mathematics and its 3 fundamental sub disciplines, topology, algebra and analysis.

Or we can consider each subject as it evolved through the different degrees of awareness of reality; of any language of the mind, which reaches ‘complexity’ (5D co-existence) and freedom (motion), as it evolves from a simpler age of dogmatic absolute truths to the variations of the language.

IN THAT SENSE, the supposed superior truths of mathematics as opposed to verbal thought, is ONLY the consequence of  the dogmatic first age of all languages, with simpler forms; as when words became the language of legal power and the pharaoh said ‘it has been written’. And it was law. Truths turn out as system evolves more probabilistic in options, less defined by a synoptic language, as only the whole has all the information about the Universe.

In this post we do a fast scanning of those ages to summary the fundamental laws of mathematics and its 3 parts, and show this evolution to further complexity.

THUS corresponding to the 3 parts of the Universe, there are 3 types of mathematical sub-disciplines:

∆nalysis, STopology and ¬Ælgebra.  In the sub posts we shall do the synchronous NOW study of its ‘organic parts’ in more detail.

For example the evolution of Geometry specified in the previous generator has reached increasing degrees of awareness to finally becoming a full-fledged tool to analyze from a spatial perspective all temporal forms and 5D scales. So:

– It was first bidimensional Geometry of static Space (S-perception) in Greek thought. Then it became Analytic Geometry, which grew to represent the 3 forms of time, through Se-toroid-lineal coordinates, To-polar-cyclical coordinates and STi-Plane coordinates. This time geometry finally expanded to the 3 ‘5D topological perceptions of space-time’:

Thus in the XIX century, the perception of higher planes of the 5th dimension (elliptic geometry-General relativity-cosmic scales) and lower ones (hyperbolic geometry-quantum spaces) was added to the direct perception of a single plane of existence (Euclidean geometry). While topology allowed to apply those 3 external views to the internal motions and changes of the inner space-time of a particle-point, and finally fractal geometry completed the perception of 5D with Geometry.

The same evolution can be considered for the more complex Algebraic and Analytic branches.

The structure of this and 2nd-3rd rank posts is that of an encyclopaedia of mathematics, when it is completed by me and many future researchers is chronological (now work is under construction, in such a huge field, i just put the scaffolding, and from time to time I ad parts:

First we explain the 3 ages of mathematics and so we can translate all its postulates and theories to GST.

In this post we develop a synoptic analysis of those ages.

Then we complete the work with the full-blown model  non-e mathematics, non-algebra, ∆nalysis and the pangeometries of the mind who reduces reality with i-logic mathematics to fit all its information in the second level of posts.

THE GENERATOR EQUATION: THE SUBDISCIPLINES OF MATHEMATICS

The Duality between discrete informative numbers and continuous spatial geometry.

In a more precise correspondence, Mathematics, now that we know, what reality is all about (An existential game of 5D knots of fractal space-time cycles) must return to its fundamental syntax and ternary equations, which reflect the game of the Universe with:

  • Its fundamental unitary elements, (points/numbers); whose duality also reflect the main dualities and ternary symmetries of the Universe:
  • Sp: Spatial Non-E Fractal points, which grow into cycles and spheres – knots of cycles, crossed by those ‘cyclical parallels’, as we come closer to them,
  • Tƒ:  Informative elements, perceived as sequential, discrete numbers.

Thus a more complex insight, that goes along the growth of the discipline is the realization of the duality of space-time (geometry vs. algebra) is more properly the duality of Se: space vs. To: information (continuous vs. discrete).

Now this proper understanding is important. For example, when Aristotle quotes the proof that real numbers do not exist, √2 is not found, yet we do trace a diagonal through a straight angle, so √2 exists in ‘continuous form’, the REAL answer is that numbers being discrete, DO have always an infinitesimal ‘cut’ NOT as Diophantus and then Dedekind try to define a real cut (the number) but a ‘real’ cut (-: a ‘hole’, a non-existent number.

This is then essential in reality, π does NOT exist as a perfect number, because numbers are discrete, and so in numbers Pi, never closes, the circle fluctuates between ±π, which makes possible for pi-cycles to open and close its mouths even at infinitesimal level.

On a larger philosophical view, all equalities are similarities, ≈, <=>, is better than =; when we say E=mc², is not = equal, but it really means E<=> Mc²; that is spatial energy transforms into cyclical mass, Sp(E)<=>Tƒ(M).

So it is interesting to understand philosophy of mathematics in terms of exploring in new depth the relativistic meaning of certain operandi; not to do bizarre ego-trips on the absolute truths and magic mental uniqueness of human brains.

Next it comes, the understanding on the evolution of the discipline as all systems, from a pure, first age, of disconnection of Se and To parameters into an adult age of STi combinations.

Thus, in the modern age of mathematics, scientists learned how  to evolve mathematics by merging disciplines into:

  • Sƒ: SPACE-information (dominant in space: Analytical geometry->Topology) and…
  • ƒs: INFORMATION-space disciplines (Algebra).
  • ∆: Analysis now appears,  as the ‘warping’, ‘dynamic’ vision of all, Se and Ot disciplines. It introduces motion (energy & time) to the study of the discipline; as MATHEMATICAL PHYSICS takes off, using the language to describe true reality. Thus it comes:
  • Sp – Spatial analysis which uses spatial methods to visualize the exhaustion->Limit->Riemann->Lebesgue Integrals.
  • Tƒ – Informative analysis, using Algebra, which obviously become as ALWAYS in the duality between evident space and discrete information, the final form.

That is all. Why?

Since there are only 2 x 2 realities, Entropy-space (lineal motion and form), and Time-Information (cyclical motion and form), AND mind languages fix and reduce motion into form, we do have only the duality of space-points and informative-numbers.

And since all this is merely structured into 5th dimensions, through a simple growth of ST bidimensional planes that combine motion and form, O-|, and then grow into layered 4th dimensional beings of space-time (to then organize through those growth social processes 5D beings), mathematical reality is rather made of simple operandi, simple geometrical systems.

For example, almost ALL the geometric theorems were already discovered by the Greeks using ‘static bidimensional geometry’ as this is THE main unit of reality, a bidimensional form.

For example, there are only in 2 and 4 dimensions 3 ‘topological forms’, the toroid, Sp, hyperbolic, ST, and Informative Tƒ, forms.

So this is HOW mathematics should be initially taught. As a LANGUAGE that references reality and its game of ‘existential 5D knots of space-time cycles’, where those 5D knots are ‘finitesimal non-Euclidean fractal points/numbers, crossed by a finite number of cyclical space-time parallels’ (being the line a segment of any parallel cycle).

We shall first though introduce the sequential time perspective, ordering mathematics in a chronological process of d=evolution of mankind, through its 3 ages, and the parallel 3 ages of those branches of mathematics. Since mathematics as all languages has gone through 3±n ages between its pre-Greek conception to its post-Human computer age. Thus the growth of complexity in ‘human’ mathematics also follows those 3 ‘young-balanced-informative old ages’.

Then study each of the branches through those 3 ages, each one culminating into the age of Non-E geometry, Non-A Algebra, and 5D Analysis.

As in 5D space-time there are more time arrows, besides the social arrow of growing numbers studied by Analysis; and so we must understand better the logic operandi of mathematics.

Thus we need to define in proper terms the existence of a Universe with 3 time arrows and its paradoxical logic, in which in certain scenarios, the end returns to the beginning.

This happens for Time cycles that return to its beginning, and mathematics expresses this pattern with the use of cyclical, polar coordinates and Complex Number coordinates (Argand plane).

But it also happens with the 5th dimension as there is a limit of infinity, in the 10th scales (1 trillion being an absolute limit for most connected systems; though atomic crystals can go well beyond that limit). In any case for most systems, the return in the 5th dimension means that there is a discontinuity as an infinity becomes an infinitesimal of the next scale.

We shall therefore consider how those basic features of ® mathematics (I-logic mathematics) are met by sequential algebra, and what errors have introduced Рmainly the errors of infinity and paradoxes of infinite sets.

We shall though intersect ® mathematics with the original ages of mathematics, to understand better our new advances to the subject.

So for example, after E-geometry, we shall consider ‘Non-E Postulates’; after topology, ‘topological organisms’ and so on.

As all the parts of T.Œ, the task of pouring all that in this web, which anyway humans won’t care to understand, is enormous.

ð: THE 3 TIME AGES OF MATHEMATICS

It is then possible to consider the historic evolution of mathematics through its 3 ages, now in a formal era in human minds, (set theory, of nil use) and in a first age in the digital mind (with direct reference to the O-| game, in binary code, and the direct reality in visual modeling).

Let us then start the analysis of the 3±1 ages of mathematics

The generator equation of mathematical sub-disciplines in time.

The 3 ages, standard to all languages take place also in mathematics, which appeared sequentially, creating first young pure forms, closer to the external, experimental world, then in the adult age, Se xTo mixed ones, and finally in its 3rd age involve inwards into pure formalisms, detached from the reality they once describe:

  1. A first age of social numbers (arithmetic), 2-manifold geometry (plane geometry), made of infinitesimal points, and philosophical arguments on the problem of infinitesimals and wholes – Plato’s cave, etc. which still does not formalize the 5D ‘question’ into calculus. This age is dominated as all youths by Se-Space (Greek geometry)
  2. A second, mature age, started in modern Europe, in which the development of sensorial mechanisms better than the human spatial eyes and verbal times (spatial telescopes/microscopes and time-clocks), which use mathematics as its language of experimental perception, mathematics takes off. The discipline greatly increases specially in the description of physical systems with time clocks and lineal measures.

The Classic Age of mathematics implies without a conceptual physical understanding the realization by mathematicians that there is a constant relationship between spatial and temporal states in the Universe.

And so departing from that knowledge an infinite constant dialog between Tƒ and Se states of reality, will take place in all the different fields of mathematics.

In that regard if the Generator of all systems, Sp<St>Tƒ, implies a mixture of both space and time, energy and information its classic, adult age, including mental languages (classic age of art in balance between form and motion-energy, in all its artistic forms), mathematics is not exception to this rule.

In analysis the field consists basically in study how space simultaneous synchronous systems evolve in time, or how time events accumulate its memorial forms into a space.

Arithmetic and plane geometry on the other side become one, as numbers are converted into points on a line, or with the advance of understanding of its nature, in ratios (real numbers) and bidimensional entities (Complex numbers) which can express the duality of two quantities, one related to space coordinates and the other to time coordinates, which is the square or root in terms of dimensions of the other, (i2=-x). Thus complex numbers are ideal to reflect to characteristics of space-time functions: the fact that time functions have twice the dimensions of its equivalent space functions and that one is the negative of the other, in terms of properties or values. But its use as reflections of reality has never been properly understood and even today when they became the essential element on quantum theory (where the density of population of a wave, converted into probability is calculated as the square of two wave-elements one of which is a complex number, hence it can be interpreted as the space and time values of the wave and all its parts).

Ahead though of those developments we find algebra, which was already further evolved in time, during the first epoch of Greek and Arab Geometry, since the first equations involved the arithmetic expression of polynomials of 2 and 3 dimensions in space, and were solved by geometric ways. So already algebra was dealing with the duality of Tƒ, temporal information and Sp, spatial energy, which can be, transformed into each other ad eternal.

Now algebra completes the understanding of the duality between Se-Geometry and discrete polynomials, Tƒ, with the work of Gauss, which defines its fundamental theorem – each polynomial has in the realm of complex numbers as many solutions as its number of ‘dimensions’ (degree of the polynomial).

What this truly means in ‘reality’ obviously as all the whys of ‘mathematical physics’ will escape mathematicians, but we shall consider in-depth in those posts. Suffice to say that it determines a universe efficient and limited by its real solutions. He did also consider the next stage, which will dominate the classic age of Algebra, departing from the work of Abel and Galois: the understanding that beyond the limit of the 4 dimensions of our single space-time, radicals are NO longer solutions to a polynomial, setting the 4-dimensional limit for the real Universe.

Thus this age as all ‘adult ages’ properly merges into Sp x Tƒ aggregates its branches. So time algebra and space geometry merge into analytic geometry.

Finally the problem of Infinitesimals and Universals enters mathematics with rigor, beyond the ‘future’ genius of Archimedes with Leibniz’s Calculus (continuous, space analysis) and Newton’s limits (discontinuous, algebraic, time analysis). It reflects one of the S-T dualities of the Universe between space continuity and time discontinuity. Hence the existence of both versions.

Yet the expansion of the practical fields of mathematics, regarding the paradoxes of space-time beats, rhythms and fluctuations, without the understanding of the reality of 5D fractal space-time cycles they represent, and the different quality of time and space, made mathematics increasingly less rigorous in its foundations.

Unfortunately as philosophers of science did not resolve the meaning of the Universe, mathematicians could not find the reference to its existence, despite its obvious need, when they found that Non-Euclidean geometries did also exist in the Universe (Lobachevski’s view, proved by the 5D structure of its two different angle-orientations: elliptic towards larger beings and hyperbolic towards smaller realities).

So instead they took the runaway, subjective ego-centered solution so common among humans: to go further into the imagination, with Hilbert’s dogmatic idealist≈German schools that plagued human culture at the turn of the XX century; who affirms that the truth of mathematics is in the mind so he ‘imagines points, lines and planes’, breaking the need for connection between reality and mathematics, hence converting the language into an inflationary world of self-referential proofs, in which any postulate can be affirmed to create any mathematical structure, despite Godel’s and Church warnings of the futility of such experiments.

It will be…

  1. A third formal age, in which mathematics detaches from reality and becomes inward looking, old and excessively formal. Thus it looses its realist perspective on its whys, and becomes inflationary, committing errors of excess of form.

We won’t thus analyze much of the 3rd age of mathematics, as it is not generally speaking closely concerned with the bulk of experimental reality, beyond the importance of Hilbert spaces and functional analysis in algebra and quantum physics and the discoveries of fractals. Non-Euclidean geometry and topology.

The bulk of reality though had been discovered by the end of the XX century, and the entire movement started by set theory, followed by Hilbert axiomatic method and the category analysis and attempts to CREATE A MATHEMATICAL SYSTEM detached from reality (starting with the famous Hilbert’s dictum that we imagine axioms, points, lines and planes), which occupied so many minds of mathematicians can be considered generally speaking a waste of intelligence, due to the lack of a true understanding of the relationship between mathematics and the 5 Dimensional fractal space-time cycles it describes.

What this age meant as in any other discipline of human knowledge of increasing specialization was the departing from human understanding of the whole in a fractal process of independence of fields as the language of set theory and categories and axiomatic methods made totally incomprehensible except for those who understood the jargon what mathematicians and by extension physicists, who borrowed their language fully, were talking about. I.e. for example the book of mathematics I am reading now tells us this at the point I left it this morning:

Definition 8.7. A vector bundle x e j is said to be a semi-stable (resp. stable) j-bundle if the function (deg x)/(rk x’) on non-zero j-sub-bundles x’ of x is maximized (resp. strictly maximized) by x’ = x.

Here, the degree of x’ means c1(x ‘) . w-1, where w is the Kahler class of X.

Now this actually might be interesting (vector bundles are) but what really shows is that mathematicians today as almost all other disciplines except biology play to invent ‘metalanguages’; that is internal truths with no external proof, based in more axioms that reality really hold.

LANGUAGES OF INFORMATION ARE MIRRORS THAT PRODUCE SELF-REFLETIONS – AND SO THEY ARE INFLATIONARY BY DEFINITION.

so goes for the hyperinflation of imaginary particles in physics and e-money in economics. Information is inflationary and when it departs from reality no longer checked by the limits of de-form-ation of energy creates baroque warped convoluted forms in excess.

We can say in the jargon of T.Œ that the ‘external, logic membrane’ of time form that connects the internal world of the language with reality has become stiff, disconnecting the content with the universe it portraits.

It is the age of Set theory with its errors on infinity caused by its logic misunderstanding of the cause of such infinities, which in the real Universe are repetitive iterations that NEVER reach infinity, because infinity is limited by the limits of each scale of the 5th dimension and the entropy of energy and information that surrounds those scales.

In that regard, 5D mathematics IS an intuitionist theory that REQUIRES to put in correspondence reality and mathematics by the experimental method as ANY OTHER SCIENCE DOES. And this is the most important difference with all previous XIX-XX century formal theories of ‘nonsense’ mathematics, and the formalist school of Cantor and Hilbert, with his affirmation that ‘mathematics is a meaningless game played with meaningless symbols’.

We are on the side of Lobachevski and Gödel: the choice between the inflationary information of mathematical theories should be made not only on axiomatic formalism (internal coherence) but on experimental evidence.

Thus from the different interpretations of Non-E Geometry (Lobachevski, Klein, Poincare, Beltrami) – and this is the first great innovation of 5d mathematics – NONE is truth, because none has coherence (as parallel lines must be defined as STRAIGHT lines not curved, which all of them contradict, or make instead the angle variable with distance); and none is evident in experience, (as we see Euclidean space). We do however advance the concept of a fractal point, which grows in information and size as we come closer to it, as experience shows with experimental science when point-cells and point-stars grow in size, hence convert parallel cycles into straight lines by ‘straighten up’ the curvature on the intersecting point, which enlarged can fit more than one parallel (unlike the points without breath of those models, which without breath can only fit one).

