Home » ‘¬Alogic= » ¬Æ epistemology

® epistemology


How to jump from silly-nilly science into ∞ depth of stience.
The big problem then is how to help the humind scientist to expand its view to the stience of reality, crafting a few more ‘elements’ of the scientific method and connect them with classic concepts of truth. As huminds need some simple processes to perform knowledge – nothing else is the scientific method but a series of steps, pedestrian, repetitive and boring measures encased in simplex models that give us some parameter useful to man, as the measure of the speed of an electron with a voltage circuit and a modeling law of resistances, impedances, cycles of alternate currencies, etc. Arguably that is ALL WHAT MATTERS because who cares for the electron as long as it moves our machine?
Yet for other processes it might be interesting to know the whole picture or at least to enhance the science of it.
So, we MUST ad those NEW elements or Ðisomorphisms to the scientific method and as usual, given the growth of complexity required, we try at least to use a mnemonic pentadimensional rule to this expansion of the logic of reality, called Existential Algebra, or ¬A(bcd)E stientific method (ab. ¬Æ).
The enhanced ‘ABCDE‘ Principles of the Scientific method ad the properties of scalar space and cyclical time (Ðisomorphisms) and the B-iological, organic models derived of it, and the Non-AE, ¡logic structure that comes out of the multiple nature of time-space Ðimotions to the classic elements of epistemology:
 A-ristotelian logic, D-ata, C-orrespondence Principle with proved models and E-xperimental method that allows to hypothesize and predict the future of the species studied.
Contrary to belief, it is not part of the scientific method the use of mathematical languages, as the only language of science that the method truly acknowledges is logic, from where modern logicians have deduced or disproved all the statements of mathematics – the belief that maths is the language of God is just an ego paradox of physicists.
Of course we do acknowledge as the best language of science, logic, albeit of a higher quality than present @ristotelian logic (¬A logic) and we ad topology as the best language to express the dimensional motions of space-time, albeit of a higher order than Euclidean mathematics, and the reduced non-euclidean mathematics of present huminds, which only changed the fifth postulate (we shall change all the axioms and congruence postulates converting geometry truly in a non-Euclidean system).
So we shall also include in this ‘brief ¬æ method the laws of what we consider a more proper logic and mathematical system to mirror with a better focus the properties of reality.
So to ‘the classic elements of epistemology’:
Aristotelian logic consistence’, which still works for @-mind analysis…
– accurate realist Data so often forgotten in social sciences and creationist mathematics…
Correspondence principle and Cyclical predictability, which is the origin of classic scientific laws, now fully explained by the cyclical nature of time…
-the Experimental method with its proved ‘Economicity’ (the universe is simple and economic, using only those elements we know to be real, often called Ockham’s razor) the ad ons caused by cyclical time and fractal topological space, are in the non-Æ scientific method:
Non-Aristotelian, cyclical pentalogic caused by the cyclical nature of time and its 5 motions.
Non-Euclidean i-logic geometry, caused by the topological scalar nature of space, where each point ‘holds a world in itself’.
Biological, organic properties and models, caused by the scalar co-existing structure of fractal space.
–  Disomorphisms, caused by the homologic nature of all beings made of space and time, wraped up in the Disomorphic temporal method (a dynamic analysis of the system as it is generated by a seed of information, emerges as a super organism and lives a world cycle) or in its spatial, SYNCHRONOUS version – through the analysis of the system AND its 5 entangled DIMENSIONS-ACTIONS-MOTIONs-ELEMENTS, we call the ‘Rashomon effect’ of multiple truths.
All this, ¬A logic, @ristotelian minds, Biological properties, Correspondence, Cyclical laws, Data and Disomorphic method, Economicity, Experimental method,  ¬E mathematics, fits between ¬A@,bccdd, ee and ¬E.
So that is we constantly abbreviate the rules of truth in the ® logo.
Of course classic Epistemology ads a few other rules, the Ockham rule which is embedded in the concept of economicity, more precise in its terminology, the predictability of any scientific model that must predict the future and allow further hypothesis to be proved, which is embedded in the cyclical nature of time that therefore must predict future events if the cycles are properly described.
And the fashionista rule of Popper’s verifiability, which is embedded in the experimental method – all experiences and data must fit on the model, but for those pedantic scholars so in loved of the obvious explained with weird terminology we might call it ¬exceptionalism… that is not a single exception to the model.
And so we can include it as the 11th rule of the ® method.
I am inclined to do so and make an exception to my rule of autism – that is, to be inconsiderate with the egocy (ego+idiocy) of most academia, recognizing this to be a fault of my own ego. We must indeed correspond with the serious truths of the subconscious collective mind of mankind in search of reality and reason.
So yes! we all know Popper’s musings that the black Swan breaks the rule that all swans are white and proves it false; and accept it. In fact non-exceptionalism is THE TRUE, LAST AND FUNDAMENTAL RULE I have used all my life TO PROVE ¬Æ right. It has guided 30 years autism and lonely enjoyment of the Tao… as I have never found an exception, Law, event and form in Nature and Man, in mind and matter, which I could not explain with the GST model. 
Plus this gives us 11 rules, the magic number that transcends and emerges from the infinitesimal 1 to the relative infinite ∆+1.
11 rules establish thus the new non-Æ method of stience: ¬A@,bccdd, ee, ¬e ¬E ≈ ¡logic method, the next vowel after the non-a and non-e.
