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.
FRACTAL GENERATOR. ITS TERNARY ¬Æ LOGIC.
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:
- (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.
UNIVERSAL GRAMMAR ≈ FRACTAL GENERATOR
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.
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.Œ will 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.
I. TRUTH IN LANGUAGES: MAX. TRUTH = MAX. POV. RASHOMON TRUTHS.
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):
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 ¬Æ as a formal mirror of the Universe, a ginormous task, others will built after me, but in defining a ¬Æ of the Universe and as human Algebra does work in that purpose, to establish as many correspondences between ¬Æ 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 ∆º and ∆±1 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 WHOLENESS OF THE GENERATOR of EXISTENTIAL ALGEBRA.
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.