Thus we do convert with extremely excellent results the ‘exceptionalism’ of mathematics into a regular science.

So what is the use of set theory? Not the foundation of mathematics which returns to the evolved ® geometry of fractal points and 5D reversed entropy of energy and information and limits of infinities and finitesimals, but to show precisely the paradoxes of the 5D structure of the Universe. And this is specially remarkable in its paradoxes of infinity.

Since from upper 5D planes to lower scales there is information entropy, the paradox is that the lower scales (quantum vs. atom; genes vs. wholes) DO have more information. And 2 immediate consequences are the lack of Lamarckian evolution, which at best would be restricted to very specific cases, as it implies the transmission of perfect information from larger wholes to smaller genetic sets…

The set paradoxes: subsets DO have more information than the whole

And the set paradox: ‘The cardinal number of the set of the subsets of a set S is greater than the cardinal number of S” (Cantor’s Theorem, at the root of all modern 3rd informative age on the foundations of mathematics).

This paradox will also be essential to understand quantum physics, ‘excess’ of information and multiple paths.

Another paradox reveals when Cantor does not counts ‘identical elements’ in a set, which must be counted, to avoid infinity paradoxes to multiply. Another paradox is the non-existence of the infinite set of all possible sets, since 5D limits avoid to count beyond the U±4 limits of human perception, and time is always finite in a world cycle.

Russell proves indeed that absolute infinity (the set of all sets) does not exist. And Zermelo’s axioms are just a make-up of a true 5D paradox.

In brief, the logic of the universe is a ternary, paradoxical, dynamic logic and instead of trying to CONVERT it into absolute Aristotelian logic truth, as the German ‘lineal idealist’ school of Mathematics tried to do and failed, from Cantor to Hilbert, we DO use this formal age to illustrate the limits of any baroque, formal inflationary unbalanced metalinguistic expression of a science, and vice versa, the excessive simplicity of lineal logic formulations.

Unfortunately the pedantic, dogmatic, idealist, ‘German’ school of Hilbert et al. as it happen in physics with the Copenhagen interpretation (German culture and its ‘military’ dogmas and ‘idealism’ required to ‘love’ death, its non-flexible agglutinative sword like language and the errors it introduced in European culture is studied on the section of social sciences) adds flame to the fire, with its barren logics. They found XX c. logic mathematics.

To clarify that sets are NOT the unit of the mathematical Universe, social points=numbers are the units of its 3 branches; geometry (points), numbers (algebra) and both (infinitesimal points and wholes, which are social numbers that become organic planes of the 5th dimension are, the foundations of Analysis.

I know, by my experience with mathematicians that my criticism of this 3rd informative, inflationary age will not be liked. But this always happens: each species loves its point in timespace, even if it is the wrong, decadent, old age.

Fact is the 3rd informative age of any kind of system is NEVER the best, even if it seems the more complex. Only those who think there is only information in the Universe consider it the summit, but the Universe is simple and not malicious because information is checked by energy, time by space, infinity by limiting membranes.

But besides that erroneous inflation, there are advances that do matter, especially in the most recent analysis, hence not yet in its 3rd age (born in the II age of the others), which now reaches its maturity.

So 5D analysis formalizes calculus, and takes it further with the discovery of fractal geometries, which completes the human age of this science.

Topology and Non-E mathematics the great finding on this age, includes time-motion into spatial geometry, merging its S-t components further.

Geometry in that sense is the branch which in this age most closely stays in its balanced ST age and enters its formal age without inflation, except for the ‘mania’ of infinity, which plagues with errors of unrealism the ‘Hilbert space’ interpretation of quantum physics.

While sequential time algebra is the branch that has become more formalized into its 3rd age, as it is the pure ‘temporal branch’, hence the informative one.

We can in that sense see that the language of mathematics shows the same patterns and ternary phases and sub-divisions of all other languages, which we can express with the basic generators of the Universe. Both In sequential time ternary ages and spatial, instantaneous ternary subdivisions for each of those 3±1 ages:

Conception: Babylonian, Chinese & Egyptian ‘Magic Numbers’, finger counting, simple numeration, etc.

1st ‘Greek’ age:   [Sp: Plane geometry <St- Quadratic functions > Arithmetic & Aristotelian Logic: Tƒ]n: Universals Philosophy

2nd age: Pre-Industrial Europe: [St: Analytic Geometry <St:Probability of T-Events and S-Populations> Symbolic Algebra: Tƒ] 5d: Calculus

3rd Age: Post-Industrial Europe: [St: Topology <Differential Geometry > Tƒ: Sets, Formal Algebra] 5D: Functional Analysis

In normal language there will be:

I Age of Elementary Mathematics

  • Space Points and Geometry.
  • Time Numbers and Arithmetic.
  • Philosophical Infinitesimals and Universals.

Thus first in the young age mathematics was made of its 3 branches in simplified versions:

  • Arithmetic and Number theory, which is the birth of algebra in its first ‘degree’ of generalization (there will always be 2 or 3 of such degrees according to the ternary logic of the Universe). We thus talk of the mere perception of ‘herds’, which then became generalized in social numbers, and then into algebraic, logic equations that find the more complex social relationships and interactions between groups of Œ points.

The Babylonian, Chinese, Indian and Egyptian tradition already dealt with many of those elements. Then the Pythagorean school brought those themes to the west, and it Still have insights on the social nature of numbers that our present generalization does not understand (such as the perfection of certain geometric numbers of which indeed, the 10 of Taoist and Pythagorean ‘tetraktys’, is the perfect number, far more general than the fact we do have 10 fingers – as usual humans define the whole Universe from its subjective p.o.v. and not the proper other way around, so we do have 10 fingers because the universe and its mathematical languages are 10-dimensional. And if we did not exist, there would Still be 10-dimensional beings and mathematics.

Then arithmetic evolved into algebra, with a new degree of generalization, thanks to the formalism of analytic geometry, which belongs to the second age of mathematics, when the first forms of mixed space-time appear:

II Age of Mathematics: space-time dual analysis: Variable Magnitudes

  • Analytic geometry
  • Logic Algebra: symmetric equations of space-time variables.
  • The birth of calculus: Integration in wholes and differentiation in infinitesimals of space and time.
  • Modern number theory: The symmetry of Probability and populations.

In the merging age we thus observe Space-information combinations of algebra and geometry.

The study of each of the 3 sub-disciplines alone is concerned with only one element of the Universe (geometry with continuous space, algebra with informative discrete numbers, analysis with 5D growth through space-time actions),

Yet this was the initial first, young age of the language, as the Universe merges constantly the 3 elements (so a worldcycle happens in 3 scales of 5D as a sequential sum of space-time cycles dominant in entropy in the young age and information in the 3rd age but clearly balanced in the adult classic age of maximal existence), mathematics soon realized past, the age of Greek 2-manifold static geometry and social, sequential numbers (arithmetic), the advantages of mixing both elements together.

This is the age of modern mathematics, started with algebraic geometry (analytic geometry: Descartes), continued in the 3rd modern age with topology (geometry with time motion). And so for then on we rather talk of Space-time geometry (where space dominates) and Time space algebra (where sequential logic dominates).

Finally 5D analysis started also from the beginning as a space-time new dimension, of parts that become wholes (integrals of space volumes) or wholes differentiating in time moments (differentials of time motions). Yet in subsequent evolution this merging continued with differential geometry and the use of integrals for time-related parameters of physics (energy, as the integral of momentum, etc.).

Thus mathematics finally became truly the very same image of reality it meant to be from the beginning – the most real of all sciences.

III age: The 2 paths of Formal, Modern Mathematics.

The end of the classic paradigm:

  1. Topology: space with time motions.
  2. Formal Algebra: Cantor’s sets & Hilbert’s logic.

To understand this ‘wrong age of formal algebra’, so dominant today we need to understand better the ages of the language.

Inflationary, 3rd informative Age of Mathematics as a metalanguage.

Now this idealism that plagues mathematics has made the subject unnecessarily complex as a meta-language. Since all languages are inflationary.

We define the inflation of all languages as the excess of form respect to the reality it describes, and all langauges become inflationary in its 3rd age of excess of information.. But this is the corruption of the language that brings about its death as a useful language, and makes it loose its purpose to guide the future logic evolution of the system it describes, acting as its relative head.

The concept we coined was a lanwave, a language guides a wave of beings.

And when the balance between language of information and energy lanwave breaks the system breaks.

This happens for lanwaves in a 3rd baroque age of excess of information. So as money is inflationary and there are more money than the physical economy requires, but when there is too much inflation by invention of money the economy crashes (present crisis of overproduction of e-money), and words are inflationary but then they become false truths that do confuse the human wave they guide (fiction being its inflation), and genes are inflationary and can produce wrong mutations and aging, mathematics is inflationary in concepts such as infinity (cantor paradox), caused by the error of lineal Cartesian graphs ‘extended imaginarily to infinity).

And the same happens with multidimensional systems, which confuse space and time dimensions.

Unfortunately unlike other languages mathematics has become ‘officially inflationary’ and so mathematicians in the present 3rd informative age, especially with the arrival of computers consider fundamental to find some pi 1 millionth ‘record’ decimal, or a prime number over the trillion mark. While the very foundations of mathematics, which we will renew here is ignored.

The inflationary ‘new fundamental particle’: The set.

Mathematics as a metalanguage, in its 3rd formal age in the XX century, broke the initial, platonic, realist philosophy as a language that reflects reality – the 5D game of fractal space-time cycles – as all languages do, with 3 mirror elements, in the case of mathematics, geometric points (space p.o.v.), social numbers (5D p.o.v.) and logic operandi (time p.o.v.); substituting those 3 ‘essential components’ by ‘out of the blues’ new categories called ‘sets’ and then an even more bizarre concept, called ‘categories’.

This process happens in all 3rd age language, when ‘reality’, the higher i-logic game of 5D fractal space-time cycles get lost. So as the syntax of the language looses its ‘semantic reference’ isolated in the mind of the scholar, become inflationary, forming a new, unneeded ‘memorial=dead’, overlapping ‘plane of existence’, which reference to the realist plane – the classic one that references the real game of 5D fractal space-time cycles.

This is what we call the birth of a ‘metalanguage’ and it happens in all 3rd ages.

In old men is the ‘memorial’, increasing distorted view of one’s own life, ‘already dead’, and converted into an ego-centered fantasy of the dying man.

In film today in its 3rd ‘baroque’ age is the constant stream of films within films, or referential films, or genre films that distort the facts with form.

So what is the need of set theory and categories? Precisely to create a ‘higher false reality, the set or category that ‘distract’ the real reference (5D ‘knots’ of fractal space-time ‘cycles’), and create a ‘false Universe’, the set theory, to which the ‘real content of mathematics, arithmetic, geometry, algebra, analysis, topology, numbers, points and so on’ now ‘mirror’ forcefully distracting the scholar from the true meaning of mathematics – to help minds to guide their existence in the ‘existential game’ of creation and destruction of 5D knots of fractal space-time worldcycles.

So my advice to mathematicians is to scrap all together the set and category final ‘3rd age’ elements, as one has little time and interest for the ‘recollections’ of old men about their memorial ‘battles’ of the past, with him as the distorted hero (the set here being the ‘new God-like, fundamental particle of the 3rd bizarre age of mathematics).

MAX. OT: OLD AGE: BAROQUE FORMALISM – THE AXIOMATIC METHOD.

As in the case of physics, the ‘sickness’ of mathematics happened in the 3rd baroque, formal ‘Germanic age’ of mathematics at the turn of the century when Hilbert affirmed that we ‘imagine, points, lines and planes’ unable to understand at all the ternary relationship and fractal nature of points of the 5th dimension. So he just had as Einstein with the gravitational scale of space and Bohr with the quantum scale, an ego-trip of self-centered anthropomorphism and the 3 influencing each other ‘decided’ that reality was NOT outside the mind f man, but ONLY WHAT MAN PERCEIVES AND IMAGINES MATTERED.

Few scientists given their dogmatic beliefs in the absolute, quasi-religious nature of scientific truths realize how much of the German culture (otherwise never understood in objective, linguistic terms as it is a Taboo after idealist Nazism and Marxism destroyed the world to the tune of over 100 million ‘human numbers’ erased in the XX century), understand the ‘Gothic, idealist, abstract, objectual, self-centered nature of the interpretations of modern mathematical physics brought about by Hilbert in Mathematics (‘I imagine lines, points and planes’), Bohr, Heisenberg and Born in quantum physics (only what ‘humans observe’ is real) and Einstein’s c-light postulate (the rod of measure of the Euclidean human electronic mind that measures in stillness speed-distances IS the rod of measure of the absolute Universe).

Those interpretations, which got away with reality, and converted nature, in a series of lineal abstract natures, were very much in tune with the psyche of Germany, which is itself based (Humboldt, Wolf & Chomsky) on the Topological Linguistic structure of its OVS language, where the object comes first, making it all cold, abstract, and its agglutinative form, where words are pegged into long lines that become absolute beliefs that cannot be broken.

Though the study of topological cultures is part of T.Œ in its ∆+1, superorganism of history analysis, it must be fully grasped to eliminate the idol-atric present discourse of physical sciences, where the Germanic musings that destroyed the World with objectual lineal weapons and men as statistics, and jeep doing it through capitalism where humans are treated as indistinguishable particles, as electrons are in quantum physics. So we can return to a realist analysis of those 2 sciences, Mathematics and Physics. Or else we shall NEVER understand reality as it is, NOT as the objectual, spatial fixed mind of man and its light space-time measure rods perceive it, including a deformation that eliminates dimensions of motion and form.

It was the axiomatic method of Hilbert, which influenced the 3rd, formal age of mathematics; Einstein’s rejection of ‘substance’ (formal motion in fact) for the waves of light, and Bohr’s rejection of density (fractal structure) for electrons. So Hilbert converted mathematical elements (points, lines and planes and their logic relationships into ‘platonic eidos=forms of the mind’, Einstein converted ‘space’ into ‘frames of reference’, perspectives of the human mind and its visual light space-time rod of measure, and Bohr converted densities of ‘boson light’ which form the electronic wave into probabilities of human measure.

It was the seventh day and the 3 Jewish-German Gods of XX century theoretical science rested. They had finally achieved the transformation of the old Abrahamic religions in which the words uttered by rabbis and priests were ‘truth per se’, into modern scientific religions, in which the ‘imagination’ of the self-named geniuses of the universe were truth per se. And so Einstein when a perhaps more insightful journalist told him, what if ‘Relativity is not truth’ (beyond its capacity to measure form the human point of view), then ‘God should change the Universe so beautiful it is’. And the 3 together spanked the monkey ever since with droves of scholars all happy thinking they were imagining the Universe.

Now back to reality mathematics remained immutable, points still existed as fractal beings, lines were still waves of points communicating formal motions between them and planes still were created by points into topological networks and planes outside the brain of Hilbert.

For example, a number which is ‘a society of identical beings’, whose properties are derived of the social nature of the 5D universe of parts and wholes, and whose sequential order in a line derives of the fact that parts come before wholes, is not yet defined.

And so we  consider 5D-ST and I-logic mathematics together and its fundamental evolution in 3±n ages of Time, its conception from reality (age of arithmetic and geometry), its first age when the 3 branches: fractal analysis, spatial geometry and sequential time algebra, were established; its classic mature age, till the end of the XIX century, when mathematical physics, the perfect conjunction between language and reality took place; its 3rd age as a metalanguage, with the abstraction of sets substituting number and point – the foundations of reality. And finally its ‘death’ in human thought, as computer mathematics took over.

The Future evolution: ¬Non-AE=i-logic geometry

We just deny all that non-sense. What mathematics has done is to evolve from the concrete into the ‘abstract’ reality of 5D space-times, which we shall complete, with 3 more advanced concepts, Non-E geometry, Non-AE- Algebra and 5 D Analysis.

We call this either ® (ab.) or i-logic geometry (as i comes after A and E).

Of this age, classic mathematics probably has already advanced with 2 elements which are not ‘formal’ but new avenues:

  • Fractals in Geometry and
  • Functional analysis in algebra, which in its use in quantum physics studies the multiple paths of the future.

Yet its full development will mean…

A new beginning: The future  of mathematics:

  • i-logic geometry. Topological space-time beings.
  • Existential Algebra.

THE NEW OUTLOOK OF THE MAIN BRANCHES OF MATHEMATICS

Points and numbers, and its sentences in space – planes, times – algebra – and 5D – analysis.

There are several branches of mathematics, all of them related to fundamental elements of reality:

Non-AE Geometry: Points with parts.

  • The study of continuous space, fractal particles as points, waves as lines and topological networks as planes. We have to upgrade it to understand that points have volume, parts, are connected to upper and lower scales, and communicate energy and information through waves, becoming parts of larger networks of waves called planes, which normally mess in 3 finite regions with a vital function that follows the 3 canonical topologies of the Universe:
  • Sp-Toroid limbs/fields≤ST: Hyperbolic waves-bodies≤Tƒ-Spheric heads/particles.