And its purpose is to describe any event or system in its most ¡logic stringent form… and break the simplistic ae-logic of huminds who believe a truth is so reduced as simple as its ceteris paribus single analysis of reality. So in terms of truth, we can say that a truth to be real needs multiple perspectives, which is the Rashomon effect:
The reader of course has a mind schooled in the single causality of lineal Aristotelian time, A->B and the shallow geometry of Euclidean lineal dimensions AND THE shallow evidence of a single continuous spacetime.
So for him it might seem unneeded to fully search for 5 Dimotions-actions-points of view in the analysis of any event to discover the minimal causality of its existence, but that is precisely the huge handicap of huminds doing science – little-big egos jumping up ‘me, I an myself has the only answer.
Not so: to explain anything in the entangled Universe you need the confluence of at least 3 ‘topological elements/timespace forms  in a single plane of existence, 3±¡ planes that influence the event from above and below and the whole, and if we were to fully grasp the event, its past-present and future states as a block of time. And correct the errors of the @mind, and on top deny all this at the point of entropic death when the being ceases to exist.
If all this was acknowledge, then, there wouldn’t be the absurd clash of egos between scholars each one studying a ceteris paribus cause of the polidimensional Universe and saying this IS the only cause. On the contrary they would greet each other for finding another of the 11 elements and 5 perspectives trying to accomodate them all, relishing on their paradoxes.
If I only could erase that ceteris paribus plague of egocy (ego+idiocy) proper of the humind and teach the multiplicity of perspectives, it might be possible to expand your understanding and belonginess to the entangled Universe and the World with which you are connected.
 So for each article, we must consider AT LEAST the perspectives of those ∆±i scales and the 3 topologies of the ‘central plane’, ∆ø, where the event happens as a whole. This bare minimum (as the full blown understanding requires all the information of the past-present-future world cycle or block of time of the entity or event), implies to consider reality from the point of view of the 5 Dimotions of the Universe; as the entangled Universe always requires to understand reality from those 5 relative Topological Dimensions with motion=Dimotions=Actions of space & time to fully account for the simultaneous, multiple perspectives of reality.
So the ‘original’ two steps of the scientific method get more complex.
The first step – collection of accurate data now should include all those ‘subtle’ flows of information and energy that come into the event – for example in Physics flows coming from other scales as in the Kondo Effect; in our daily ‘free’ life, the constrains imposed by the ∆+1 state or world in which we exist.
Constrains of which physicists are truly aware when finding solutions to its equations, are the key to the determinism of reality, coming from the larger and smaller planes of the T.œ being.
Then when modeling- to find a causal explanation for an event – we cannot do ceteris paribus, or rather we should at least do 5Dimotional analysis of the 5 converging ‘elements’ of the being, NEVER existing as an isolate.
Finally in the most abstract level of modeling – that of the Ðisomorphisms of any T.Œ , or theoretical extraction of general laws common to all spacetime events/beings, according to the disomorphic nature of reality – we shall find examples always from the 3 great sub disciplines of human thought, Physical, biological and socio-economic systems, which is how we will include the non-exception rule. In fact this reduces to two kind of systems as we are talking in a language, so the discourse of the text is the example that the language also mirrors the property. And as we include social systems into biology, we often escape them, except when studying specific social systems. For example its 3 classes, the informative people-caste on top on command of the languages of power, its working, reproductive body-class and its limbic, entropic territory or enemy, poor, unemployed class, are mimetic to the 3 elements of an system, made of limbs/potentials of entropy that have lineal/flat topologies, as the fastest/shortest distance between 2 points, reproductive body waves and informative particle/heads.
So yes, human systems are homologic to biologic and social and mental languages all also with ternary syntax in their Universal grammar. But for sake of brevity and to avoid rising eyebrows of egocy when comparing humans and its societies with atoms and beasts, the non-exception rule is shortened.
Still we shall search for experimental evidence, NOT only as in classic thought within the restricted species we study but at least in physical and biological systems.  So in the previous example of limbs and its topology, we shall indeed find forces to be flat electromagnetic perpendicular planes in physical systems; wings to be flat and triangular in biology, and flat and triangular in socio-economic airplanes; as they are all ultimately ‘topological forms’ that keep emerging in new planes of space.
So this ¬ABCD¬E mnemonic rule will allow us to study with a much more complex view, far more exhaustive and explanative, and at the same time far more relative, the reality that surrounds us.
And finally when all this is ideally done (please don’t expect me to do it all by myself, at this age, alone… this blog, we shall not cease to repeat is my attempt before my many sickness send me packing into Nirvana of leaving a ‘trace’ in the sand of thought, for others to build better structured castles)… as an appendix, we will try to write the main laws of all stiences with the ‘warped’ package of non-Æ i-logic equations.
So we get the FULL ¬A(bcd)Extraction of all the knowledge huminds can get of the being, which of course will NOT be all, as only the being has all the information into its self.

The formalism of the fractal ∆§t±¡ universe is I-logic Geometry and ¬Ælgebra (existential Algebra), the 2 most used terms to describe the topo-logic structure of a Universe of fractal spaces and temporal energy. Existential Algebra is my favorite term, for all what has to do with the symbolic equations of non-Æ, I-logic geometry. So those are the wor(l)ds of most often used. ¬Æ, the best abbreviation.

The equations of ¬Æ are those of Dimotions of time§paces.

For example, V=s/t is a ¬Æ equation, which we must interpret better in terms of Ðimotions as:

Constant lineal inertia (motion) = $(λ) x ƒð = K

A case of the most general Metric of all possible time space demotions, ‘SxT’=K.

How many times of equation of Ðimotions of space-time there are, how much are related to the fractal generator, as all of them are sub-cases of the generator, how to connect them with the equation and laws of each science is the formalism of the stience of exist¡ences.

In terms of language it means as each of those dimotions is better studied with a certain language of the humind that we need to ad to the mathematical languages, verbal, logic languages, and bio-logical, organic ones; and finally metaphysical sentient/sensation-related concepts, which of course, the ceteris paribus egocy of scholars will shun off. Each humind has its own egocy perspective and we deal with that in our analysis of the equation of the mind, an infinitesimal mirror of still forms that believe to be infinite. 


As the fractal generator departs from the description of Ðimotions that then are either aggregated or through operator functions transformed into different states and demotions, certain elements must be conserved, i.e. the being in itself, the Fractal point internal S=T parts that define its existence within limits of ±S and T for the system to ‘co-exist’.

When this doesn’t happen on the limits of its ¡metric equation, Max. S -> T=O or max. T->S=0, we talk of the two limits of death of the function of existence:

  1. (Max. S x Max. T=Max. ∑SxT)|s=t

This is the Motion of reproduction and healthy growth for a function s=t, which keeps churning at S=T new ST, which maximize THE DIMOTION. Reproduction takes then the primary role in all other Motions.