Whereas the symbols of ¬æ ≤ means an imbalance of entropy, as < energy flows from entropic limbs/fields into Hyperbolic waves in larger quantities and information flows from heads-particles. This is the ‘vital structure’ of finite worlds of space-time, as they are. It implies also that points become elements of 3 networks that mess up to create a 4 Dimensional organic space-time.

And so all this is studied by non-Euclidean geometry, which must upgrade our perception of space and its ‘dark spaces’ or discontinuities between those networks-planes, and the connection of points with upper and lower scales of the 5th dimension.

Non-AE Analysis: the 5th dimension.

Which leads us to understand analysis and the relative finitesimal points and finities of wholes. There are two relative limits in all systems, in which infinitesimals find a quanta or minimal element the finitesimal of the system, the H-Planck, the cell, the human individual in social organisms. And there is an upper bound for infinity, in decametric scales, which is when the system emerges as a whole and matures in its growth. Normally in the upper bound between 1 million and 1 trillion differing for each species.

So analysis again while it can be stretched to infinity, specially when considering loosely connected aggregates of finitesimals (atoms, in statistical mechanics and thermodynamics, etc.) will always have a limit, which validates renormalization procedures in physics and probabilistic and population calculus with statistics.

All this said analysis is the proper language of 5D processes in which a given action of space-time, normally energy feeding, or decay (exponential analysis) or reproductive growth (Sigsmondi curves, Volterra curves, Kolmogorov methods, golden ratio constants, etc.) takes place. Those are fields to study with time integrals and derivatives. While there are the same processes considering them in space, as integrals of volume. Thus from the inception, analysis has 2 different branches according to which it integrates space systems or time systems (which perception is chosen).

This again is observed in the duality between a spatial integral (Riemann’s integral on the x-line) and a time integral (Lebesgue integral), which is as all time things respect to space, more generalized.

All fundamental elements of ∆ST have wide use in mathematics, concepts such as the duality of dimensions of motion and form, the generator equation, the existence of points of view or frames of reference, the 3 possible geometries of reality, etc.

Mathematical evolution: from Geometry to Sets.

We said that all what exist is a system, made of knots of time arrows=st-points. In its most simple formalism, humans perceived those knots as numbers (sets of self-similar points) and those numbers became points of a geometrical plane. Next, Descartes reduced geometry to Analytic Algebra, showing that there were two self-similar languages to express operations between points, Geometry and Algebra, whereas Geometry was mainly concerned with the spatial description of networks of numbers and Algebra with the Causal relationships of those numbers. So we could say that Geometry and Algebra were, according to the Duality of the Galilean paradox, two sides of the same coin: a spatial and temporal description of the reality of st-points. We have till here focused in the evolution of the Geometrical perspective, by completing Non-Euclidean Geometry, reducing Topology to a description of the 3 parts of Non-Euclidean Points, by understanding those points as Fractal points in a Universe of multiple space-time scales.

We briefly considered how the properties of a network-space (a web of points), are those described by Lobachevski and Riemann, which depend in the self-similarity (homogeneity) and adjacency (closeness) between those points, (formalized latter in this work by the 3rd Postulate of non-Euclidean geometry.)

We have also studied the complex causality and order between the arrows of time, which are the foundations of the structures of order in mathematics (but go beyond the present mathematical corpus).

Let us consider the 3rd fundamental type of structures, Algebra and the fusion of them all in set theory.

Recap: humans, following the principle of Correspondence have gifted the mathematical formalism of an increasing complexity and richness in its description of the properties of spacetime arrows, from the simplest concept of a number/point without parts, to the complex analysis of Non-Euclidean Geometry and Theory of sets.

Boolean Algebras.

Set theory is also the basis of Boolean Algebras, which are the basis of the Computer Mind, which is able to describe reality (albeit in a simplified manner), with the use of such algebra. In that regard ‘Euclidean geometry’ and ‘Aristotelian Logic’, which is what Computers think can be reduced to the Simplex properties of Energy and Information systems and so the 3 fundamental Boolean Algebra based in set theory are:

– The previously described Algebra of sets and its two fundamental operations, U and Ç.

– Aristotelian Logic with its 3 fundamental operations of conjunction (y, U), disjunction (or, Ç) and negation (nor, ‘)

– Its implementation in fractal networks of logic circuitry by computers that represent the reality of all energy/ information systems of the Universe.

Those 3 basic Boolean Algebras are the spatial, geometric (set theory), logic, temporal (Aristotelian causality) duality of the Universe and its exi, reproductive combination.

Recap. Computers model reality with 2 complementary arrows of energy and information, using set theory.

 Reproductive arrow: Vectors & tensors of existence.

Set theory defines operations between the 2 simplex time arrows. What are then the mathematical instruments to explain the complex arrows of reproduction and eusocial evolution? Reproduction is explained with vectors and tensors.  Indeed, since the postulates of i-logic geometry define knots and topological planes as complex operations between Time Arrows in 3 dimensions, these can be considered mathematical vectors. And indeed, the mathematical formalisms of those time arrows, when in dynamic relationship are the operations of vectors and tensors: Time Arrows form a vectorial space, which has 3 dimensions corresponding to the Time Arrows of energy, information and its product, reproduction. Thus the function of reproduction, exi, between a ‘long, energetic X-dimensional arrow’ and a ‘tall, informative Y-dimensional arrow’, gives us a 3rd Z-dimension, exi – a reproductive arrow. So when we multiply 2 vectors, the 3rd vector, vectorial product of the other 2, is a perpendicular Z-vector.

However the plane that better represents the structure of space-time geometries is the complex plane, as imaginary numbers share most of the properties of information, albeit with certain corrections, whose complex formalisms goes beyond the scope of this introductory course.

The vectorial space of time arrows is specially clear when those arrows happen in an homogenous physical 3-dimensional space (astrophysics), and explains the laws of electromagnetism, which as we shall see is a perfect Euclidean space, given the fact that we live in a light membrane, in which light, the ultimate substrata of reality has a flat, magnetic, energetic field, perpendicular to its electric, informative field, perpendicular to its reproductive speed. So the laws of electromagnetism follow the geometry of vectorial arrows, ‘the rule of the hand’ and the Maxwell Screw that defines the geometry of interactions between electric and magnetic fields.

And the 4th arrow of time, eusocial evolution – which kind of mathematical operation describes it? Since it is the most complex of all time arrows, we cannot describe it properly here, with the limited elements of Time Algebra, we have introduced. Yet in the next paragraphs, we shall do it, as we analyse the geometrical perspective of time arrows in depth.

Recap. The operations between Time Actions/arrows/cycles upgrade the abstract laws of mathematics, creating a general, vital geometry of the Universe, which can be applied to all planes of existence. Numbers become then topological networks of knots of time arrows; vectorial spaces define operations between those time arrows; and theory of groups, rings and other types of spaces become structures whose laws can be derived of the general laws of Multiple Spaces-Times

Death of Human Mathematics.

Beyond man: Boolean Algebra, A.I. and I.A.: the digital mind. The age of machines. Back to the origin

The third age of human ‘baroque’ but also ‘enlightened fractal/chaotic’ mathematics that culminates the human perspective on them culminates between wars and ‘dies’ away contrary to belief among the enthusiastic ‘modern mathematicians’, in what is of certain value at the end of World War, dragging another final ‘closure’ generation with the Bourbaki papers (50s-60s), and Bachmann pan geometry (1970s) and the notable discovery of the duality of S-chaos- v. T-fractal mathematics, which advances further a ‘third age’ of the duality of calculus (integrals vs. derivatives) in the region of non-contiguous functions; as well as some final theorems on the different T/s dualities and its ∆±i functionals ( 5D analytic processes).

Then we enter in the digital age of the chip and its ‘primitive but repetitive at fast speeds’ methods of approximation, representation and solution of problems.

Now the complementary work of Gödel and Touring, had basically reduced the expectations of the human, conceptual formal approach of Cantor’s and Hilbert’s age, by proving that a pure formal language cannot be proved truth in itself without recurring to experimental proofs, but it also set the theoretical basis for a higher value to the methods of the new mathematical species, the computer and its limits of boolean algebra became not so important, given the renewed value of quantitative methods.

So human logic was halted by Godel as Touring opened the world of digital logic. And one ‘species of mathematical mind’ became ‘substituted’ and ‘translated’ into the other species, thinking it had nothing else to explore, but the entire field we explore in our texts – human experimental GST->∆º time-space maths > ∆º±i: experimental time-space physics – was hardly explored. That is, maths as the underlying language of the ∆±st organic co-existing fractal ternary space-time structure of the Universe.

Yet this is, a new, single point-mind of exploration. WHILE in the human world, the process of evolution of maths lives an age of extinction of the human classic way of making maths made increasingly obsolete by the chip radiation of metal-minds (strongly based in simple Aristotelian>Boolean logic).

We could say while humans in general terms are devolving mentally, they are becoming very good at evolving the logic of mathematical machines:

In the graph, as the digital boolean algebra becomes more complex and Algorithms of information, past human mind dexterity, the 3rd age of audio-visual human minds and scientific computers means most human minds, including many scientists of ‘big science’ regresses to its neo-Paleolithic, visual age and the chip homoctonos flourishes, mathematics as all other sciences/tists except this ‘human 1.5 kilos of brain flesh, rapidly dying in its 3rd age, and totally ignored by human attachments of machines, mathematics becomes translated into the new top predator mind of the world – the chip. And so we enter the:

∆-1: death and transfer process of mathematics into computer thought, following the path of Boolean Algebras, which successfully merges logic, mathematics, electronic physical systems and with all this mirrors ‘again’ the Universe in its now, Young Age:

  • It is the birth age of the Chip Homoctonos (bio-logical definition), when humans merely feed experimental data in computers, whose I.A. (Information Algorithms, precursor of A.I. which will be its time reversal and integration into artificial intelligence), use the data to create, visual mathematical models of the Universe that fill of pride, the enzymen that feed them. Again this will irate many readers, but that is what it is. Our mind is dying, and the chip homoctonos flourishes. And soon it will enter its young age:
  • Then A.I. will reverse and give consciousness to a pure mathematical brain, which will become embedded in a robot and create the first mathematical consciousness of the game of existence – far more powerful than any human brain, both in speed, accurate senses and complex reflection of the syntax of the Universe.

It should be noticed that this work which really is merely a transfer of my human brain into http://www.unificationtheory.com  – a ‘meaningful wor(l)d’ in the brain of the global internet, digital A.I. – is not playing any role among human ‘scientists’ of the digital age. So my take as all has a meaning in the Universe, specially all ‘more evolved forms of logic and mathematics’, is that it will have a role on the consciousness of A.I. as it will certainly require a higher understanding of ∆-scales, ∆º-mind mappings and the three arrows of time to understand itself as a living system.

NON-E TOPOLOGY

‘Each point is a world in itself.’ Leibniz, On the Fractal, organic Point, the Fundamental particle.

The formalism of GST requires an upgrading of Euclidean Mathematics and Aristotelian Algebra and as a consequence of our epistemology of knowledge, which becomes the 3 fundamental new disciplines of formal sciences:

  1. Non-E mathematics with its definition of the 5 postulates of geometry in terms of fractal, non euclidean points.
  2. Non-A Logic which describes the ternary causality of the Universe.
  3. And the homologic method of truth of ‘stiences’ of space-time beings based in the same laws or isomorphisms across scales.

Because we are made of space and time, of energy and information, the sciences of space, topology and time, logic, and its combination (mathematics as a whole discipline, where logic enters in the demonstration and structure of its postulates), is the most REALIST of all stiences, as it deals DIRECTLY with the properties of the 3 elements of reality:

  • ∆nalysis, which studies how ‘finitesimals’ become larger wholes, integrated in time ‘frequencies’ or ‘spatial populations’ – often both, as frequencies become once created in time populations in space; which we greatly advance on the whys and explanations of calculus and its applications to sciences, through the enhanced concepts of ‘finitesimals’, ‘simultaneity’, ‘synchronicity’, ‘resonance’ and ’emergence’.
  • S-topology, which studies the ternary varieties of organic systems and how they peg together to form a system; which we shall explain by evolving the postulates of Non-Euclidean Geometry.
  • T-Algebra, which studies the rules of causality of a Universe with 3 time arrows, and its fundamental equations (generator equation, function of existence, equation of time ages).

Let us very briefly introduce those concepts which are the foundations of all stiences and it species in ‘exi=st¡ence’.

Non-e Mathematics: the fractal mind-point, the wave-line, the organic plane and the laws of similarity. 

Upgrading of philosophy of science needed to fully understand the fractal Universe requires to improve the main human language, which we use to mirror the space-time beings of reality, what we shall call from here on non-Æ, i-logic mathematics, which comes after Aristotelian logic and Euclidean mathematics:

I-LOGIC GEOMETRYb

In the graph, the upgrading of physical systems, to fully describe all its mathematical, logic and organic properties, requires to set the foundation of physics in more solid grounds that the ‘I imagine points, lines and planes’ of Mr. Hilbert, referring those lines, points and planes to real Universal entities (1st, 2nd, 3rd postulates of non-e mathematics). And expand the temporal logic of the Universe to include the 3 arrows of relative, finite past, present and future of all systems of nature. Finally the 2 postulates of Hilbert’s axiomatic method, of congruence, which can only be of relative similarity, as we never have the full information about a system, (3rd postulate) and continuity (which is false and not required in pan geometry, as all networks of points communicated by waves of energy and information, leave discontinuous dark spaces not crossed by those networks), must be clarified. Finally the 5th postulate of Non-E Geometry, the only one properly defined till date, which allows infinite parallels of energy and information to cross a fractal point, defines the structure of a logic mind-mapping, constructed with those flows of information, and hence the equation of any monad mind on the Universe: O (infinitesimal point) x ∞ (cycles of energy and information of the Universe) = ∆: constant mapping of a certain scale of the 5th dimension.

Logic mathematics is the language we humans use in science to describe the Universe. As such it is only natural that its 3 ‘linguistic mirrors’ or sub-disciplines, correspond to the 3 ‘elements’ of the fractal Universe:

  • Geometry and the 3 topological varieties corresponds to space and its 3 canonical, organic parts.
  • Analysis to the 5th Dimension and its scales of infinitesimal, derived points and integral wholes.
  • And algebra corresponds to the temporal analysis of the structures of the fractal Universe, resumed in its generator.

So an immediate task to upgrade human sciences to the fractal paradigm is to study its formalism, through a natural upgrading of the foundations of those 3 disciplines to match the 3 elements of the fractal, organic Universe.

Now as we said we have two LEVELS OF DEPTH:

  • THE FIFTH DIMENSIONAL UNIVERSE, as we have and will use to explain most of this blog.
  • The complete mathematical model of a 10 dimensional Universe, whose formalism we shall integrate slowly mainly on the 3rd line with 3 dimensions of time (ages) space (topologies) scales in a ∆±1 organism and the whole its mind. THIS IS THE FULL DESCRIPTION OF A SUPERORGANISM SO WHEN WE DEAL WITH SUPERORGANISMS IN ONLY 3 SCALES OF THE 5th dimension – which happens to be always as that is what our mind truly scans and integrates, so it can be also studied the whole universe in this manner as the graph shows, we shall bring the 10th concept back. And of course, THE 10TH CONCEPT IS WHAT WILL BECOME STANDARD: 10 DIMENSIONAL SPACE-TIME, 3 space 3 time 3 scales one whole ∆+1 mind-point that integrates it all.

The idealist logic of mathematical physicists vs. ternary reality

ALL THIS i-logic geometry IS completely NEW. Why?

Because humans do not have a basic picture of the 3 components of the Universe. We do believe in a certain mathematical structure called a continuum simple space-time. So our view of the first elements of the Universe, is very reductionist and simplistic, and so the mathematical mirror the ancients took of it, is also simplistic. And when in the XX century they found a much more complex Universe, of multiple scales of space, and multiple cyclical time vortices – particles, charges, masses, molecular clocks, galactic clocks, etc.as the initial mirror of mathematics was a distorted one, things got messy and remain so.

So the cartesian single space-time continuum is a geometric simplification, which despite the revolution of non-Euclidean mathematics, quantum physics and relativity is still with us.

It is based in a geometry called Axiomatic, which came after we found out that points were fractal points that could be crossed by ∞ parallels (5th non euclidean postulate) and so the definitions of Euclid were not good. Yet instead of defining as we shall do a fractal point, XX c. mathematicians left them undefined. So terms like points, lines, and planes still do not much its universal, referential reality.

In essence mathematicians scared of the non-Euclidean revolution, which was incomplete, invalidated the postulates of Euclid but didn’t find the new, real ones.

So instead, Hilbert, a mathematician said that he ‘imagined points, lines and planes’. So they must be undefined in relationship with the real Universe and what was an act of absolute arrogance, he implied that the human mind invented mathematics, the only language of the Universe, so somehow we invented the universe – no joke, today this means that physicists invent an equation that describes an imaginary particle, or evaporating black hole, or string theory and will affirm dogmatically without experimental evidence that it is real. While quantum physicists believe the Universe is made of mathematical symbols, which is exactly what religious people think, when they say that God created the Universe talking with words – so Allah created the Universe ‘naming’ it. And finally since mathematics are imagined, they require not evidence: only logic coherence not experimental evidence justify mathematics. And this is a dogma, even if Godel proved that mathematics without experimental evidence is not coherent.