The ternary principle…

…follows closely the Rashomon effect, when we eliminate the more subjective, linguistic mind-element,@ from the equation and provide only an objective external analysis of the being. Then we shall find that we can divide always the being into further ternary parts, or include it within a ternary part of a larger whole of its world. And so the ternary and rashomon events combined, bring us…

∆@S≈T ¬Ælgebra: the fractal generator.

The formalism of the super organism, the ‘fractal generator’ is a topo-bio-logical equation which reflects the ternary symmetries between scales, topologies and ages of a super organism, and its time world cycle. As a fractal generator, is a deceptively simple equation, as a logic mirror of the Universe and its parts, a tool of mathematical logic to study the common properties of all system of the Universe.

Now a great deal of mathematical physics has to do with the understanding of the inner structure and non-Æ formal relationships with the fractal generator of the supœrganism, and mathematical physics is not an exception.

The fractal generator is the formalism of the supœrganism. NONÆ LOGIC IS THE SEQUENTIAL AND SIMULTANEOUS SPACE-TIME TOPO-LOGIC laws that allow us to manipulate and study sections of the fractal generator. And so we obtain from it many ratios and relationships.

The study of the fractal generator thus can be done in mere mathematical, reductionist terms, but it is of more importance to study it as a logic-mathematical mirror of the entity in itself, the supœrganism and its ωorldcycle.

GST departs from a simple Concept: the properties of reality derive from its ultimate substance cyclical space an fractal time.

Those 2 substances, combine into present energetic space-time beings, and so we can write for all beings; a ‘generator equation’ of the three arrows/substances of space-time of which the being is made and then obtain from them the laws, ‘isomorphisms’ or ‘invariances’ that are common to all systems of reality.

In fact all systems of reality can be described as ‘fractal supœrganisms’ made of ‘lineal limbs/fields/moving platforms of spatial entropy’ and ‘cyclical particles/heads/chips’, which store clocks of temporal nformation, joined by an intermediate, hyperbolic space-time body-wave, extending at least in 3 relative ‘scales of size and time speed’ (ab.∆±1). So we can write a synoptic equations or ‘fractal generator’ of space-time beings, which we study in depth in this post:

Œ ≈ ∆-1 (entropy): |-Spe < ∆: ØS≈Tƒ > ∆+1: @ (mind)

Whereas Œ is any super organism of space-time extending those three scales, the atomic/cellular, organic/thermodynamic and gravitational/social scales, composed of limbs/fields of spatial entropy (|-spe), which extract motion from lower scales or territories (∆-1), feeding a balanced body-wave, Ø-St, guide by a singularity or mind made of clocks of temporal information, Tiƒo (head-particle), which observes and disguise the system through its upper scale, ∆+1 or relative world:

All what we see are super organisms created by the actions of a singularity that synchronise the parts of the being through three networks of entropic, feeding, reproductive and informative, perceptive form; creating ‘still pictures’ of present-spacetime – those super organisms, which a mind sees as a whole, freezing longer flows of in/form/ation, forms-in-action that leave a memorial trace perceived as a separate being, as they perform cyclical events from past to future.

In the graph the metric equation of 5D with its different speeds of time clocks that define a scalar Universe. is with the three modes of timespace change, the 2 fundamental advances needed in philosophy of time-change to fully understand and resolve the pending questions of most sciences.

The generator equation is the most used fractal formalism on GST, which portraits all Œ, Oganic ternary systems, in terms of its ‘spatial’, ‘temporal’ and and scalar dimensional symmetries. As we write it most often with the content of its three topological forms, ‘constrained’ by the limits of its ∆-1 scale from where its limbs/fields extract entropic motion, and the ∆+1 world in which its particles-heads obtain information, we consider the generator the best expression of the entity in space:

Γœ:∆-1(entropy)>Spe (past-lineal fields/limbs) < ∆º:ST (Present hyperbolic body/waves) >Tiƒ (future informative cyclical particles-heads)>∆+1@

This simple sentence encodes the meaning of all systems of reality, made of 3 topological space-time forms/functions, energy, entropy and information,structured across a series of scales of different size and speed of its time clocks.