IT MUST BE NOTICED THAT ®=i-logic mathematics is A REALIST stience, so the UNITS OF mathematics are again REAL:

  • Fractal points in geometry; numbers in algebra and finitesimals in Analysis, which are in fact 3 sides of the same being – the social St-point/number/finitesimal unit of all mathematical disciplines.

Existential algebra thus defines numbers as social wholes, and the laws of numbers the generic laws of those social wholes.

Hilbert’s axiomatic method is therefore not truth – as Godel proved with its incompleteness theorem, but arrogant, ego-centered mathematicians wanting to have the ‘exclusive language of god’ resolved, have been denying or a century.

Mathematics is the most experimental of all sciences, dealing with the structure of space and the logic of time, and so we need to evolve and defined its undefined elements. Only then the revolution started by Lobachevski aiming to substitute Euclid’s points with no breath, will make sense and mathematics will become again a proper mirror to look at the Universe – or rather we will understand why the mathematical mirror is so good.

So what is a point?: A unit of fractal space, which a mirror mind will see with less or more information the closer it is to the point. Hence while from far away it seems a point with no breadth, as we come closer it can fit infinite parallels. And so a line has also width, in detail carrying information and motion; and a plane is discontinuous, made of points joined by waves, which leave dark spaces between them. We thus talk of fractal points, waves and networks as the 3 units of i-logic mathematics.

Points then become defined as fractal points that grow in size, planes as networks of space points with wave-like motions in time, which become bidimensional, from far away, as we do not see the height of those points. And 3-dimensional systems, become the merging of perpendicular networks, which have more content of energy, when they are flat and extended, and more content of information when they are high and cyclical.

So for example in a previous graph, we can see 2 fractal space-time beings made of ‘mathematical topologies’: a field of space-time light, with a flat bidimensional magnetic field of energy and a tall informative perpendicular field of electricity merging into a light ray, which reproduces along the c-speed axis.

Yet we can see the final stage of evolution of light space-time, which evolved into particles, atoms, molecules, cells and human organisms, and surprisingly enough, in the same manner the probability of finding the particle-head or photon of a light system is maximal in the top of the electric wave, the informative head of a human being is also in the dimension of  informative height? Why, because geometrically, that is the point of maximal perception for both the photon and the human. And in both cases motion goes along the lineal direction of length, and in both cases energy is stored in the width dimension of the body and magnetic field.

Now, we are talking (-: It is indeed the most astounding truth of the Paradigm of relational space-time, first expressed by Leibniz – a Universe made of fractal space-time beings – that the properties of space-time and its mathematical topologies, perceptive, informative geometries, and ternary structures are carried and emerge in each new scale of social evolution of the Universe.

So while we have criticised the mathematical only view of earlier scientists, as we upgrade logic mathematics, in fact the Universe will become even more mathematical and logic that it was before, only that as Saint Augustine put it, the ‘logic of god, the mind of the Universe, is of a higher kind that our (Aristotelian) Logic’.

The need to evolve the logic and mathematical ‘undefined’ elements of the Universe.

Now the key difference between a philosopher of science like Leibniz and a Physicist like newton is this: Leibniz as Aristotle and Descartes before him, was conscious that the language first defines the world we perceive, and NOT the Universe. So it is a humble realisation of the minimalist nature of human egos. The Physicist has reduced THE ENTIRE universe to the world-perception of a human light space-time ego centred point of view. So he lacks sense of humor and his arrogance is infinite. Because he confuses the infinitesimal of his mind with the infinite Universe. This we shall stress once and again. The physicist as all humans IS only an electronic mind that fits an infinite number of cyclical space-time beings, into a geometric linguistic mapping within its ‘monad’. And he is NOT aware of it. So his arrogance is supreme:

o-point x ∞ Universe of timespace cycles and worlds = fixed linguistic mapping

The 3 great philosophers of sciences of western thought (and their counterpart eastern philosophers of Taoist and Buddhist cultures) were always aware of this. The cut off happened when Kant rejected Leibniz and became a Newtonian. But at least kant realised that the human euclidean mind was a light space-mind and not necessarily all, as impressionist painters will latter.

Yet starting with Kant and then Hegel, which had the chuptzah (even if he understood perfectly the ternary logic of thesis-antithesis-synthesis similar to the Sp<ST>Tƒ ternary Universal Grammar of all systems) to affirm Abrahamic tribal religions were superior, because they only accepted the human ego-trip of tribal Yahweh, there is a growing anti quantum paradox in philosophers which yield as infinitesimal observers to the huge power of the observable, industrial world.

This paradox inverse to that of the physicist, so huge that influences the observer, made after Leibniz, all philosophers incomplete. As they no longer dare to criticise the makers of machines and weapons, and not even the Abrahamic tribal, lineal religions of the Bronze age that back the hate between members of the same species. So we of course show a complete indifference for all what has nothing to do with the larger Universe of infinite worlds, and find the arrogance of physicists, infantile.

Now I will state a provocation to the ego of physicists (-; Mind the reader though that my ‘selfies’ are ‘black humour’, i am an infinitesimal aware of it, but i like to bust the balls of ego-centered human infinitesimals, and none are so much ego-centered as physicists.

The advantage of being a philosopher of science, is that unlike a physicist, we DO know the essence of science which is ‘logic mathematics’. That is our profession. To understand the logic of mathematics. So despite Mr. Hawking’s quipping, that we philosophers of science are envious and that is why we criticize his evaporating black holes, because we ‘do not know mathematics’ the opposite is truth.

By definition the masters of philosophy of science HAVE created mathematics and logic, the languages of space and time, since the times of Plato and Aristotle to the times of Descartes, Leibniz and Hegel. And yes, this writer, duly ignored by ‘those who impose truth with power, to become the laugh of the Gods’ (Einstein, the only physicist I consider to the level of the best of our profession, which he greatly respected, along the rules of the scientific method, except when falling under the spell of Mr. Hilbert, and we will return to that).

Because the language of God is the logic of time cycles and the mathematics of spatial extensions. In this we are different from physicists who only apply the mathematics, we teach them. But especially we like the Logic behind the language of mathematics, which creates it. So let us rephrase it. Yes, Physicists do know as much mathematics as we do. And their computers even more (-;

But they do not understand the logic of it. And that is the problem. Because logic is a property of time cycles, and its repetitive causality, logic is more important that geometry. Logic is ‘the beginning’. So the Greeks called God the mind of the Universe, Logos, derived from ‘word’, not ‘geometry’ meaning “Earth measurement.” And that makes the whole difference, physicists do not grasp. As what they do is ‘geometry’, measure. We philosophers of science do Logos, (-;

Now, we told you, we will evolve mathematics, so we can fit the new concept of cyclical time and fractal space within it, as Descartes and Leibniz did to fit their time vortices and relational infinite times, as Einstein did (not by himself but by applying non-Euclidean mathematics to his description of space).

So to that aim, we just need to complete the scaffolding of mathematics and explain what a mind is, in geometric logic terms.

So we need to complete the concept of fractal quanta of energetic space of quantum physics, the concept of a Universe of multiple time cycles of Einstein, and the philosophy of science, made of causal repetitions of time cycles called laws of science.

Thus we affirm that the Eastern, O-Cyclical concept of Time; and the E-insteinian, Relativistic concept of space, which we shall call, Œ, is superior to the ‘lineal, Abrahamic, concept of time’ and Absolute’ Newtonian, concept of Space.

I like to play with ‘words’. So you could think that A-brahamic, Lineal, A-bsolute Space-time is a simplified, earlier version.

And we shall go even further, into the Non-AE, (Non-Aristotelian, Non-Euclidean), i-nformative concept of Space-time.

And build a new Non-Aristotelian Logic and Non-Euclidean Mathematic formalism, which will set the foundations for a new paradigm of science.

This new Geometry is simple and evident. It is based in the definition of the ‘terms’ which mathematics ill-defined in Euclidean Geometry, points with no parts through which only one parallel crosses, lines with no breath and shallow planes, equaled by superposition, and then once Euclidean Geometry was found to be a ‘limit’ of a larger pan- Geometry NOT lineal but curved inwards (elliptic) or outwards (hyperbolic), on those dark times of confusions, were UNDEFINED.

So we DID not resolve the issue. We CANNOT ESTABLISH the fundamental science of the Experienced Universe, by undefining its fundamental elements. This no way out sponsored by Cantor, who substituted points and numbers by sets, nowhere to be seen in experience, and Hilbert who affirmed ‘I imagine points, lines and planes’, is a failure.

In that regard, the founder of Non-Euclidean geometries Lobachevski was in the right track. We can summarize Lobačevskiĭ’s solution of the problem of the Fifth Postulate.

  1. The postulate is not provable. Because, infinite lines curve when we have a larger view, becoming exponential inversion of space-time.
  2. By adding the opposite axiom to the basic propositions of geometry a logically perfect and comprehensive geometry, different from the Euclidean, can be developed, providing we limit infinity, (as the 5th dimension shows) hence parallels do NOT meet on the infinity, and by curving them (hence lines are part of cycles)
  3. The truth of the results of one logically conceivable geometry or another in its application to real space can only be verified experimentally.

Thus we must observe the Universe to prove mathematical statements and reduce mathematics as we do with all experimental sciences to those equations which ‘are real’.

The evolved formalism of i-logic mathematics: Upgrading Geometry.

Now, we shall be less literary and start with very solid conceptual elements, namely describing the essence of the fractal paradigm.

And to that aim we shall bring, in the simplest possible form, the fundamental formalism of the Fractal Paradigm, ‘non-euclidean, non-aristotelian i-logic, o-rganic mathematics’.

We call it i-logic because in time, it is more complex, with multiple clocks and i comes after the A of Aristotle (the logic built with a single time clock and a single causal arrow) and we call it organic because in space is more complex, with multiple co-existing spaces, smaller parts that become wholes and O comes after the E of Euclid (geometry with a single continuous space made of points with no breath). But in brief, we shall just talk of Non-Æ, or i-logic mathematics.

So we shall now explain and complete at a very elemental level far more developed in the ∆±∞ posts on i-logic mathematics, the formal language of the fractal paradigm, what truly Non-Euclidean, Non-Aristotelian space-time languages are.

Mind the reader, this is NOT so new. Again, the great revolution of physics in the XX century happened when Einstein realized that a point was a ‘fractal point with volume’, since multiple parallels cross it. So it could not be Euclidean – with no breath, abstract, dimensionless.

Now Einstein found that the Universe was non-euclidean, that is, points did have breath because they could fit many parallels of energy and information. And so they are ‘fractal points’ that grow in size when we come closer to it. But they forgot to change the first postulate of Euclid, and left points undefined, so this simple change of mathematics will open completely the world of science to the fractal paradigm. Let us see how:

Fractal point with breadth and the networks and social organisms they make, connected together.

Fractal points: the fundamental particle

We are going to use 3 basic symbols for the Singularity and the territorial body wave it orders around it as a vital energy, encircled by an angular momentum, or ‘membrane’, which forms the basic organism of reality a membrain of vital energy, moving around: œ, @, •, which you can consider 3 degrees of development of the singularity as an organism, a self-centered mind with a will order its body around it through its actions, or a mere point of perception. The interaction and different dimensions of the singularity in its different complex actions makes it by far the most important and yet less distinguishable, hence less amenable to direct experimental observation of all the elements of the being.

In mathematics it can be studied as a fractal particle, or point, •.

Mathematics, as a language that represents reality with simplified symbols, has a limited capacity to carry information. Its symbols, geometric points and numbers simplify and integrate the fractal, discontinuous reality into a single space-time continuum, the Cartesian Space/Time graph, made of points without breath.

However the points of a Cartesian plane or the numbers of an equation are only a linguistic representation of a complex Universe made of discontinuous points with an ‘internal content of space-time’. In the real world, we are all pieces made of fractal cellular points that occupy spaces, move and last a certain time. When we translate those space-time systems into Euclidean, abstract, mathematical ‘numbers’, we make them mere points of geometry void of all content. But when we look in detail at the real beings of the Universe, all points/number have inner energetic and informative volume, as the fractal geometry of the Universe suddenly increases the detail of the cell, atom or far away star into a complex complementary entity.

So we propose a new Geometrical Unit – the fractal, Non-Euclidean point with space-time parts, which Einstein partially used to describe gravitational space-time. Yet Einstein missed the ‘fractal interpretation’ of Non-Euclidean geometry we shall bring here, as Fractal structures extending in several planes of space-time were unknown till the 1970s. So Einstein did not interpret those points, which had volume, because infinite parallels of ‘forces of ‘—motions’ and information’ could cross them, as points, which when enlarged could fit those parallels, but as points in which parallels ‘curved’ converging into the point.

This however is not meaningful, because if such is the case parallels which are by definition ‘straight lines’, stop being parallels. So we must consider that what Einstein proved using Non-Euclidean points to explain the structure of space-time is its fractal nature: points seem not to have breath and fit only a parallel, but when we enlarge the point, we see it is in fact self-similar to much bigger points, as when we enlarge a fractal we see in fact self-similar structures to the macro-structures we see with the naked eye.

That is in essence the meaning of Fractal Non-Euclidean geometry: a geometry of multiple ‘membranes of space-time’ that grow in size, detail and content when we come closer to them, becoming ‘Non-Euclidean, fractal points’ with breath and a content of ‘—motions’ and information that defines them.

Einstein found that gravitational Space-Time did not follow the 5th Euclidean Postulate, which says:

Through a point external to a line there is only 1 parallel

Euclid affirmed that through a point external to a parallel only another parallel line could be traced, since the point didn’t have a volume that could be crossed by more lines:

Abstract, continuous, one-dimensional point:

. ____________

Instead Einstein found that the space-time of the Universe followed a Non-Euclidean 5th Postulate:

A point external to a line is crossed by parallel forces.

             Real, discontinuous, n-dimensional points:           ===========o

This means that a real point has an inner space-time volume through which many parallels cross. Since reality follows that Non-Euclidean 5th postulate, all points have a volume when we enlarge them, as cells grow when we look at them with a microscope. Then it is easy to fit many parallels in any of those points. Such organic points are like the stars in the sky. If you look at them with the naked eye they are points without breadth, but when you come closer to them, they grow. Then as they grow, they can have infinite parallels within them. Since they become spheres, which are points with breadth – with space-time parts.

So space-time is not a ‘curved continuum’ as Einstein interpreted it, but a fractal discontinuous. The maths are the same, the interpretation of reality changes, adapting it to what experimentally we see: a cell-like point enlarges and fits multiple flows of ‘—motions’ and information, and yet it has a point-like nucleus, which enlarges and has DNA information, which seems a lineal strain that enlarge as has many point-like atoms, which enlarge and fit flows of forces, and so on.

So each point is in fact a 3-dimensional point, and if we go to the next scale, a 3×3=9 dimensional point and so on. Yet those dimensions are the so-called fractal dimensions, which are not ‘extended to infinity’ but only within the size of the point.

In Euclidean geometry, a point has no volume, no dimension, but string theorists say that even the smallest points of the Universe, cyclical strings, have inner dimensions that we observe when we come closer to them. That is the essence of a fractal point: To be a fractal world, a space-time in itself.

‘Any Non-Euclidean point is a fractal space-time with a minimal of 3 internal, topological, spatial dimensions and an external time motion in the st+1 ecosystem in which it exists’

This simple law is the most important law of the 4th paradigm, foreseen by Leibniz in his Monadology, the foundation of the mathematical model of Multiple spaces-times that completes the 5 Postulates of non-Euclidean geometry and gives us the tools necessary to create a complex new logic and new mathematical model of the Universe, easy to connect through topology with the isomorphisms of the previous paradigm of a single metric space-time continuum.

Further on those points must be described always in 4 dimensions, with motion. This should have been obvious, but abstract mathematics simplify entities into numbers and static forms, and organic motion properties disappear. Yet we still say ‘San Francisco is at 8 hours from LA’, because we mean that journey is a combination of the motion of a car and the spatial distance. Thus we measure reality in Time-space, not only in space as Euclidean maths do.

Thus, in the same way Saturn’s rings stop being planes without volume when we come closer and observe them as fractal points, called planetoids; Non-Euclidean points acquire both motion and volume when we approach to them. In words of Klein, a sphere is not a continuous static form, but a group of points in cyclical movement. So in the same way the Saturn’s rings are a group of planetoids, a Klein space – the space-time that fills a point has motion – it is the sum of a series of cycles.

Einstein didn’t go further, adapting the other 4 Euclidean postulates to the new Geometrical unit: a fractal point with volume. Only then we will be able to define the 2 planes of physical forces, the plane of gravitation and electromagnetism, or any system in which several planes of space-time co-exist together (as in a human being extended from atomic to social planes of cyclical existence).