FOR ALL WHAT HAS BEEN SAID, It follows that all languages ultimately follow a Universal ternary grammar, Space < Operandi > Time, which mirrors space-time a(nti)symmetries… So all…

  • Syntaxes of spatial, mathematical and temporal, logic, verbal languages use ternary elements to explain reality…relating with its verbs/operandi the nature of those 2 simplest substances of which all seems to be made; the motions of cyclical time clocks and the meaning of space dimensions, and its scientific combinations..

They are the simplest elements and all process of reality have them… starting with the motion stored in space vacuum & the information carried by the frequency and form of the time cycles of the smallest particles, which give us together the first energies of reality… THROUGH all scales, each one reflecting a similar ternary:

Γ:   S@ <≈> ∆ð      Universal grammar.

So S <≈> T Is the minimal TRIAD OF elements for any T.Œ , defined by its ‘Fractal Generator’.

The most general above is a logic equation, which resumes the syntax of all languages and hence unifies them all (verbal, visual, mathematical thought),  and so it can unify also all the forms of knowledge derived from those languages (mathematical physics, verbal evolution, visual arts, etc.).

Since the Universe has 3 dimensional elements, plus a scalar repetitive structures of 4D parts and 5D wholes.

‘Spe: spatial lineal momentum’ +Tƒ, temporal information (stored in the form and cycles of angular momentum, of clocks of time); and its combinations, space-time actions of energy described by verbs or mathematical operand.

Some languages:

Spe (space)<energy>Tiƒ (Time): red-motion < Green: energy> Blue-information. F(x): Space ≈ G(Y), Time function.

Informative subject<verb: action-Energy> object: entropy.

Height-informative pole x  length, motion point = width energetic-reproduction point and so on.

To which we must add a ‘new 5th dimension’ of scalar parts that become wholes, which reality shows, as it builds from particles atoms, then  molecules, cells, matter, organisms, solar systems, galaxies, Universes.

And so languages reflect clearly with the iteration of its simpler 3 elements, which become ‘longer sentences’ in  treatise combinations, the higher language of T.œ.

In maths, we can see the duality and scalar growth reality in its series of operandi: Sum/rest->multiplication/division->potency/logarithm.

In words, we have 3 elements and 3 scalar growths: sentence, paragraph, narrative.

So happens in geometry in 3 scales: point->line->plane->volume and so on.

Thus, the elements of each T.Œ, and its jargon/language, once we understand in those ternary terms, both ‘reality’ and the languages that describe it  in different sciences, each one specialised in a relative scale of the ‘5th dimension’ become clear in all languages: mathematical physics & chemistry, to which biology ads verbal evolutionary languages, arts substitutes the spatial geometry of mathematics by the visual perception of the human eye, and history introduces the subjective ethics of the wor(l)d.

So the astounding quantity of data gathered by each science, fits within the scaffolding of the Generator Equation, from where each language departs, in which the equations, postulates and statements of each scalar science are defined.

Thus T.Πwill not only classify all sciences, but not surprisingly will reveal an enormous number of solutions to pending questions of those sciences, thanks to the new understanding of its 3 fundamental elements, and its laws, fractal space, cyclical time and the scalar dimension, whose properties and Generator equations, will be proved ad nauseam for each science and each scale.


The justification of the Rashomon ‘effect’ or Rashomon truth, the concept used in this blog to explore the truths of all systems, departs from a simple reality: the Universe is a fractal organism of ternary scales that co-exist together, ternary time ages/dimensions between entropic death and social, informative generation and multiple topologies.

So as all those levels happen in the same being at the same time and in the same ‘closed space’ of a super organism, within a given membrane that breaks it from the rest of reality to observe and extract the truth of the system we must cast our linguistic analysis from all those perspectives, which we resume in four, the ∆§ scalar view, the temporal view of its world cycle, ð, the spatial simultaneous organic view… and the languages we use to observe all this which will mirror a ternary syntax, @, from a point of view or mind, often biased to observe the event from its advantageous biological needs.

So S, @, T, ∆, are the minimal elements to observe reality. But how we ‘connect’ them? Here is where we need the most important, yet less understood element of reality – the vital operandi that connect them through flows of transformative energy, ≈, scattering motion, < and implosive in-formation, > (lineal and angular momentum in physical jargon), whose exchanges constantly adapt reality. So we write the simplest ‘Fractal Feed-back generator’ equation, which ALL languages model in its syntax, with those 4 elements and its a(nti)symmetric operandi (ab. for symmetric, ≈, antisymmetric, < and asymmetric, > relationships between them):

Γ.                            S@<≈>∆ð

This is the essence of reality. Why we group space and minds? Easy, because space is the perception of a simultaneous still reality which IS NOT ‘real but’ a slice of the infinite real motions of the Universe, stopped by the languages of the mind that lock in a mirror image in its smaller finitesimal mind reducing reality. So we can also write the previous equation in its simplest mathematical formulae, or equation of the mind as:

O (finitesimal mind) x ∞ (timespace cycles of the Universe) = C-onstant world view: linguistic mapping.

On the other side thus we write ∆ð, the REAL UNIVERSE OF INFINITE TIMESPACE CYCLES IN MOTION, as the substance of reality is MOTION, not space-form. This little understood fact of reality, proved by evidence that all what exists, including particles are motions, and form are angular momentum, cyclical motion seen as still form when it is very fast, as the ‘fixed’ wheels of a bicycle seem to us a solid form, IS the key to fully grasp why THE UNIVERSE never stops. Why there is balance between vortices of mass (galaxies) and big-bang entropic vacuum – the only element reductionist physicists use to describe it in their faulty big-bang WHICH REJECTS gravitational informative forces… Why ultimately all is a zero sum of lineal motion and cyclical angular momentum, closed in vital energy cycles. 

So it is ALL really easy to understand when we get to the final principle. And a good language will be one, which makes a best mirror with minimal deformation of all what we have said.

Problem with huminds (ab. human mind) is that they DONT MAKE good mirrors, but ARE COMPLETELY SELF-ABSORBED by the paradox of the mind-ego, who thinks his still mapping of reality is the whole Universe, not a simplified mirror, so what huminds have been hard at doing for 5000 years and counting is to DENY, that motion not their STILL mapping is the substance of the Universe, that they are NOT the centre – the still mapping distorts and makes them the centre, of NOTHING, not even of scales, which they also deny, as they deny reproductive properties to quarks and electrons, etc. etc.

I am frankly completely fed up of huminds, including scholars, which are busy-busy for 5000 years inventing false dogmas about the self-importance of man, first of religious origin, then of scientific origin – even worst because they believe even more in its truth, such as the previously explained ‘dogma’ of the big-bang. So we ARE not the only intelligence. Languages perceive in themselves, in the pan psychic Universe. You are NOT the best talker. Even an atom speaks better geometric mathematical languages. WE are not the preferred scale. You are NOTHING: AN Infinitesimal mind mapping in a 1 dimensional minimal ‘bit’ language words, reality with a distorted self-centred view. OK?

OF COURSE, not… fact is humind won’t change its structure. They ONLY see a scale of reality so they are only interested in their scale. They only exist from the point of view of the earth, so they won’t care about the organic properties of atoms and galaxies. They want to be the absolute intelligence that knows it all, the beginning and the end, so they love the idea they have found the eureka moment in the big-bang, regardless of vortex of gravitation, and so on and so on. This I learned in 30 years of random speaking on 5D: You might as well talk chinese to an ant-hill… Humans are children of thought and they just want to hear baby-talk as if it were that important. Baby talk today is done with math equations, before with words, but is always creationist baby talk. The ant only wants pheromones – light frightens her, it has no senses to grasp it. Humans see only this scale, and from their point of view. So you collide with their ‘intuition’ of self-importance centre – only if they can come out of their mind they might see themselves as part of the whole.

And scientists I repeat are equally good at NOT seeing themselves as part of it. Their data is better – conceded, but that has again reduced their ‘view of knowledge’ to accumulation of data, NOT interested in causality laws, and general laws, but accumulation of computer data and statistical methods of finding causal connections in an automaton manner, not SEARCHING, NOT THINKING EVEN POSSIBLE what we shall show in this blog – the deeper level of causality and organic laws of the fractal Universe, the ‘thoughts’ of God of which we are all organic details.  It won’t be baby talk.