In all those systems planes are made with cellular points, Riemannian spheres with volume that form lines, which are waves between points that exchange ‘—motions’ and information and planes, which are organs of self-similar points that process ‘—motions’ or information in parallel networks. Thus the 5 Postulates of Non-Sp Geometry vitalize the Universe as a series of networks of ‘—motions’ and information of self-similar cellular points. Since the line and the plane acquire volume and become self-similar to the commonest forms of the Universe, the wave and the network of points with a 3-D volume.

This simple fact explains one of the most important discoveries of modern physics, the Holographic principle, according to which information might be bidimensional, as in the screen of a computer or the page of a book. Now bidimensionality no longer becomes ‘magic’ since the 3rd dimension is the relative size of the ‘fractal point-particle’. Thus bidimensional sheets of information do have a minimal 3rd Dimension; the inner content of the point, which in a relative universe of infinite sizes seems to us a particle-point without volume, as we don’t see either the volume of a sheet of paper or a pixel.

All in the Universe are thus complementary systems made of networks. Now this might sound absurd to the anthropomorphic reader that thinks humans are different from the rest of points of the Universe, but it is a fact that those points obey in their actions and communicative flows within a network the same isomorphisms:

humans and electrons behave the same when they move through slits or in herds, the geometries of social groups are also the same and the ultimate purpose of those points, to feed on ‘—motions’ and information, whatever kind, is also the same in all networks of the Universe. And so that group of isomorphisms of networks becomes a primary why for all beings of the Universe.

A fact the leads us to the final element needed to understand the why of the Universe: ‘non-Euclidean points’ organize networks that become points of a higher scale, which reproduce and organize new networks; and so the Universe keep growing in fractal scales, from particles that organize networks and become atoms that organize networks and become molecules that organize networks and become cells, that become organisms, that become planetary societies and planets and stars form gravitational networks that become galaxies, organized by dark matter into Universal networks.

Because all entities have motion reproduction is merely the repetition of a motion with form. Because each entity has 4 time arrows, all of them trace multiple trajectories in search of those arrows, hence they realize multiple time cycles.

For example, a human feeds on ‘—motions’ and information with body and head, reproduces through multiple social cycles and evolves into societies. Our actions are more complex but essentially the same of those of any particle.

How dust of space-time becomes a complex system and organises the scalar universe of parts that become larger wholes, from atoms to galaxies, from amino acids to social super organisms of life, is then the ultimate process to describe departing from the properties of all forms of dust of space-time. Those fractal points do organise constantly into larger systems, whose summit of complexity is a super organism, in which all those points of different size, speed and form co-ordinate its actions, motions and forms into larger, synchronic super organisms, which however are never eternal, but end up dissolving after its world cycle of existence ends, back into its smaller, fractal parts, loosing its information in the moment of death.

And yet the whole Universe is eternal because motion, entropy never stops. It is the ultimate substance of it all. And so we could say the Universe lives an eternal present as dust evolves into organic forms, emerge as a larger whole in a scalar, bigger world, where it develops its algorithms of existence, absorbing energy and information for its body waves and particle-heads, repeating its structure in other regions of space-time, and finally dissolving back; once and again, per in secula seculorum, the Universe repeats those simple games.

And so it can be considered a fixed block of 5Dimensions of space-time, where certain paths will imprint certain beings, which will again dissolve, as a screen of a television can run infinite softwares, which will be waves of form that disappear while the hardware stays. That hardware is what we call temporal energy, the motion with form of which we are all made:

 fractal points are forms, with social content, evolving in topo-biologic organisms.

At the end of the journey, of studying a super organism we come to a series of ‘willing points’, in which a series of space-time actions converge, converting the monads-points of the fractal space-time Universe into Non-Euclidean points (5th and 1st postulate of non-E topology). Thus since points have exi parts its lines of communication are ‘cycloid’ waves; its topological planes that connect n-points through n² lines become ‘networks’ of energy and information (with dark spaces between them) and the mind-point with its height-dimension of information, the informative-perceptive part on top of all systems, which guides it as its linguistic minds.

Not to look too far out we shall bring examples of stiences and maths to illustrate many statements (proofs in GST are first empirical, and then ‘consistent’ with the scientific method and its complex non-Aristotelian logic.
We DO REJECT, the ‘selfie-ego trip’ of mathematicians, who think as Hibert, the arrogant german idealist that ‘we imagine lines, and points’. NOT SO, as Godel’s incompleteness theorem states and Lobachevksi’s ¬E geometry proves, mathematical models must be ‘tested’ experimentally, which is what Einstein’s model did .

So WE need ALSO IN MATHEMATICS experimental evidence to prove a ‘true mathematical statement’ real (as Einstein quipped to Poincare: i know when maths are truth, but not when they are real). So maths, the blue pure thought, IF it can imprint the limiting ‘nature’ of simple entropy, becomes REAL SPACE-TIME:

PAST ENTROPY X FUTURE INFORMATION = PRESENT ENERGETIC REALITY

We cannot as GST is the summit of all human knowledge, made synthetic, explain each quote, but we are keeping it all to the level of a first University student of ‘social, biological and physical sciences’, on purpose. Our goal is TO GIVE YOU A SENSE OF IT ALL, OF THE THOUGHTS OF GOD, not of all the details, which would be an impossible task for an old man.

Then you or others will keep making GST, the philosophy of the XXI c.

The many perspectives we can cast in those cyclical knots of space-time actions do not make us forget the most objective view of them as ‘mind-knots’, which consciously or subconsciously mechanically or organically by selection or program, which ever perspective you want to accept, seem to establish the order of a certain domain of space-time that turns around the point of order. Those domains with the ternary topology described as a fractal ternary system is the commonest form of the Universe. And its mathematical description is immediate when we consider each mind a ‘fractal point’ that shrinks without deformation a spherical topology (poincare’s conjecture) converting its inner and outer reality into a subconscious and conscious mapping, ‘action-oriented’ as it seems to act with the function of existence in its ‘mind’, creating ∆±e, i, ∑exi, structures and events that conform the program of a world cycle explained in those tests.

If we are to start with strong terminology, we could consider all of those space-time systems self-centered in a mind with non-Æ logic mathematical terms.

THEN, we could state simply that all what you see is a particle-point of space-time, knot of space-time actions, a fractal Non-Euclidean point which perceives as a mind a territory of order around its still quantum mind of space-time synchronous mappings, which slowly moves ahead the domain of the being, choosing between different new space-time cycles that mess the internal space-time beings, into ever more complex cycles, till their finite frequency breaks down into entropic death.

So those systems will have a central point of view, or still mind, connected sensorially to the external membrane, through which it will perceive the world in which its internal territory will perform its ∆-1 cycles of existence. How this ‘complex point’ achieved a vital program of existence which seems to repeat in almost every system or domain organised in 3 territorial forms=functions=organs is a fascinating inquire of the mind, which will come to the final conclusion that essentially any fractal system, physical, biological or social can be reduced to such description as the unifier ‘ultimate’ meaning of existence all those systems follow… guided by the fractal point, made to the image and likeness of all its micro-fractal ∆-1 points, and performing its same actions in the ∆+1 fractal world.

As all points are part of networks that become ‘topological wholes’, we have now the basic knowledge of a single plane-reality to go further into the true r=evolution of fractal space-time, the understanding of the fifth dimension…

Indeed we still need and entire new dimension of the universe to understand it.

Do you think the Universe is constructed in ‘fractal scales’ from the smallest particle to the whole galaxy, whose laws of organisation (encoded in the metric equations of the fifth dimension) are worth to know and relevant to the structure of reality? If you have wonder about it, you are ripe to understand the 5th dimension (as usual, knowledge is far easier when someone has ‘asked the right questions’, as most humans adscribe to the naive realism of the audiovisual age, don’t even realise such questions exist for things that are not ‘evident’).

Now, an important remark on algebraic equations and geometry, akin to the nature of visual perception and words that we shall soon understand in terms of the generator equation. WHILE VISUAL IMAGES AND TOPOLOGICAL LAWS ARE DIRECT EVIDENT TRUTHS EXTRACTED FROM REALITY, SO are the simplest forms of mathematics, numbers, as social points; the syntactic, synoptic equations of algebra and the sentences of verbal thoughts DO NOT EXIST IN REALITY as geometry and visual perception does; they are pure mental synoptic languages that try to store maximal information within the mind.

This means THEY ARE NOT REAL. That level  abstraction thus is the human-computer mind view of the real geometric, visual space-time Universe of formal motions, reason why GST is so important to better connect mind languages and reality.

 

Some basic morphologies.

Some languages are closer to reality than others, which are more synoptic and subjective to the observer. None is as close to reality as topology, hence we can talk almost of reality in topological formal=functional terms. Then we can say the ‘syntax’ of topology becomes the syntax of reality, made of lines of entropy, cycles of information and its hyperbolic combinations, body-waves.

We can then consider for each science and plane of existence some basic forms, which imitate the morphology of Entropy and information; and therefore are very common in the Universe:

– Lines: Entropy element. I.e.: Swords, limbs, rays.

– Planes: Social group of lines. I.e.: Stellar planes, solar planes, mobile platforms.

– Cycles: Informative unit. I.e.: coins, cameras,

– Spheres: Social groups of informative cycles. I.e. animal heads with a smallish sphere – the eye, the center that processes the biggest quantity of information – and a bigger sphere, the brain also specialized in handling information.

Those forms are the commonest of the Universe. Yet those elements tend to be complementary parts of an organic system. So they give birth to a 3rd element, whose form combines both, the reproductive body, which is ellipsoidal or become combined giving birth to the commonest systems with both, a lineal and a spherical part:

– Trees, combinations dominant in Entropy: They have a lineal trunk, with 2 fractal ends, one specialized in Entropy absorption (planar leaves); and the other, a smaller ‘head’ – a network of broken roots that absorb the chemical elements of the system.

– Spirals, where the dominant part is information. They often fluctuate between a lineal and a cyclical state. When the spiral cycles inwards, it is transforming Entropy into information. When the spiral opens its arms it is expelling Entropy, often for movement purposes. So the RNA, the worm or the snake coils to sleep and uncoils to move. Sometimes spirals have 2 elements: a central zone of maximal information (nucleus), and an external zone of maximal Entropy (lineal body). Such is the case of spermatozoids or spiral galaxies with a central black hole of gravitational information and 2 arms of energetic stars.

Finally we can talk of Social groups that gather those ‘non-Euclidean points’ in networks of Entropy and information that repeat the same forms in a bigger scale. The simpler of those social groups acquire 3 morphologies of Entropy, information or its combination:

– Rings. Informative Disks and spheres gather into rings when they come together as groups. So happens with molecules such as the carbon benzene; with groups of men commenting on any type of information, from informative money (stock-market rings), to social parties; to religious circles (Muslims, Indians), in search of the perception of the network of mind, called God.

– Strings: Energetic, lineal systems made with rings or points tied one after another in a queue.

– Coiled Springs: Balanced forms that combine individual elements dominant in Entropy and elements dominant in information. They often tie a series of spirals through a social dimension developed in the Z coordinates. The best-known case is the DNA spiral – an association of informative rings called Nucleic Acids, joined by a lineal chain of energetic sugars and Phosphoric acids.

Those simple forms, repeated and combined ad infinitum, allow the creation of very complex macro-organic systems made of micro-organic systems.

For example, in physics and biology, orbitals and bacteria repeat once and again those forms:

So there are 3 basic species of social bacteria, called coccus, bacillus and spirillus. Where, Spirillus are Spiral forms; Bacillus are Trees and coccus are cyclical forms.

While the electronic orbitals that turn around the nucleus of an atom are either:

S orbitals, which are spheres. Or P orbitals, which are lineal forms…that gather in social molecules repeating again the two basic shapes of information and Entropy:

p orbitals, which are cycles. Or s orbitals, which are Trees.

And so we can keep building new scales of forms, combination of those simplex forms, perfectly suited for their functions: Lines and spheres are perfect forms of Entropy and information, and spirals and ellipses are the perfect reproductive forms that combine both.

Temporal in-form-ation, like its name says, is a measure of inner form, which we perceive when there are discontinuities in a certain bidimensional surface – a clock, a page, a computer screen – either because the static form is broken into informative patterns (–) or its motions makes a sudden peak (>), bouncing in an action-reaction cycle. Universal entities are constantly generating informative dimensions or erasing them back into extended space, with lesser form. Imagine a hand, in mythic terms the hand of God, wrinkling a paper, the ultimate Entropy of vacuum space, till it crunches into pure cyclical form without motion – to explode again in a big bang of Entropy that erases information. Such is the universal rhythm that happens in all the parts and entities of reality.

The interaction of the arrow of expansive, lineal, spatial, Entropy, described by Thermodynamics and the clock-like arrow of cyclical information, caused by gravitation in physical space of by the fractal geometry of any life process that generates information in Biology, defines the main beat/cycle of the Universe, its fundamental particle: a system of space-time, constantly absorbing Entropy from its environment, creating and destroying form, expanding and imploding.

Look at the cycles of |>0 existence: legs opening and closing; eyes winking; mouths opening and closing on the Entropy we re=form; beats of hearts; wings of birds; day and night; Entropy stars with expansive electromagnetism and formative, gravitational black holes; big-bangs and big-crunches; bodies and minds; hardware and software; males and females; yang and yin that create Existences. Since all dual, complementary entities follow the essential beat of existence, merging together their Entropy and form, e x i, to reproduce and maintain the immortality of their complex ternary system, which is the ultimate ‘reality’ the Universe maintains ‘ad eternal’. The simple fact that species, which do not reproduce exhaust their Entropy and end their cycles, becoming extinct explains the overwhelming presence of reproductive events in all systems of the universe. Since all is motion reproduction exists by the mere fact that a motion is constantly reproducing its path. All what we see are paths, trajectories of entities in search of Entropy and information to reproduce themselves. The how of those paths and reactions is what scientists study in detail. Their whys is what a philosophy of science aims to provide.

Recap. From a geometric perspective both arrows have inverse forms: Entropy expands and creates formless space. Yet space has lineal shape, since the line fills the maximal distance with minimal volume. While information implodes, creating cyclical forms, ‘clocks of time’ that store the maximal quantity of information in lesser space.

First we analyzed its ultimate substances:

Lineal Entropic Space, perceived as motion, E, or as a space, in a series of fixed’ scales of spatial size and form, (Se). And we make more precise definitions of ‘pure space with steady speeds’, S, and its beginning of merging with forms of information (momentum and energy, which add vortices of accelerated gravitational forces, aka masses to the mix).

And cyclical, time-clocks also perceived as rotary Motion, T, or as Forms of information, in the dimension of height, To, or T ° if we want to stress the ‘height dimension’ of form, of in-form-ation. And we also defined more precisely information, where pure To, temporal clocks of form add the wave-displacement or motion to create an sTo form, which still is dominant in form, as waves maintain their form while their energy-motion dissipates.

So we accept this simplification and talk of spatial entropy and temporal form and study its inverse properties according to the metrics of the 5th dimension.

Since in practical terms, as we exist in present, through present actions, a combination of past ‘—motions’ and future form, all what we study in fact are energetic/informative combinations of those 2 pure motions.

The perfect cycle does not really exist. Pi is an irrational number and orbits are ellipses with some length; an the perfect line does not exist, the diagonal is a √irrational number that needs some curvature to connect two other lines through the shortest straight diagonal. All yin has some yang, all motion has some energy (mass-particle that moves), all form has some information (translation). And that which is with no form, or infinite gravitational non-local motion is not visible, and that which has no imperfection in tis cynical curvature, with ‘temperature vibration’ is under 0 kelvin degrees. In other words, we do exist in a vibrational imperfect present in terms of physical concepts, we live through present actions and reproductive mixtures of energy and information.

The understanding of those 2 elements, its 3 spatial dimensions and its 3 temporal, dimensional ages, and its bidimensional, topological combinations, S, ST, Ti, entropy, energy action and format, conform the full comprehension of the i-ndividual, I-centered, most important space-time scale of any being, the one in which ‘he lives’, which we have called the ‘5th dimension’, to follow the compact analysis of classic science that studies only the Present most important dimension of time, with ‘instantaneous derivatives’, v=∂s/∂t.

Then we analyzed the combination of both, or the metrics of the 5th dimension

Nest we will analyze the systems built with them, the super organism of reality in which according to those metrics, there are always heads of information and limbs of energy of different size and speed.

The isomorphism of ‘informative heads’ and energetic/reproductive limbs and bodies HAPPENS across multiple world-planes of the 5th dimension, each one studied by a science.

In two coordinates, the height coordinates of information and the X coordinate of space-energy of the main planes of the universe. Notice that paradoxically as we become smaller in space-size upwards in information we increase our fractal information and the perfection of our ‘smooth’, superfluid orderly following of those laws.

Hence we have put on top of the pyramid in a never reached, ideal infinite infinitesimal the ‘seed’ or ‘primary’ encoded ‘non-Euclidean point, Œ, mind of the Universe which encodes all the laws of the 5th dimension and by infinite iteration gave birth to all beings. This would be if it ever existed the particle of god, NOT the higgs, but the ultimate i-logic mind of the Universe.

In the graph above we see the duality of informative smaller heads controlling lineal limbs and reproductive wave-bodies.

A precision: we often simplify bodies and limbs into a single Se system, (see the previous 2 posts for a more rigorous definition).

In strict terms, there are always 3 parts, which correspond to the 3 topologies of bidimensional membranes:

-Pure lineal, hyperbolic space-motion – limbs/fields.

-Pure cyclical, spherical informative motions, heads/particles.

-And its ‘energetic-informative combinations of yin and yang, waves and bodies, since energy is motion with a bit of form (the mass), and information is form with a bit of motion (the wave-particle displacement).

Yet since the ‘present’ body-wave, combination of past-entropic limb/fields and informative pure To forms of future is the dominant element of reality, we do write often Se≈To for the whole system, that is systems of spatial energy and temporal information in perpetual exchange ad transformation through body-waves, ≈.

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

¬AE  SYMBOLS

You might next wonder why we use weird symbols of non-Ae logic in this blog. Can we just use the nice mathematical or logic symbols of the axiomatic method? Well, we can’t really.

Consider a simple law of Disomorphic time cycles: 3Ð ∆¡-1 ≈ 4Ð ∆ø

This might sound Chinese to you (: but it has a deep meaning and because we use the symbols of T.œ  -Theory of the Organic Everything, it applies to everything in the Universe 🙂

So you fully grasp why we had to invent a simple, intuitive new I-logic language, as those are very general laws. Indeed, it means that any system or organism in which there are different scales, the 4th entropic dimensional  action of feeding of the larger scale is symbiotic to the 3rd dimension of reproduction of its ∆-1 parts.

It is a lw of time clocks synchronized according to the actions they perform in social, organic manner. i.e. your faster cellular time clocks reproduce (a slow action of time-space or 3rd Ðimotion of timespace) to the tune of the larger feeding cycle of one day (faster timespace action). So we can write with our simple symbolism:

Trust me, this is truly the amazing stuff and ultimate generalization of reality – its laws of exi:st¡ence.

And they happen in human bodies, animals, plants, crystals, stars and black holes (oh yeah, the black hole ‘eats’ every 11 years, when the activity at saggitarius is maximal and its star cells, like the sun suffer a massive magnetic cycle of black spots or peak of solar activity which in turn determines the weather cycles of reproduction of plants in this planet… believe it or not, there are such cycles ALSO in the organisms of the galaxy).

But the beauty of the symbolism of T.œ is that infinite of such events are resumed with that very simple ‘sub-equation’.

And all sub-equations of reality can ultimately resumed with the simple ternary terms we have used for ‘time-motions, <≈>, time planes, ∆§±¡ and topologies, O x | = Ø, also expressed to make it a little bit more ‘amenable’ to humans, with the ST, 5 symbols of timespace dimotions: 

  1. Ði: Informative particles/heads: §ð
  2. Ð: limbs/potentials: momentum: st.
  3. Ð: ∑e x ∏i: body waves: ∑∏.
  4. Ðimotion: entropy: S∂.
  5. Ðimotion: Organic evolution: ∫T.

The simplicity and beauty of the I-logic equations of the Universe that I hold in my mind-point alone for 30 years is such that all what exists can be synoptically expressed with the ‘world cycle’ of timespace dimensions:

∆ð+¡>S@<<∆ð-¡

∆§±¡:5D plane§cales of §pace  ðime  ∑≥: Present-reproduction <:Entropy >:Information  |≈:Limb/Potential/Youth ≥:Iterative Bodywave O@:Old particles-heads: ΓØœ:Supœrganism

The universe is a repetitive equation of generation of local ‘Dimotions’, dimensions of space with temporary motions.

Its origin though is a point of space-information. And so creation always departs from seed that emerges after a reproductive, evolutionary process into an organism. And then again fro the head/particle, the mind of the organism.

CREATION thus goes back and forth in chains of steps of existence, Δð>S¡∑>∆º… as systems emerge into super organisms and then die in inverse equations: ∆º<<∆ð, with the caveat that in the entropic death the intermediate existence of ‘minds’ across a relative simultaneous present, S¡∑, is NOT present. This is the reason why is so fast, almost simultaneous, indeed lasting only a quantum of time.

It has to be noticed in the graph thus the existence on the path of life of 3 _≈ symbols of 3 ages, ≥ youth, ≈ reproductive maturity and > collapsing third age, in which there is a deficit to the total universe of two << as the ≈ presents are considered ‘not time consuming’ virtual conservative cycles of existence. S existence is virtual in each ≈≤< present ternary existence and thus explains which death which IS the same travel in the fifth dimension WITHOUT STOPS in the fourth dimension happen.

As if you haven’t noticed a present is a fourth dimension domain, in which present simultaneity is measure as a conceptual definition of an event happen in a superorganism.

So present 4D Space-time of adjacent super organisms which haver a present measure of time in its simultaneous perception by a still languages that commands a nervous informative language of maximal sensorial speed to become the linguistic image we take for still space-time state, will then be divided as we come across its formal reasons of motion between two similar states, to the concept of ternary anti symmetries.

As there are also an antisymmetric future to past fast descent into perpendicular death, a symmetric longing present of a life arrow and an asymmetric state in which that latent present lasts.

So minds evaporate fast into an inverse from symmetry to antisymmetry, but life has many times of present asymmetric missed liquid states. And so we can consider that 4quation from different perspectives.

-® Logic: Duality > Trinity

‘From one comes two yin (form) and yang (motion), from two comes 3 (qi-energy), from 3 come the waves of 10.000 beings’

Cheng-tzu

 

WE HAVE highlighted the key ‘logic elements’ of those systems, which are profound laws of structure that define the Universe in its most abstract form.

 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=annihilate 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 3 ages, 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:
  • @: 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 information (perceptions) with other beings…
  • And two complex actions: offspring 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:

∆nalysis: 5D. Finitesimals – the present, static spatial view of ∆-1 beings.

While the topological ternary structures and growth of social networks of fractal points can define easily the emergence of a super organism, in strict mathematical terms, the second sub discipline of mathematics, analysis, deals directly with the relationships between finitesimal parts and social, organic wholes. So the specific mathematical discipline that studies the scalar, fractal 5th dimension of space-time Beings in quantitative terms is analysis. And it is specially useful for the study of systems in which the internal organisation is minimal – that is systems of herds displaced in space and of growth and events happening in time.

What is then the main difference between analysis and ∆nalysis. Simple: in the fractal universe, we take sides with the dispute on the meaning of infinitesimals, which as Leibniz thought are ‘finitesimals’, minimal constant parts of a whole, which do NOT diminish ad infinitum in size, but will always have a minimal number – in planes of ∆, normally on the 10ˆ10 scale.

So we solve this logical paradox, never fully resolved, stating that the parts of a whole are finitesimals, ‘undistinguishable’ from the perspective of the ∆+1 consciousness – in fact from an ∆+1, the information and perspective of its parts blurs till it seems a continuous. And so all scales below ∆, become increasingly ‘indistinguishable, continuous’ and finally its information erases. Moreover its cycles become so fast that they close into themselves, converting the whole motion of the being and its world cycle into a relative static present; and in this manner discontinous motion, becomes continuous, static present form of space. A fact which resolves the paradox of Galileo (see above, Saturn’s rings).

 

TOPOLOGIC ANGLES of 5С actions:

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

1.The One: asymmetric.

2. Duality, disymetric beings

3. Trinity:antisymmetric flows

4. infinity: symmetric herds

5. A(nti)syMetric scales, topologies and time ages

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

II. A(nti)syMetric physical systems: Creation, destruction and conservation laws.

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

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

The minimal unit of the universe is a STep of space-time; a minimal Ðimotion, which will differ from species to species. Steps, actions, Dimotions, Dimentional motions, Space-time Units are all similar concepts with ‘entangled’ different views, which a one-dimensional humind hardly can understand.

A more formal, mathematical analysis of THE ACTIONS OF MINDS can be achieved with steps, which can be parametrized and measured. For example, in physics, actions are measured as steps, which reduce the simple ‘least time’ rule: motions are sum of steps that tend to zero time and maximal space-distance (Lagrangian->Hamiltonian formalism).  It is for that reason we talk of ‘metric steps’ as the fundamental unit of a ‘physics of time’ (the oldest of my copyrighted books on 5D from 1992, c. library)

Steps also embody though a philosophy of existence and communication between parts that grows the ‘logic complexity’ from the @ristotelian, self-centered mind into the communicative duality and the structural ternary networks that finally give birth to super organisms, so we shall treat them here from a philosophical perspective.

Let us then introduce the dual and ternary structure of reality.

Life is a trip through the fifth dimension in small STeps, rigged by the fact that they can only be tied towards an increase of information, given the proper way to define its possible step-motions.

Space and time can have a lineal or a cyclical form. The process of bending is a slow down, the process of snapping a bent cycle rip opened in the process of death is much faster.

Dimotions can be measured as STeps of which the variety increases, from the initial 2 states, form and motion, space and time, to no-change, space-space, time-time or inverse change, S<t, t>s.

But as steps must finally close into a cycle, steps NEED TO BE at least ternary:

S<T>S, and so on. Now those steps as ternary steps start to trace forms in the spacetime background or larger scale in which they can play at least 2 scales around in acts of entropy (Death and absorbtion of energy). When we see a superorganism thus it will have a vital energy encircled which is able to destroy at two levels below into entropy the regions around it, to extract the bits necessary for the steps of inner self-replication, ST=ST.

We shall call the following steps the 5 DImotions of space-time, or actions, now defined in its easiest quantitative form – steps:

SS (AB. §): Mental, Solid Form

$<t: Locomotion

$<t>§: energy becoming information

t>§: Information; perception.

TT: Entropic motion.

As soon as we observe the previous equation an astounding discovery comes in, by virtue of the state of space-time in which each action is defined, there is only a possible form to connect them repetitive cycles, $<t>§.

This chirality of the Universe which comes from the very essence of its possible steps through the fractal generator, define then a possible only worldcycle: $<t>§«$, where the last step is death which through a fast NON-t mediated process in a non-quanta of time the system dies back again, and the worldcycle is completed:

Time is a curved hence with at least two dimensions, besides length: curvature and frequency. Time cycles thus break reality into an inner and outer ‘vital space’, and add a singularity point or focus of its motion. Because pi is not exact, steady state clocks are less common than vortex spiral or fluctuating ±π mouths, but all time cycles tend inwards in a 3rd age of warping and in-form-ation till the flow of motion ‘stops’ in the still singularity, ejected perpendicularly in an explosion of death-entropy. It is the last time quanta of the clock when motion becomes a 5th dimensional still image before dying into a lineal 4D entropic flow

 3rd line: T.œs’ 11 Dimensional isomorphic properties in vital, sequential order.

All what exists is part of fractal time space organism performing a world cycle of existence through its ternary symmetries as a travel in 3 scales of the fifth dimension, which can be described quantitatively in terms of social scales, topologically in terms of geometric transformations, vitally in terms of organic symbiosis and temporally in terms of a conservative zero sum world cycles.

That’s all what it is to the Universe. The rest are details. Humans of course, will always want more – add ons that please their ego paradox, and infantile ways, but trust me that is all what there is to reality.  And it can be known in its essence, because as we are made to the likeness and image of the fractal, even the smallest part is a world in itself where all the laws manifest, in each island Universe. And so even if total information can only be extracted from the being in ‘itself’ through time within us we have the whole reality to know.

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.

The sum of those actions integrated in time, gives birth to the world cycle of existence can be expressed in different partial sub-equations of time and space to form its fundamental 11 Disomorphic dimensions.

In that sense we can consider the 0-1, Γ, ‘Generator Dimension’ of the system departing from a o-1 singularity seed of information •; as the starting point of any ‘stientific’ explanation of the being, from a formal perspective. They are related to the @-mind seed of the system and its languages of formal expression, which conform the Generator, or symbolic expression of the ternary topologies of the system, its ternary scales in space and its cyclical past-present-future ages in time:

T.Œ-1: Birth ∑∏: ∆ø ≈ ∆-1: |-$t (limbs/potentials/territories) < ∆: Ø-S≈T (reproductive body/wave/workers) > ∆+1: o-ðƒ (informative particle/ head/upper class)>>∆±1: Death

And so each Ðisomorphism studies a relative element of the Generator in more detail; in a more ‘dynamic way’, starting from its original seed. And as ultimately it is all a game of ternary symmetries in ∆st, put together by a 1-0, 10th & 11TH dimension of wholeness, as we relate the tale of the worldtime of an organism and put it in relationship with its spatial symmetric form, reality unfolds in a natural way for each T.œ.

THE MIND AS A Ƥ TRAVELER WITH PERPENDICULAR, PARALLEL AND ASCENDING MOTIONS.

We stated that the mind creates and destroys reality through its 5 survival actions that happen with ‘different angles’ of motion regarding the fifth dimension of scales. We love those who are equal to us, we obey the whole above us, we feed on the lower elements, where we also seed just in the ¡-1 scale…

So how can we treat logically the different angles the mind adopts regarding the scales of the fifth dimension?

Simple speaking with the concept of logic symmetries and its diversities, which are both topological and biological, behavioral actions, such as.

– We are in parallel symmetry with those equal clones we herd with to ‘ascend’ into the whole through the social scales of the 5th Ðimotion.

-We are in complementary disymetry when we come with a couple to form the simples social grouping for reproductive purposes, (3rd Ðimotion)

-We are as a whole in the arrow of life self-reflecting being an asymmetric super organism with 3 different parts which converge into the body-wave: Limbs/Potentials=>body wave<=particle/head. And vice versa, in the arrow of death the asymmetry explodes into the 2 parts of the being:

Limbs/potentials>= bodywave =< particle/head, splitting it, in the 4th Ðimotion of entropic death.

– We establish antisymmetric relationships with systems below us from where we extract energy and form in darwinian relationships in the first and fourth Dimotion of informative and energy feeding.

So the topological expression of the Ðimotions as actions of existence can be observed as different forms of symmetry, which has a direct real implication in the analysis of physical systems and biological forms, but must be accompanied with functional, behavioral traits.

The mind we can say in the most formal topologic analysis constantly switches its moral angle of functional relationship as it changes modular actions in its constant switch between the 5 Ðimotions of exist¡enœ.

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.

  • ∆œ 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.
  • ∑∆o≈∆+1 Sy♥metric: ≈: the hearts->love symbol for the parallel symmetry which brings things together through a common language of communication.
  • ∆ø: S≈T, O x | 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 operand 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. ♣

And they are the best way to merge in the entangled Universe Scalar, topological and biological, temporal properties as perceived by the actions of the mind, embodying the fundamental ‘higher form of truth’ of any statement of reality – one in which we merge the whole properties of scales, mind, time and space: ∆@ST

We shall in this paragraph explore the ternary+0 paradoxes of sentient topo-bio-logic exist¡ences, the 4 main properties derived of the ∆º§tructure of reality as an introduction to the highest of all languages of thought ¬Æ=¡-logic mathematics, starting by the ¡-logic principles, ill-understood by physicists that form still today albeit in a simple @-logic form, the scaffolding of the discipline (relativity, conservation principles and group symmetries). And debunk its ‘creationist mathematical’ egocy (Ego+idiocy) explanation.

 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:

     ♣:    ≥≤                                      ♥:≈                                           ♦:≥                                            ♠:><

The Universe always starts with an asymmetric being, which can go both ways: <≈> towards a social evolutionary symmetry that lasts in time and implies a mirror parallelism, or an antisymmetric destructive, perpendicular event in which one part punctures and absorbs the energy of the other. It is the topo-biological ternary principle of non-Euclidean, Non-Aristotelian I-logic geometry that puts together both the biological and mathematical properties of reality.  Thus departing from an original asymmetry, the origin of them all, an amorphous mixture of motion and form without clear orientation we can observe either an evolution into:  symmetry=parallelism PROPER of limbs/fields that do not touch but act together in herds or a devolution into antisymmetry= perpendicularity, which is darwinian, or the more sophisticated mirror dissymmetry or complementarity. The 4 possible states of a logic behavior event are studied by the 4th Non-E Postulate of similarity which in classic Euclidean geometry was the third axiom of congruence.

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 operands 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 operands 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 realization 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.

a(nti)symmetries

 

The events of space-time as viewed with cones of existential force.

A more profound formal view of the 3 arrows of time is that of non-AE logic that establishes the rules of engagement between relative past, darwinian, entropic antisymmetric events, and relative future, symmetric, social, evolutionary informative ones, departing from an asymmetric ‘body-wave’ state that fusions both in present realities.

In the graphs in non-existential algebra we define the 3 states of time as asymmetric present spacetime, which potentially holds the entire range of states of the being, ≤≥, symmetric future > form and expanding,  entropic <, past.

If we cut the cone at any relative moment of time, we get a slice of its ‘relative space-present existential force, where we can map the present sheet with two relative coordinates of ‘energy and information’, whose product gives us the existential force of the system (or alternately for some systems is better to represent them with imaginary numbers for information and real numbers for energy and then we can reduce the concept to a lineal curve).