What is the relationship of Algebra with GST? Simply speaking, Algebra is the S=T perspective of mathematics as a mirror of the different steps and stops of T.œs and its feed-back equations between the 5 Ðimotions of the Universe.

We define a fundamental point-particle, the Non-Euclidean, Non-Aristotelian T.œ. A Supœrganism (ab. œ) of Time§pace (ab. T.œ ≈ ∆±¡).

A Supœrganism comes defined by some algebraic equations, S=T, S x T = K, to be a vectorial field, as a point in a vectorial field has both direction – hence motion – and form, mass, scalar value. General coordinates are best as they refer the supœrganism to its self-point. All T.œs having a self-centered point or monad-mirror in a linguistic mapping or ‘seed’ to reflect and try to re=produce imprinting suitable energy (∆<¡) as its points of exist¡ence.

To be anchored first as a point is the first function of any T.œ when emerging into exist¡ence.

We call the description of all of this, ‘Existential algebra’, ælgebra, or ¬Æ, as it is both ‘Existential Algebra’ and Non-Aristotelian, Non-Euclidean in its form.

It is in that sense the most important, structural element of the mathematical mirror – the closest classic linguistic expression of the Universe and its 5 Ðimotions of exist¡enœ.

We are NOT that much interested in merely translating human algebra to ® as a formal mirror of the Universe, a ginormous task, others will built after me, but in defining a ® of the Universe and as human Algebra does work in that purpose, to establish as many correspondences between ® and common algebra.

We depart in non ¬Æ of a first element, a fractal non-euclidean point, ruled by the 5 Postulates of non-euclidean topology: points are fractals, lines are waves between points, with less ‘amplitude=energy’ than the point – a fermion so to speak vs. a boson-line traced. How Fermions or non-E points proper share bosons, or line-waves of lesser ‘mass-position’ and more ‘speed-reproduction of information in a lower, ∆-¡, is a relative question.

For terminology, every non-euclidean point is a t.œ, his index ¡ is always relative to its mind: I=0=T.œs mind. Departing from it, we can cave into its inner world of -¡ and its upper world or +¡.

The laws of ¬Æ are expressed thus in terms of a relative self, as ∆±¡ different planes in which an ∆º mind exchanges energy and information with different ∆±¡ planes.

It corresponds for the case of Ƽ and Ʊ1 cases to classic science (single plane coinciding with the language of the mind-will).

Philosophically we can consider the mind, the perfect block of time of the syntax of one language that reflects the game of existence itself.

But logically we have a first element or seed, ∆º, and then we can ‘follow it’. as a non-Euclidean point in space, non-Aristotelian monad in time, as it mirrors in its language and reflects upon its world to exchange energy and information and fulfill its ‘Parts’ as an ∆º must have a body, ∆±1 and co-exist in a world, ∆±¡, whose relative extension might depend of the fractal fine detail. in our measure of ±¡.

As such the minimum ‘space’ to represent a world of such points is a vectorial space in which each point has at least two values that might represent the body-motion and mass-direction of the point, which becomes then the simplest representation of a T.œ spacetime, in which each points is a T.œ, which has two creative parts we might call space-form-scalar parameter and time-motion-direction of the vector parameter.

The simplest of those are momentum fields, in which each point represent in generalized coordinates the relative momentum of the being.

The being then has two states, one S=T, or reproduction and one S x T = K, with two limits, max. S x Min. T = Birth-generation, and Max. T x Min. S = Death – entropy; and two lesser limits, §(information: particle/head) x t (motion: limbs) = K (body-wave)…

We play then with those 5 components or dimotions deduced of the equivalence of space=time, or present, reproductive dImotion, and the limits and elements of § (information) x t (lineal motion-speed).