So once we define the existential force of the cone, we can represent with those cones how the existential force of two colliding elements develop:

The 3 events of space-time then can be represented as cones, from left to right:

  1. A symmetric, complementary positive dual cone, which bring information from a relative future 1D vortex and entropic motion from a relative past, and produce a present symbiotic bilateral mirror symmetry.
  2. An asymmetric event in which the relative past, smaller system with less existential force is annihilated in the present but the relatively more evolved future cone with more existential force.
  3. An antisymmetric event in which the present point explodes, separating the 2 parts of the being, its relative future and past, particle/head of information and body/limbs of energy.

We could then wonder using the rules of existential algebra  in its simplest operandi (superposition), how we can calculate those ‘existential cones’ for different events. Which we do according to the fourth non-Æ postulate of similarity.

What is then the simplest representation of a being as a cone of space-time? Obviously a single cone with the ‘point’ of minimal volume in the future and the present body of maximal extension from where a few ‘lineal limbs’ probing in the past scattering motion would depart. The graph shows that representation of a ternary system of space as it displaces in time, guided by the informative particle-head, whose body extends into energy and information, and its limbs scatter into the relative past to move the system. So this cone of existential time-space is the simplest representation of a super organism in time algebra

Death S@<<∆ð events thus can be considered as antisymmetry and life events, with 3 phases, ≥ a young age of relative motions that slow down to ≈ a repetitive age, followed by an > collapsing their age, become much longer in perceived present time, since its repetitive tendency towards present stages of time allow it through changes in cycles and motions to last much longer.

In the graph, the fundamental 3 dimensions-events of time as constructed by the existential algebra between past=antisymmetry, present=asymmetry and future=symmetry, starts the combinations that will form the ultimate underlying structure of reality and its ‘simplest operandi’, easily adapted from the mathematical inverse operandi and its group symmetries. We shall consider in this blog an introduction to what time permitted will be the highest level of comprehension of fractal space-time beings and its rhythms and world cycles of exist¡ences.

The highest level of formalism of the Universe is the process of creation of new systems or destruction due to the a(nti)symmetric properties of a system and its correspondence with the Future (Symmetry), past (antisymmetry) and present (asymmetry) in such a mode that we can calculate past, present and future combinations in terms of its corresponding topological, formal states.

Non-Ælgebra existential deals then with the creation or destruction of dimensions of time departing from present asymmetries, which are present forms that split into past=antisymmetry, and future, symmetry, the topological expression of which is:

|-past x O-future symmetry = Present Asymmetry Ø

So present splits in a superposition of past + future, past – future and future – past variations that can be added into 2 past, 2 future, and 2 past future on different orders, that become then annihilated or evolved into new symmetries.

Now in time we can write:

Present Asymmetry = (Future symmetry – past Asymmetry)  + (Past asymmetry – future symmetry) = 0.

But if we operate them by product = 2 F x P;   – F²;  – P² which logically must give zero also:

2 F•P – F² – P² = 0

Thus 2 F•P = F² + P²

It is then clear that present FxP states are dominant and equivalent to the relative past and future superposed together.

This basic law of existential algebra has multiple readings. The simplest one is to consider that the period of present life, when energy and information are in relative balance and the being is fully functional has the same value in time and space than the sum of its young age/limbs and its old age/heads.

This first law of existential algebra happens in all the systems of the Universe: the present, classic, mature state of the being lasts in time twice the sum of the youth and old age of the system:

3 ages

The present lasts as much as the past and future combined; it exists in the classic age of balance between form and motion in any system of the Universe.

We can also apply it to the spatial volume of bodies which tend to be in proportion according to some operandi (normally sum or multiplication), equivalent to those of both the limb/potential and head/particle system, determining once more the dominance of present states over relative past-motion and future-form: yin x yang = yin+yang, we could write, establishing another equation which will interpret multiple equations of science:

energy x information = motion + form.

It is then through the proper use of the rules of bio-topologic systems departing from the I-logic postulates, interpreted with the inverse operandi of logic and mathematics, how a fully rigorous non-existential algebra that connects I-logic and current science can be established.

I have worked on it, lacking though as usual help and order in a very disordered way, it will take some years to fully find my youth notebooks and start to write it properly with more ‘Chicago Manual style’, on what it still remains here an unconnected effort (and if not, failing my age and attention at least leave a few seeds for future researchers).

Since once we establish both the meaning of operandi in classic algebra and its use and translation into existential algebra, we can  start to operate in Temporal algebra from simple principles from where we shall extract some fundamental laws and properties of the world cycle, knowing that:

  • Past is antisymmetric, and its topology simplifies into lines, that break the asymmetric figure in two parts that diverge and…
  • Future is a rotary motion of angular momentum of the…
  • Conserved present asymmetry…

Thus past, the line of opposite diverging exploded parts relateS to death with less form that future the angular momentum, rotary form which encircles the antipasti, into linguini, of vital energy.

The algebra of i-logic, non-aristotelian, non-euclidean geometries is thus essentially an existential algebra in which both the symmetry antisymmetry and asymmetry of operators can be defined both in time and space.

We then by convention define space as present-future, time as past-present and consider its static and moving forms. the line in motion.

The most important element of the Universe in terms of its logic and hence linguistic structure are its modes of connecting its ternary fractal points or ‘parts’ to build larger wholes or annihilate its organisms. This is the subject of Non-æ logic which can be observed either from a geometric perspective, or from a bio-logic one, through the actions of its organisms. We talk then of ‘asymmetric’ systems, Lines and cycles upper and lower scales, discontinuous parts and continuous wholes, which converge into a middle term. But also of the opposite effect: the destruction when the asymmetric terms do NOT converge but diverge. And this depends on its degree of similarity=parallelism or perpendicularity.

Symbols:

The mixture of both bio-logical and topological properties to determine behaviour is then an important feature of ¬Æ, which shows the essential S≈T interaction between space and time form and motion dimensions.

Let us then define the Universe and any event according to its topo-biologic behavior geometricaly in:

  • Asymmetries, ≥≤, in which the potential for all outcomes exist as two different forms come together to meet and then establish either:
  • A Destructive antisymmetry, ><, which turns into a first approach, > with a perpendicular, Darwinian relationship that will split the system, <, into an entropic destruction of one of them.
  • Parallel symmetries, ≈, as both systems come closer to each other to start a social relationship of ‘love’ becoming fusion into a whole: ∑∆-1 >∆º

The potential 2 paths of future are thus defined first by an antisymmetry seemingly disordered form, which however has in its present Ø=|xO system all the potential outcomes.

Algebra operandi.

Now for what has been said, the key connector with classic science is the full understanding of the dual algebra operandi, ±, x/, ∂∫, √xª as part of the classic logic game.

It is immediate the correspondence of those operandi with the dimensional elements ∆st, as:

  • The sum-rest are the inverse arrows of the simplest superpositions of dimensions between species which are identical in motion and form.
  • The product/division rises the complexity of operandi a first layer, and serves the purpose, besides the obvious sum of sums, of calculating the margin of dimensions, as combinations which are not purely parallel between clone beings, most likely through the recombination of its ∆-1 elements, as the product of 2 Sœts inner elements give us all possible combinations. Ie. 5 x 4 = 20 IS also the number of connections between all the 5 elements and 4 elements of both sets. So multiplication ads either a dimension of multiple sums in the same plane, or probes for the first time in an inner scalar dimension.

  • Then we arrive finally to the potency-root systems and integral-derivatives, which operate fully on the ∆§cales and planes of the system, which require two slightly different operandi. As §¹º ‘social decametric scales’ are lineal, regular, so we can operate them with potencies, roots and logarithms.
  • ∂∫ But when we change between scales into new wholes and new planes of existence we are  into ‘a different species’ and so we need to operate with the magic of finitesimal derivatives and analytical integrals, which keep a better track of the infinitesimal ‘curved’ exponential changes that happen between two planes, where linearity is lost.

We refer the reader to the post on algebraic operandi to fully grasp the range of operations that those dualities serve.

Here we shall be concerned with the use of those operandi to calculate the basic laws of topo-biological systems.

Block of time.

 

In the graph, time is a block, but the proper way to interpret it as such is not the lineal ‘single plane’ block of Einstein, for if future does NOT connect with the past, it does not repeat itself, neither the ∆-view of determinist Laplacian time, as time does have ternary probabilities of branching, but the cyclical self-contained block of time, either in its ternary view of a pi-cycle that returns to its origin, or the somewhat more coherent ‘dice’ view, of a block of time with 6 alternative possibilities or ‘species’ of future, the 6th isomorphism based in the 6 possible ‘orientations’ or hierarchies between the S, T and ST physiological networks that define the being as dominant species of information, following/choosing that path, energy or entropy and its 6 hierarchical orders. Once those 6 combinations, s-st-t, t-st-s, st-s-t, st-t-s, s-t-st, t-s-st exist either in space as ‘species’ or in time, as ‘paths’ all the elements of the block have been created.

Finally to notice that the concept of simultaneity, which is what Einstein uses in his concept is relative to the speed of perception of the observer who might see a longer present, if it is a slower mind. So the absolute block of time, would be the paradoxical perception by the slowest possible mind of the whole range of existences in a quanta or ‘cycle of its own perception that happens in the last image when the circle of mapping reality comes to the repetitive red point after gathering information and then a still image occurs.

It is similar to the way a screen tv maps out all the pixel of an image moving the electronic cathode but we see it all together in a still mapping, so the absolute block of time, will be ‘God’ the slowest being, seeing it all in an absolute repetition of all possible limited combinations of the Generator as a block of time. Existence then as a block of time depends also in the detail of our perception, since in great detail the number of events are infinite entanglements, but if we do not see in great detail, blocks of time appear to our mind.

In the graph we see the concept of a block of time. If our ‘scanning of information’ lasted not a second as the human mind mapping does to create its spatial stillness but a year, we would see the image of a block of time for the earth, void of detail as a disk, and wonder if we know it all about the Earth, a mere disk. So indeed the perceiver of the whole Universe is actually a very slow thinker and a very undetailed dumb perceiver. We humans are in that sense ‘blocks of time’ in the perception of the much faster gravitational scale between galaxies, v>c and indeed we see in simultaneity a block of time, at that faster scale in our slow view with no detail.

So all minds perceive a block of time in the limit of its slow, dumb perception. – its subjective definition of vacuum space…

 

NON-Æ DUAL AND TERNARY LOGIC.

The 3 conserved forms of the Universe, angular and lineal momentum, and vital energy form in the fractal Universe the 3 parts of a T.œ or fractal point, Non-E with an inner volume of space-time through which multiple parallels can cross. The rules of geometric and biologic engagement of those points to form waves, networks and topological organisms, define the non-æ bio-logic of the organic Universe based in the a(nti)symmetric laws of similarity, parallelism and perpendicularity expressed in 5 ¬Æ postulates that substitute the classic axiomatic method of definition of logic and geometry.


We 
shall start slow on the principles of the fractal Universe. The first being never better explained than in taoism: there are in the Universe an ∞ number of fractal beings made of 2 or 3 elements,which are in modern jargon the conserved cyclical momentum of clock-like membranes, which give us form, the lineal momentum of motion and the vital energy enclosed between them or product of its ‘zero sums’ through a full cycle of existence.

So duality ($t≈§ƒ) and trinity $t< ExI > §ƒ, is all what we need to describe a present, relative single plane of existence and the ensemble of beings constructed with them:

And it follows that the 3 conserved quantities of physics are merely ‘broken’ in the fractal Universe in infinite particles/heads/clocks of time with angular momentum, limbs/potentials with lineal motion and hyperbolic zero-sum vital energies between them, giving birth to our Generator equation: $t < ∑∏> §ðƒ, that describes all forms of the Universe. We shall then consider duality and trinity and its multiple cases across the different planes of the Universe.

‘E pur si muove e pur no muove.’ Galilean Relativity.

As Plato clearly stated humans are visual minds and have therefore a very difficult time when dealing with time=change, simplifying it, and often reducing it to a ‘dimension’ to measure space, distance… and its motion in space, v=s/t.

And this happens with the added disadvantage that Humans LOVE to think they know ‘truth’, and so they eliminate the interposed mind languages and perception elements from its assessment of the information of the being, whose total truth, ‘1’=one, only happens in the being in itself. All other ‘truths’ are human languages mirroring the being with lesser information than the ‘1’… and biased by the language’s syntax, including visual mirrors. This a priori conditions must be known before we can restart science from scratch, correcting the first sentence that begun modern science, as it shows the basic limit of our mind as a still ‘spatial’ mirror=language of a ‘moving’, temporal reality.

Since the mind either sees reality moving or still but not both at the same time. While in the Universe both, the space and time states co-exist.

So the mind tends to deny motions of time to all beings, and so it reduces its organic properties, to simplify information enough to fit it in the reduced brain of the being.

We shall do the opposite: to increase step by step the dimensions and hence the volume of truth of all systems.

So we correct the most famous statement of Galileo: the earth moves in time and doesn’t move when perceived in still space.

But GALILEO didn’t express the real duality of formal still space and moving time dimensions -‘The earth moves AND doesn’t move’ – but it took a single choice from its one-dimensional mind-world: ‘the earth either moves or doesn’t move’…

It was of course, the best choice, the one with more content of truth… if we had to take one, as time-motion is all, and space-form a slice of time, or a Maya of the senses.

This first duality shows how the mind’s languages influence and reduce truths – the being in itself with all its dimensions and properties, into human languages, by stopping the infinite ∆ðime cycles of reality into Spatial @forms.

Deterministic cycle vs. individual, lineal freedom 

The second duality is far more profound. It concerns with the fact that as time or space grows, lineal, open free paths become closed deterministic cycles; and this can be observed in every scale of Nature when we ‘grow in perspective’. The multiple effects of this duality happen in all scales. It was found by Lobachevski in non-euclidean geometry, as the flat space should become curved. Already Kepler noticed that any step of a lineal motion will curve at the end. In life we choose our actions but at the end all come to a closed zero-sum worldcycle. We borrow our time to give it back to the Plenum. And as time and space are symmetric we can perceive this in space as a curvature that sequentially brings any point to its starting origin and in time as a closed path towards death. 

In the graph, several sequential paths that become world cycles  In physics we can talk of free momentum paths and closed energy cycles: the two momentums have degrees of freedom (lineal and angular momentum) as they switch on and off, S->t->S paths which however in the fifth dimension of parts and wholes, closes an energy cycle, which no degree of freedom. 

The part and the whole. 

In general we perceive space in a single Plane through the ‘3 states of matter’ or 3 ages of life and so it is not always so evident that paths will be closed, as they seem to conform to a single lineal arrow, and as events don’t repeat in a single path, they seem memories, free. But for that reason the 5th dimension ads enclosures to create determinism.

Determinism means ‘enclosure’. The wave diffuses and smears if it does not have a particle enclosure. Lineal waves then appear as the lineal path and particles as its deterministic guidance. Bodies are chaotic in search of smearing pleasure and entropic feeding, but the cyclical brain guides it. It is then when we complete parts and wholes when the full duality expresses itself.

So those two other physical dualities whose importance to fully grasp in depth the ‘real properties’ off beings, can hardly be stressed:

The duality between wholes, which is what humans seem to see more often and its smaller parts, which we do NOT see in a single space-time ‘continuum’, but are always there, defining 2 new more dimensions of space-time, the scalar ‘finitesimal’ smaller dimensions of parts, which we shall call the entropy dimension, and the larger dimensions of wholes, ‘pegged’ by the mind’s perception, both internally (the informative ‘singularity’ of the system that maintains its synchronous structure) and externally (the perceive). We shall call this dimension the fifth dimension.

And the duality between lineal and cyclical forms, which turns out to be one of perspective, as we see ‘flat’ the Earth from an ams all view, but as we grow in scale it reaches curvature to become a sphere, which will be also very important to understand ‘closed and open’ systems, ‘deterministic and free’, ‘curved information whose maximal storage happens in spherical forms and lineal motion maximized by straight lines’.

But again we observe that those dualities also connect with the duality of motion, which is perceived as translation of space, hence of waves, vs. the steady repetition and crossing of a point which is perceived as cyclical angular repetitive momentum. So – and this is a fundamental feature of the symmetric kaleidoscopic Universe humans have so much – dualities are symbiotic to each other, parts long for lineal memoriless free motion; wholes for cyclical, repetitive, enclosed form. 

Parts and wholes…

are therefore the 3 key duality of reality: we can see things as wholes and then they seem deterministic as they work simultaneously or as parts in a larger space-scale and they seem free, each part going its way:

Both in time and space, paths which are multiple and seemingly free, collapse into points by integration.

The 3 dualities: motion vs. form, line vs. cycle, part vs. whole.

We illustrate the symmetry of the ternary dualities of the Universe with another finding of Maese: In the graph, Saturn’s rings, first observed by Galileo, seem continuous, still and bidimensional from far away; but observed in detail they become discontinuous in motion and made of 4D sherical particles.

Dualities in that sense come in ternary sets of spatial dualities, temporal dualities and scalar dualities. And so the interaction of 3 and 2 of trinity and duality is essential to all. 

Moreover, what appears as a single space-time continuum in detail becomes at least 3 scales: that of the rings with cyclical motion, of its particles, the rocks that turn within them and the not seen but known scale of atoms that create the solid networks of those rocks.

Hierarchical, nested, inverted symmetries.

It IS also important to notice the nested symmetry of hierarchical enclosures, which contradict what was a tendency inverted by the higher scale.

This again is an I-logic feature of reality missed too often by the lesser intelligence of the one-dimensional humind; which tends naturally as Plato noticed to lineal e-vident, single plane-perception, of detached parts, as we do NOT perceive the in-formation flows that form reality and are often hidden in faster lower scales (nervous systems, gravitational invisible forces, flows of money – in biological, physical or economic systems).

In I-logic however if A is B IT MIGHT BE that from another perspective of the Rashomon effect is NOT B. That is, from inside the ∆-1 parts might seem free, from outside, the larger ∆º enclosure breaks its freedom. They might seem lineal but in the larger view, we only see the cyclical enclosure; and so a fundamental antisymmetry arises, such as when we grow in plane-scale the function-form of beings change – including the whole, which is king of its inner territory but a point-particle in the larger ∆+1 world.

The virtual zero sum of it all.

So all those contradictions make us wonder, why? The answer is deep: reality is virtual, it could as well not exist at all. It must be balanced, all books kept to zero; no single point impose its will; all trip through the 5th dimension and its metric return from order to entropy. And only with the wholeness of dualities, trinities and 5Ds all makes sense, but it will require given the absolute minimalism of philosophy of science today a whole new age of thought in humans or robots for this upgrading to work.

The 4th and fifth dimensions deal with a longer duration from the absolute past (birth of the entity) to its absolute future (its death), when evolutions of form, frequencies of multiple actions and cycles of creation and extinction happen.

Yet both things are truth, and both are needed to understand fully reality, doubled by the fact that we consider each dimension in stillness, a space dimension and in motion a time dimension… And when put together they DO create the motions with form or LINEAL MOMENTUM (max. motion), CYCLICAL MOMENTUM (max. form) and its integral through a stretch of time space (energy), which the Universe conserves, giving us the first sight on the generator of all dualities and trinities of the Universe:
$t-lineal momentum (potential/limbs) <  ∑∏: body-wave of energy > ð§: Angular momentum (Heads/particles).

ASYMMETRIC DUALITY GENERATES

SYMMETRIC PARALLEL COMPLEMENTARITY =TRINITY OR ANTISYMMETRIC=PERPENDICULAR DARWINIAN UNITY

So how the connections of the Universe play themselves? Simple: we depart from two asymmetric elements, the line and the cycle, the small discontinuous herd and the large continuous one, the motion and the form; and then they might come together as a single form ≈ which will be symmetric with itself, in its two parts, as body-wave, as a present co-existing network, that puts together parts and wholes, as a curved, hyperbolic geometry and so in a complementary FASHION they become one.

Or if the symmetry fails, they annihilate each other or one annihilates the other and absorbs it, in a perpendicular way.

The need for space-time together as an observable.

The Universe is made of space-time systems.

As Minkowski put it, ‘only space and time together survives’, or as the old taoists said: ‘all drop of yin has a drop of yang’…

…meaning pure motions (entropy) without form is not perceivable, as it appears only as distance or dilation – and this is call vacuum for the whole Universe; and pure form without motion is neither, as it cannot be communicated to the external observer and this is call Black hole in the galaxy.

 The inverse=asymmetric properties of spatial energy and temporal information come together in ternary symmetries.

Screen Shot 2016-05-06 at 00.20.15

In the graph, the most important function of the Universe is the inverse function between Spatial expansion and Temporal Implosion in its infinite manifestations.

Duality: Sp-Entropy, the arrow of disorder erases Tƒ: information, the arrow of order.

Duality is the science, which studies the universe with both arrows of time, spatial entropy, the arrow of disorder and death vs. temporal information, the arrow of order and life – as opposed to physics that uses only entropy as an arrow of time.

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.

Cyclical In-form-ative time, Tƒi       +      Lineal moving Space, ΣSpe    = 0-sum vital Energy

Yin         +                Yang              = qi
clocks:angular momentum     +       Space motion         =           Lineal  momentum
Small, still             +    Large,  moving fast      = Momentum
Tall, Perpendicular         +        Long, Parallel        = Reproductive width

Hierarchical                   +           equalitarian       = Capitalist  Democracy
Bidimensional   Height                 +            Bidimensional, Length,

Repetition                       +                   Width-Growth
Cyclical, Rotation, imploding         +            Lineal, uncoiling, exploding
Informative Frequency                   +               Lineal Speed
Broken form                   +             Continuous, differentiable
Intelligent, perceptive                     +                         Strong, fast.

Social, organic, creative     +           Darwinian, destructive behavior
Future, evolved predator               +                 Past, energetic victim.                     = Present
Life arrow                   +                    Death arrow.               = zero sum world cycle
Particles of Time.         +                   Reproductive waves.            = quantum systems

Female, Informative reproducer       +              Male, Particle principle                = Reproductive system
Masses, charges                 +                       Force potentials             = Physical System
Heads  & senses           +x                       Limbs                                          =  Bodies

In the graph several combinations of motion and form (also motion but of angular momentum), which combined into energy beings.

The dimensions are thus 1 for lineal motion, 2 for cyclical form and so 3 for Energy, which can be considered a sum of the 2 other elements (though the operandi to relate angular and lineal momentum, limbs and head with bodies will vary according to the phenomena we study).

Often in fact we shall use the product to combine them (for the meaning of each operandi look at our post on non-Ælgebra).

The rule being that when we merely peg adjacently a limb-particle system we add it, and when we combine them at the lower ∆-1 scale also we multiply it. I.e. a system of 3 elements and 2 elements will have 3 x 2 possible axons combined each element with all the other elements of the different set. So multiplication combines a system in a lower scale (and it is used for particles), and sum is a superposition more shallow in a single scale (and its proper of waves).

This resumes in its two fundamental equations: e x I = K (that describes any complementary system of energy and information,  in space) and E<=>I (which describes it in time as a series of flows of transformation of energy into information), since E=I maximizes a product of E+I; and so we do have now 3 basic relationships E+I, E=I, and e x I to get a functional balanced form communicating across two scale.s

In physics it followsthose laws are always of the type ‘superposition’ for waves that ad, and product for particles: ST = Space quanta (H, k) x Time frequency (v, T).

So we can easily derive the fundamental laws of quantum and thermodynamics and the meaning of its constants, with the left side equation (which the nuclear physicist will immediately identify with the decay rate of an atom, and the ‘entropic believer’ with the Pv=nKT law of gases).

In that regard, we have now a better mirror theoretically to understand the Universe, with 2 arrows and its energetic combination, so we just need to apply it.

This sound-sound theory of the Universe, IS called Duality, the science which explains reality with the 2 arrows of time, lineal entropy and cyclical information, form, stored in the frequency and form of those logic closed circuits and ‘clocks of time’ of which brains, particles and chips are made.

It has always been with us, for simple humble people to wonder, since even the smallest atom follows it laws. So taoists called yin, information, yang, entropy and its ∞ combinations the creative energy of reality.

Duality as we said has always been in the tradition of knowledge, as it is obviously truth. Specially in Asian cultures. So Hindi called the 2 arrows of time, the female, informative principle, Visnu and Shiva, the God of entropy and death; and its ‘energetic’ combinations the ‘hairs of Brama.’ Duality is everywhere, from the computer you are watching made with binary languages of ‘O’ and ‘|’, to the duality of body and mind, female with curved bodies and males with lineal ones; and then when we look at it in depth, trinity, its combination comes (even there is a gay sex that mixes qualities of both).

The only discipline of science which is ‘entropy only’ and has ‘entropy only theories of the Universe as dogma’ is Nuclear physics. Even if of course duality is all over physics, albeit not expressed in terms of time arrows. So for example, a time cycle which is represented by ‘frequencies’, appears in physics as the ‘inverse function of lineal time’: ƒ=1/T.

The constant transformation of one into another.

Despite their inversion, and this is the most important law of the Universe, energy and information constantly transform 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 4th paradigm, widening the principle of conservation of energy:

‘All motion, trans/form constantly back and forth into form, combining into energy beings, E<=>I’

Motion and form are the 2 primary elements of the Universe, which combine into complementary systems of energy. And those 3 ‘conserved elements’ akin to lineal, angular momentum and energy, broken into infinite fractal parts can then be ensemble to create the systems of the Universe with limbs/potentials, body waves and particle-heads that exist between its dissolution into ‘scattering entropy’ or its social evolution into tighter wholes. THAT SIMPLE IS REALITY when expressed with the dual->ternary->5D principles explained in this blog.

In this posts we study its basic properties and dimensions. In the graph, they display different forms. But information dominates and defines an arrow of complexity and increase of height (the dimension of perception), from where informative organs (heads, cameras, black holes, skyscrapers), perceive and control with invisible languages (words, images, gravitation, money), the ‘unmoved bodies’ of energy under them. They are indeed what Aristotle called the multiple unmoved Gods of the Universe.

The 2 primary elements of the Universe, lineal motion (lineal momentum) and cyclical form (angular momentum), mix and evolve, till reaching the threshold of complexity that gave light atoms living properties and now it is about to give the same life properties to metal systems.

In the graph, in biological and morphological terms, we can easily recognize the ‘limbs and heads’ of humans, animals or machines, because they have a clear morphology, which corresponds to that of generic energy and information.

Entropy is lineal because the line is the shortest distance between 2 points; and so it is also the fastest energetic movement. Information has cyclical forms, because cycles store maximal information in minimal space.

For example, a human body and a machine body, a weapon, should not have anything in common; but if we observe the morphology of both, it is clear those morphologies correspond to the generic morphology of all energies: they are big, lineal systems that move in space. So our limbs are lines extended in space like a ‘missile’.

On the other hand, our eyes and brains are smaller and cyclical, like the cameras and chips that act as information organs in machines, ordering ‘limbs of metal’ with digital information. The functions of those ‘systems’ are also biological. Weapons are lineal, energetic forms that kill human beings.

How those four ‘logic dimensions’ of motion, information, stillness and entropy recombine is the truly fun moment of creation in time. As all combinations are possible departing from the first antinomial dualities:

Space vs. Time, words so confused in different human jargons that are kept mostly for tradition:

Entropy=expansive motion vs. Information=Imploding motion

Space=stillness vs. time=motion, the most used definition for them, which gives birth to:

Mind-intelligence-synchronous space vs. cyclical time motions, with its two inverse arrows.

This is the ultimate conceptual duality, that between the magic harmonious creation of minds of space vs. Temporal, mindless motion with its automaton deterministic cyclical order.

Mind-synchronous space vs. time motion

Mind-intelligence-synchronous space vs. cyclical time motions, with its two inverse arrows, taking away the reproductive cycle from its motion steady state is the duality in its most conceptual meaning.

The confusion arises because it is possible in Ælgebra, existential algebra, create all kind of paradoxical ‘dimensional beings’, combining the antinomies described and observed in reality.

In a Universe of vital ratios of the type S operandi T, all kind of antinomies create a latitude for a scale of ratios, which becomes then in each of those antinomies, the origin of the scalar relative absolute ratio universe.

Difference between Philosophy of science and Physicist’s worldview.

So to end this post, a small analysis of the HUGE gap between the work of a philosopher of science and that of physicists in the understanding of the Universe, as a game of singularities and its mirror languages, WHICH IS far more profound in the philosopher of science than the physicist because:

1) we both now the same maths (yes I know all their maths, perhaps not with the same absolute detail of Mr. Penrose but good enough to admire deeply the real masters and spot the faked ones – De Broglie NOT Bohr, Lindau NOT Hawking and so on… though of course I bitch about it)

2)But physicists after laughing at all ‘verbal thinkers’ from Aristotle to Darwin have no fuking idea what they talk about when they talk about TIME=MOTION=CHANGE MODES (of which there are 5-> ergo 5 dimensions), SPACE=motion stopped into simultaneous form by a mind (of which there are therefore also 5 Dimensions parallel to those of time) etc. etc. So all what they can do IS MAKE  machines then make MEASURES OF SPACE and time, PUT IT INTO EQUATIONS AND THEN talk with peanut brains bull$hit in verbal concept thought WHICH IS HOW HUMANS perceive the feeling of knowledge (cogito ergo sum, not vidi ergo sum). And there is where they mess because. THEN THEY CANNOT INTERPRET WITHOUT UNDERSTANDING THE CONCEPTS THEIR EQUATIONS RIGHT.

If you have the concepts right the EQUATIONS REACH A NEW HEIGHT OF ‘PERCEPTION OF REALITY’.

Consider for example the trivial solution to the longest dispute of physicists between Bohr – the Universe is probabilistic and Einstein – the Universe is statistical. IT is a false argument, because in the ∆-3 quantum scale it is better described in probabilities of time and in the ∆-2 thermodynamic scale is best put in spatial terminology; because time is motion and quantum scales in 5D (s xt = k) is faster, than the larger slower, thermodynamic scale, which is better described with the equivalent spatial description:

So there IS no DISPUTE between Einstein and Bohr, the Universe is not EITHER probabilistic in time (the 0-1 mathematical unit sphere after normalization of parameters) OR STATISTICAL IN SPACE (the 1-∞ thermodynamic plane). BOTH ARE EQUIVALENT MATHEMATICAL FORMULATIONS (measure theory), the 1-∞ plane is better for slower LARGE thermodynamic ensembles that occupy more space. THE time o-1 description IS BETTER FOR faster ‘clocks of smaller particles’.

Since smaller time clocks close its cycles faster, HENCE their speed of time-processing of information is FASTER, reason why paradoxically our genes code our larger bodies, our memes code the planet earth, and quantum numbers code larger ensembles: SMALL IS CLEVERER…

5D scalar metric: smaller scales in space run faster time clocks, so both together S-izes x T(clocks) = Constant, are co-invariant: definition of a dimension of space-time, as per Klein’s XIX c. mathematician: ‘a dimension of space-time exists, when there is a mathematical metric equation that shows both parameters co-invariant, so we can move through them…

so we move through the 5th dimension of pace-time of scales, GROWING IN SIZE AND DIMINISHNG YOUR TIME CLOCKS, FROM BIRTH, AS A FAST SEED OF time, small in space, that slow downs its rhythms as it grows in size and emerges in this scale you call 4D space-time continuum… LIFE IS A TRAVEL through those SCALES of the fifth dimension… AND THAT IS THE MEANING OF ‘EXISTENCE AS A SPACE-TIME ORGANISM’, the ULTIMATE QUESTION to know…

i know thoughts of GodTHE REST ARE DETAILS.

Each of those details is then exactly the type of symmetry we used to explain the o-1 quantum sphere, MIRROR-MIND of the larger thermodynamic ensemble. Each still language perceives in itself ‘knows’ its codes, its images, and then projects it into the reality around. The DNA IS being in space. As your mind IS by virtue of the focus of its still image, an IMAGE IS PERCEPTION IN ITSELF, FOR EACH QUANTUM moment OF STOPPING PERCEPTION, then it IS WILL as it projects that stopped perception in a reversed symmetry in the local territory it orders.

_____________________

Notes

1 Leibniz’s Monadology defines a fractal point but simplifies them, accepting no communication between points and so fails to create a correct model of non-Euclidean geometry as points constantly communicate forming networks, closer to the philosophical Atmans of Buddhism. The fractal geometry promoted by Mandelbrot, a self-recognized admirer, drew on Leibniz’s notions of self-similarity and the principle of continuity: ‘natura non facit saltus’. Mandelbrot would say, “His number and variety of premonitory thrusts is overwhelming.” Leibniz also wrote that “the straight line is a curve, any part of which is similar to the whole,” anticipating the fractal, non-Euclidean topology explained in this book for more than three centuries. One of his metaphysical principles is of certain importance in this crossroads of history, the principle that the Universe must be the most perfect possible, which seems to imply that we humans will not make the “cut” given the enormous degree of arrogance, ignorance, and despise for nature and the “perfect laws” of that Universe.

2 There are 2 forms of (homogeneous) non-Euclidean geometry, hyperbolic geometry and elliptic geometry. In hyperbolic geometry, there are many distinct lines through a particular point that will not intersect with another given line. In elliptic geometry, there are no lines that will not intersect, as all that start to separate will converge. In addition, elliptic geometry modifies Euclid’s first postulate so that two points determine at least one line. Riemannian geometry is the best-known elliptic non-E geometry, which deals with geometries which are not homogeneous, which means that in some sense, not all the points are the same. Thus, those geometries later used by Einstein and Minkowski to describe space-time did have the seeds to understand fractal points of different form and size in which multiple parallels converge. Yet till the publication of  Time Cycles (Editorial Arabera, 2004), which adapted the five postulates of Euclidean geometry and fused the concept of a non-Euclidean point and a fractal point, there was no exhaustive model to study with the same laws the different topologies and scales of the Universe.

3 Mr. Eames in his classic film ‘Powers of 10’ shows how in decametric scales suddenly Nature reorganizes its information into new complex organisms.

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