So the 5 Dimotions or basic symbols of Existential algebra are a development of the two equations that formalize the logic postulates – space is time, and the metric of 5D, S=T & SxT=K:

§->∞ x  t->0  (Seed: Ð5) ∑§¡-1=tº (birth)= Min.§ x Max. t (Youth: Ð2) > §=t (maturity:reproduction: Ð3) > Max. § x Min. t (3rd age: Ð1)<< ∑t-1 (Death: Ð4)

Since reality is about the S=T and S x T = K ‘space=time and spatial size x Time clocks = constant, basic relationships hold in reality, from where we derive the two ‘extreme dimotions’ of entropy (pure time motion) and form (pure still language-space), which can be seen as the S=k/T symmetry; yet as those poles come together, we move to the S=T, energy=information final reproductive state of the being, through an intermediate, S X T, locomotion-distance x perception (lineal x cyclical vortex motion) state.

All those states and symmetries are thus feed-back equations which can only be properly ‘generated’ with algebraic inverse operations, in its simplest form, and in its most complex structures, when we consider multiple ‘symmetries’ and ‘variations of species’ with the help of Group theory, as essentially S=k/T, will be the ‘inverse numbers’, k, the identity number (if equal it to one) and the dual demotion represented by certain algebraic operandi.

So Algebra connects  the closest humind formalism of the Universe – maths – with the Generator equation, whose operandi and transformations have been taken accordingly from the classic symbols of algebra, albeit as in all other disciplines of science, slightly transformed to make it correspond to the larger, more encompassing, efficient focused mirror of GST (when in the future is properly evolved by other researchers).

So we call the formalism of relational vital space-time and its T.œs, of ‘Gst’, general systems sciences and its Generator of Space-time organisms, also existential algebra, and write it as ⌜Ælgebra, which reads as ⌜Æ-logic: that is Existential Algebra (Æ) (the 5Ðimotion and its inverse 4Ð entropic dissolution, .)


The generator equation of Existential algebra is then any of the multiple representations with those simple symbols of Dimotions of Timespace Organisms, that is any Ð function of the game of existence – of travels through the 5 Dimotions of space-time, performed by any T.oe.

Death then exists, as a partial equation of the Generator according to ¬Æ rules: BY MERELY extracting an inverse partial equation from Γ.œ:

∆+1 Tƒ<<∆-1: $p; that is the mind-whole of the ∆+1 scale dissolves bak to its minimal parts, the spatial past, lineal entropic ∆-1 elements.

Thus the symbols of the generator, which encode both the metric of 5D, the ternary topologies of supœrganisms, the ages of time AND in its operandi, the past to future, present to past, present to future, future to past flows of entropy, energy and information, define by similarity and combination in sequential sentences/equations all the co-invariant laws of space-time beings.

We can of course being as pedantic and obscure, as complex in our other languages reflection of the Generator as we want when entering in details.

But ultimately in the final synopsis, all reduces to the ternary topological temporal and scalar ‘invariances’ of the generator as it reflects all possible arrows and forms of scalar Timespace (causal chains, sequential ages, topological ensembles, etc), origin of all the events and forms of reality applicable to all entities of Existence: ∑Sp∆-1<∆ST>∏Tƒ∆+1

So we shall close this introductory note, with a consideration on the philosophical question of the limits of reality.

Now we shall make a bold statement, which for 30 years of studying reality has proved to be truth:

‘The Universe is a fractal game of scales of time arrows; reflected in the formalism of its Fractal Generator: Γœ: ∆-1: Spe<∆St>∆+1: Tiƒ, its ternary topologies, time ages and scales,

Thus the symbols of the generator define by similarity and combination in sequential sentences/equations all the invariances in space (topological invariances) and Time (causal chains, sequential ages), origin of all the events and forms of reality applicable to all entities of Existence: ∑Sp∆-1<∆ST>∏Tƒ∆+1

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

So every equation, form and species of the Universe, event and world cycle can be described as a part (partial equation) of the generator an its many linguistic mirrors (universal syntax in grammar: Subject  (Form) < Verb (action-momentum)> Object (entropy of subject); S(x)≈T(y) in maths, entropic red < yellow/green energy information>Blue form in colours, Height (information d) < width (reproductive d)>length(entropy d) and so on…

It also follows that all stiences and disciplines will find its theories as approximations to the generator, or partial equations and limits of models constructed with less dimensions, and such is the case of 4D ‘RELATIVITY’ physics, which converts world cycles with a lesser dimension in worldlines and the ∞ scales of ∆ into the single light space-time continuum.

%d bloggers like this: