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4Ð: ∆-1: Past Entropy




Foreword: Entropy as it is, entropy as huminds define it.

Rashomon effect. Entropy from the 5 ¬∆@st p.o.v.s: disorder, death and dissolution into ¡-x planes.

Entropy in physical scales: The ‘potential’ womb of all future forms.

Entropy in biological scales: death

Entropy in social scales: War

“Call information entropy. Nobody knows what entropy really is, so you have the advantage.”

 Neumann to Shannon, on the science of duality that studies the two inverse arrows of timespace of the Universe, entropy=pure motion and in/form/ation. And the ignorance humans have on their properties.



The 4th Ðimotion of spacetime is entropy, synonymous of death – erasing of information in a social group or scale. The function thus have a clear-cut ¡logic definition, with the simple ‘symbols’ of pentalogic:

4Ð: ð§¡+1<∑$t-1.

Entropy is in that sense the inverse of form –  one of the limits of the Universe – a disordered ‘potential’ of all possible states from where reality should arise ‘again’. Entropy is the dead corpse of broken cells that will be reconstructed into an ordered living being. Entropy is the dark energy (conceptual error, it should be called dark entropy), of interstellar vacuum with no information and no spin (Higgs particle) which will give rise to the top quark black hole and the zoo of particles in the cosmological scale. Entropy is the state of heat and microscopic disordered gas, from where all potential combination arise in Boltzmann statistical mechanics. Entropy is the age of chaos and disorder and war in which a civilization enters at the end of its life. Entropy is thus the ∆-¡ final state of past spatial extension without form; the ‘Vishnu’ state of the Universe in Buddhism, the limit of yang; the E of E=mc2 in an atomic bomb (also confused with energy).

In the range of the 5 Ðimotions: 5Ð-pure mental form (¡™+1) <¡o:  Information-Energy-Locomotion<< entropy (¡-1), is in one of the two extremes of a scale of reality, opening the door to the dissolution into a lower scale.

It is then used in the praxis of science to measure the quantity of energy of that ¡-1 scale which will remain there and can’t be used to do ‘useful, ordered’ work on the ¡o macroscopic scale; Free energy = U (internal energy) – S T (entropy x temperature), being the classic equation of physics, we must interpret in 5Ð in terms of what SHOULD remain in the ¡0 plane for the scalar Universe to exist.

Because physicists use only a plane of space-time, while those equations work, the whole conceptual understanding of entropy is a complete mess.


Meaning that a form of maximal information explodes into a herd of disordered smaller fractal points down two scales of the fifth dimension, dissolving the networks that pegged together its parts. So entropy happens at the moment of death; and in gaseous, dissolved states, or socially in cases as the present world, in which humans are selfish egos in dog-eat-dog societies where the ethic pegging is gone, prior to the likely extinction of our civilization.

Following the entangled laws of pentalogic in which all elements are defined from the perspective of the other 5 Dimotions, we consider entropy from the perspective of the 5 elements of reality, ¬∆@st, ‘entropy on entropy, entropy as a mind, entropy on space-topology, entropy on time-ages, and finally entropy on scales, the most important ‘detailed’ element on analysis. So we can consider entropy in more detail, in mathematical physics, where it has been ‘expanded in excess’ to incorporate erroneous generalizations and metaphysical postulates, on biological organisms, where is synonymous of death and social systems, where is synonymous of war.


Note on the correspondence principle between 5Ð entropy and information and classic therms. 

Rashomon Pentalogic Truths explain the 5Dimensional motions, ab. Ðimotions for any spacetime organism and its main ‘entangled’ structures by considering the ternary topologies of spatial=mental informative, temporal=moving, sequential ages and scales of reality that converge into a ‘reproductive’ present through logic operandi  iterating feed-back ‘generator’ functions of reality in time and space or T.ŒS. Existential algebra studies the Generator Equation in its most general form, putting its 5 Dimotions together through sequential, a(nti)symmetric ≤≥ equations that describe also the flows of energy and information between its 5 components: ∆t≥S@

For the so called scholar and systemic scientist information is related to communication, through the work of Shannon. This has nothing to do with our analysis of Form, the inverse function of entropy=disorder achieved in the stillness of a linguistic mind mapping. Form is what we call one of the two limits of reality, the other being pure motion and disorder, which we shall call entropy. So the relationship we establish here is simple, as expressed mathematically by the third law of thermodynamics: when entropy is zero, form is absolute – the image of the mind is shaped in a crystal, a physical mind with zero entropy.

On the other hand when form has motion becomes in-form-action and can be transmitted and reproduced, and then we apply the concepts of Shannon which rightly talked always of communication NOT of the form, that is the information of the message, but of REPRODUCTION WITHOUT ERRORS OF A MESSAGE Transmitted and replicated in two different points of space-time.

So Shannon’s classic paper “A Mathematical Theory of Communication” opening with the assertion that “The fundamental problem of communication is that of reproducing at one point, either exactly or approximately, a message selected at another point…”corresponds to the 3rd Ðimotion of reproduction.

It is for that reason closely related to ‘energy’ (rather than entropy also two very confused terminologies as they arose from pure mathematical disquisitions (Carnot cycles, work theory) and we shall clarify in detail in other posts, as energy is motion with a little form and information form with a little motion, and both come together E=I when a system merges and reproduces. So both information and energy are the two sides of the 3rd Ðimotion, while pure form is a mental linguistic image with zero entropy and pure entropy is an scattering disorder, measured in mathematical terms at the ∆-1 scale of ‘all potential future orders’ a microcosms with no form can give birth to…

Hence the definition of entropy in statistical mechanics will be more precise and accurate than the concept of thermodynamics in the ¡o scale, which is closer to the proper definition of vital energy – not surprisingly Entropy was a word chosen on purpose for its similarity to energy; and it can be equated to the ‘vital feeding formless energy the system will imprint with information to shape its 3 ‘present Ðimotions’.

We will obviously clarify conceptually all the main equations of thermodynamics in the more detailed posts of the 4th line; as the beauty of mathematical physics, when the concepts are properly understood grows enormously – (beauty being in any case S=T, the sense of proportion reached when form and motion merge in equal parts).

We shall thus describe entropy under the Rashomon effect, from the point of view of the 5 Ðimotions of reality:  ¬∆@ST

∆ ∂S


As usual with most terms of ‘Dimotions’ (Dimensional motions of spacetime)  used in GST, we borrow them from Physics to expand its meaning to all other stiences, as in the case of the 3 Dimotion of energy-reproduction and the fourth dimotion of entropic death, changing slightly the meaning, apt for its conceptual ¡logic analysis – the more so when physicists have a good mathematical mirror of those Dimotions, but a poor conceptual understanding of them.

So we do with entropy. In Physics, entropy means essentially a state of disorder. In all sciences, the dissolution of information that causes death.

In terms of locomotion, we could say that if locomotion is ‘lineal motion’ of a single whole, which keeps internally its structure, entropy is the explosive motion of the whole that affects also its internal structure breaking its physiological networks, that create the whole, into its parts. So entropy is a social explosive locomotion that kills the whole. Entropy IS death and we use a double symbol << of locomotion to signify that entropy indeed dissolves the whole. And it does so not only in topologic terms but also in scales.

Entropy is in logic terms the dimotion of death and dissolution of an ∆+1 plane into a scattering sum of parts, ∆-1 in a lower scale of existence.

We shall not cease to stress that in the hierarchy of languages of the Universe concepts of logic dimensional nature come first and languages of description including mathematics next. So as usual we shall start with a conceptual description of entropy as the dimension of lower, scattering expansive space and diminishing informational ‘depth’ in organic scales of the fifth dimension. Entropy is in that sense PERPENDICULAR to social evolution diminishing the number of planes of the fifth dimension ‘entangled’, interconnected into a whole.

Entropy, scattering, death, war, Big Bang, disorder, gaseous state… all are similar terms for the same phenomena in different scales: the dissolution of the simultaneous, synchronous, iterative networks that form the inner whole that emerges no more after its entropic explosion as a whole but desegregates into its ∆-¡ elements.

In the entropy age, Parts have lost the connection with the social plane, so the sense of chaos=freedom is higher, but is a lower level of evolution prior to death.
In philosophy of science entropy is death. In physics ENTROPY IS only Boltzmann’s mathematical equation of a state of chaos of certain species of molecules. The larger concept of Systems sciences is entropy akin to death of a system. That is the last state of existence the fourth dimotion.
ENTROPY THE WORD SYNONYMOUS OF DEATH IS MORE IMPORTANT THAN an equation of thermodynamics, wrongly interpreted in terms of ‘degree’ off freedom – what matters is that the crystal solid or liquid stops its inner interactions, BREAK ITS NETWORKS AND SO THE WHOLE AS A SINGLE COORDINATE BEING DIES.
But scales of parts and wholes are NOT equal but similar. So networks change, BUT the IMMANENT LAWS OF RELATIONSHIPS BETWEEN PARTS AND WHOLES, OF NETWORKS ARE THE SAME:

It all mean the dissolution of the whole, and its ‘informative networks’ that put it together back to its ∆-1 scale. Entropy thus is the erasing of a plane of existence; that of the whole, which we identified with the still linguistic mind mapping.

Entropy tends to lie into the future, as 5D generation from the seed to the emergent whole, ∆-1>∆0 happens in the origin of the being, if we are to use the specific sequential time of the human mind. But it is a local future, which can be seen as the beginning of a new generation. So information as the future or entropy as the future in cyclical time matters not: ∆=∇, going up and down the planes of the fifth dimension finally both dimensions balance into a zero sum.

As minds are still order, and we are a mind talking to minds we have chosen wholes and informative minds as the fifth dimension of our relative perception of  the future. But if i were a Nietzschian lion eating the camel’s load, and call Shiva, the god of death the future of the Universe, in its interstellar vacuum space as physicists, masters of entropy weapons, do; I promote entropy=death as the future and believe in the relative second law of thermodynamics.

Of course the law is not absolute, only applies to gaseous states – the entropic state of matter, reordered by crystals – or to dark entropy expanding interstellar vacuum between galaxies, balanced by the warping of vacuum space into matter under gravitation in galactic vortices.

In a logic sense though to call the mind-whole the fifth makes sense: Fact is t we can ONLY GO upwards and create wholes  if the parts are there. So the parts must be the fourth dimension of relative past, to which entropy returns.

Entropy and probability.
In physics entropy is studied in terms of potential degrees of freedom which means the more freedom degrees the more entropy and that is so.

The fourth has then ‘potential qualities’ and it is a potential in physics; which can be used to give birth to different wholes in the five. As humans become different complex super organisms; and once ‘made’ we remain with a fixed form; all other potential paths gone. But when we die and become mere atoms, again the  the number and range of possible pyramids of different wholes to that of the old whole ‘humind’ reappear, and so the fourth dimension of entropy, holds all potential future wholes, in the form of probability. And so it is the entrance to the renewal of infinite parallel worlds of super organisms of space-time.

It is then really the fourth dimension, sum of smaller, faster time cycles which can create many envelopes, many particle covers of static mind spaces surrounded them, self-centered into a central singularity. Then entropy becomes vital energy, enclosed and ordered able to move without scattering the whole as a ‘wave’.

Entropy though is free, it is expansive, fast and Markowian, memoriless. AS WHEN WE DIE entropy erases two co-existing scales: ∆+1<<∆-1; devolving the being twice,  jumping down two scales, expanding thus enormously in instantaneous space, the time quanta, now dying quanta crossing  the thin barrier in a single moment of time between being and not being, the inner and outer world, the concave and convex side of ± curvature…

Screen Shot 2017-11-10 at 23.14.39Screen Shot 2017-10-30 at 10.47.15

In the graph, entropy often confused with energy, is pure expansive motion that erases space: the limbs/fields of all systems. When entropy has 0 information then it disappears from perception and becomes pure distance which seems not to have motion, but it is pure simultaneous, infinite relative motion V=S/Tiƒ=S/0=∞

The word entropy has a restricted meaning in Physics, which we widen in GST, to all the scales of the Universe, as one of the 3 fundamental arrows of time. We call with the generic name of entropy or space, ‘S’ (symbol which physicists coincidentally use for both), one of the two extreme poles of the universe, lineal motion-distance, translation in space with minimal form, even negative absorption of information. Yet as all systems are relative to the p.o.v. that describes them, pure entropy only exists in the absolute Universe, in those scales we do not perceive – for human beings, in the gravitational pure space-distance with no form, no information, and hence a relative infinite distance-speed; V=S/t=S/o=∞. In the next, quantum scale, Pure entropy would be then non-local action at distance – Bohm’s quantum field which the particle uses to displace its wave and acts at faster than c speeds – not a problem for the scalar field dimension.

Next, we arrive to the thermodynamic ∆º scale, the human scale in which entropy finally meets its meaning in classic physics, as the expansive disordered tendency of an atomic or molecular ensemble to increase its spatial distance and hence its disorder; so it corresponds to the gaseous state of the 3 states of matter ($t-gas, ST-liquid, ð-solid).

How this specific scale and state of matter has become among physics first and then among all humans the ‘only arrow of time of he Universe defies even the ‘imagination’ of the most unreal dreamer of absolute theories about the Universe. And of course is the biggest reductionism of scientific models of reality carried on latter into the entropy only big-bang theory of the Universe.

We shall thus debunk those absurd ‘totalitarian’ ideas about the wholeness in the posts on specific physical scales (Cosmology, thermodynamics). It is though in this scale, being the human ∆º scale where most of the great questions about entropy as an arrow of time can be answered and generalised then to each scale, but only as a single arrow of the 3 in existence, ascribing to human error – that is to the worldly profession of physicists – to make weapons of mass destruction, the absurd idea that it is all what the future holds for all of us – or in words of Helmholtz: ‘the Universe is dying’ LOL, the Universe is ∞ in scales, immortal in time. Only Mr. H is dead and so it should be his theory of time.

Entropy at this stage however becomes interesting to model all other ∆º±1 scales of reality because of the great detail of thermodynamic equations, and so we shall introduce in this post, the mathematical physics of entropy with special interest in the relationships, well studied by statistical mechanics, of the relationship between entropy-disorder in the different scales of the fifth dimension.

Since it will allow us to argue the inverse arrows of time as they apply not only in a single but in several scales of the fifth dimension:

5D best

In the graph, we deduce from thermodynamic studies, and generalise to any 3 ∆º±1 5D dimensions the concept of a growing entropy in the ‘upward’ arrow of the wholeness, and a diminishing entropy in the lower arrow, which physicists have found in the study of heat, such as the order of microscopic particles does not travel without ‘friction’ upwards, yet the synchronous order of the whole travels mechanically downwards without friction, as you do not suffer ‘entropy’ when moving.

Next it comes the scales of life, and again we generalise the fact that in what we might consider Tiƒ states, or solid states there is negantropy, that is growth of information. This happens not only in humans which can be considered a liquid-solid state (cells act as DNA crystal for what it matters in terms of order, growth of information and reproduction), but in all scales where entropy will always be superseded by a higher ordered arrow, of creation of form (reproductive liquid wave, or body wave) and further on by the tightening of cloned herds by an informative branching simultaneous network, departing from a tiƒ, still focused mind-seed of information.

So we arrive to the cosmic scale, where entropy is played by dark energy, action at distance, expansive space, which the simplex physical models of entropy only consider it all.


The function of entropy is self-evident in all scales of nature: disorder and death; hence the arrow of past, inverse to the creation of information. This physicists got it right, so we can again considering it for all scales as a function of time, more than one function of form (as we have done in the previous paragraph):

Death is entropy, a big bang is entropy, decelerated expansive motions are entropy, the arrow of disorder and chaos is entropy, the past is the relative motion of entropy.  Entropy coincides broadly in the thermal scale of physics with the concept of disorder, heat and gas expansion, but that is the ‘limit’ of the concept in a single scale of the Universe.

In the Fractal Universe entropy is the Spe-expansive spatial ‘arrow of time’, one of the 3 arrows of the fractal generator, and it has different equations and parameters in each scale.

So here we shall deal with ‘entropy only’ as a process that expands space by erasing a ‘tighter whole configuration of the 5th dimension and eliminating its informative warping, liberating 1 ‘scale below’ in the 5th dimension, the ∆ being (partial entropy) or 2 scales, ∆<<∆-2 (Death). As humans perceive several scales the ‘intensity of an entropic’ process of destruction thus will vary.

So the final absolute entropy of infinite motion and zero form, (relative to a p.o.v. of perception) will be for man the dark energy of intergalactic space, the absolute/relative past of an small island-universe:
– Dark energy is expansive gravitational entropy between galaxies

-Neutrino quantum potential waves are the entropic field of the v:∆-4 scale.

-E (=mc²) is the entropic ‘explosion of mass’ into an expansive ‘big-bang field’. And any field in general is the entropic subtract that informative systems (in an inverse fashion: M=e/c²) contract and form.

-Entropy is the heat expansion of a thermodynamic ∆-3 scale.

-Entropy is the moment of death (in general terms): Max. $p x T=0, which is specially relevant to explain living systems.

-Entropy is war in the ∆+1 scale of super organisms of history.

So entropy is death, erasing of information, expansion of form into space in any scale of the Universe:


Entropy is death in all scales; disorder of information for human biological beings or physical beings (big-bang events). As such it is the E on E=mc², often confused with Energy (in that equation energy is the bidimensional c² field), so properly written would be:

Entropy < Energy: c² > Time vortex: ðƒ

Entropy is maximal at death where the arrow of entropy is pure, but we can consider that it grows also in youth, the first age, albeit with less pure intensity. As we write death as:

∆ºðƒ<<∆-2: $p

That is a Temporal Future (ðƒ) of maximal form becomes erased into a lineal spatial memorial past remains, extended in space.

Death=entropy means to descend two scales of the fifth dimension and fully erase the form of a system.  While youth, after a fast reproductive growth truly increases towards maturity its information. So youth is the relative ‘entropy age’ when compared to the other 2 ages of more energy and information.

This means entropy is in past-lower scales (ST∆-i), which are always happening together (entropy with lesser information is the relative past state of any system, as a loose herd of expanding motions of micro-points, from the p.o.v. of a higher scale), is defined in terms of expansive, open space as one of the 3 ‘functions-forms’ of space, as ‘ENTROPY’, only.

Finally to notice that as ‘the future is a relative choice of 3 arrows for every logic being (Non-Æ logic), entropic death can also be in the future.

So in 5D entropy is both a more reduced time arrow (as it shares the definition of future with the arrows of information and repetitive, conservative world cycles of energy) and a more expanded one, as it applies also to other scales.

Thus we talk of two levels of entropy: pure entropic motions or death processes and by extension, the perception of a -2 lower scale of reality from the ∆º point of view, and feeding processes of ∆-1, which can be considered partially energy events, as they will end up reforming the field into a higher energetic quanta of the ∆º being.

In mathematical terms, each of those processes means the extraction from an ∆-1 scale of an integral or derivative quantity (depending on which direction we measure), and so when we study mathematical physics, we shall notice that pure entropic processes imply 2 derivatives as in Lagrangians and one single derivative carries us to an energetic analysis (as in Hamiltonians).



Entropic organs are ‘weapons’, often born of the ‘lesser form of entropy, locomotion’. So there is a close relationship between ‘limbs and potentials’ and entropic weapons, in form and even in ‘substance’.

Limbs are the moving element of the being. The entropic element will often be simply the lineal element without the ‘mixed informative parts of the limbs that allowed its stop and go positions’… We might say entropic system only ‘move forward, perpendicular’ to the entity they ‘penetrate and tear’.

Limbs are complex systems, which can be decomposed often in several ‘lineal parts’ connected by ð-cycles. So a leg has two lineal parts, and a spherical knee to allow complex rotary motion.  A rotary head attaches  to the body, the cilia or a hip, the dual part of the leg.

So as usual the law to define entropy compared to locomotion is the higher purity of the arrow of entropy in the design of the system. Entropic parts exist to establish the necessary ‘adjacency’ and ‘perpendicularity’ to ‘tear topologically’ the element in which it preys to extract energy for locomotion, or feeding. 

For example a game of lineal bones connected with rotary elements will shape a limb but the entropic part will be merely a ‘lineal’ horn or group of lineal horns without bending (teeth, claws, tusks)… A locomotion machines will often have wheels on a flat transport platform; a weapon will be a pure lineal system.

Locomotion is also less invasive: an entropic element will TEAR the topological system it penetrates to destroy it. A limb will often extract in ‘parallel’ the energy of the system. So the tusks of the elephant will tear the lion as the more entropic proper part. But the feet will  absorb motion of the electromagnetic repulsion over the matter, which it walks.

Motion thus plays with ‘adjacency’, in a symbiotic parallel process or a repulsive one that does NOT destroy the plane over which it glides. Entropy=death on the other hand requires the perpendicular tear of the topology, that is, an antisymmetric penetration; of the 4 categories of topological transformation defined by the 4th postulate of non-Euclidean geometry:


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.  The concepts of symmetry=parallelism, antisymmetry=perpendicularity and asymmetry are mirrored by the 4th Non-E Postulate of similarity.

In the graph entropic process are perpendicular, anti-symmetric, tearing the membrane of the other system to ‘extract’ its vital energy and reprocess it.

In processes of locomotion that imply entropic disorder then we observe a much faster ‘explosive’ motion, but a ‘shorter’ span, as the energy extracted wears faster, than a ‘gliding parallel motion’. Such is the case of the  tail of a comet that consumes its gas  (and can be considered to tear its own limbic system, to expel that gas) as opposed to the moving, cilia of a paramecium in water, or the Alcubierre engine in gravitation’,  etc, which moves the closed system by gliding on the gravitational scale. Entropy is disordering selectively the ∆-¡ scales over which it transits.

It often happens that the entropic field/limb is not even attached to the body/wave & head/particle; the entropy is truly disordered, either because it feeds the body wave and so by definition food is always entropic, killed and lowered ∆-2 scales. So when we eat we lower the food to the ∆-2 amino acid scale; and when an electron moves it does so according to Bohm’s interpretation of Schrodinger equation over the quantum field (of dark energy/expansive gravitation).


Exponential decay occurs in a wide variety of situations. Most of these fall into the domain of the natural sciences.

Many decay processes that are often treated as exponential, are really only exponential so long as the sample is large and the law of large numbers holds. For small samples, a more general analysis is necessary, accounting for a Poisson process.

From the net we extracted a few cases:

Natural sciences
Chemical reactions: The rates of certain types of chemical reactions depend on the concentration of one or another reactant. Reactions whose rate depends only on the concentration of one reactant (known as first-order reactions) consequently follow exponential decay. For instance, many enzyme-catalyzed reactions behave this way.
Electrostatics: The electric charge (or, equivalently, the potential) contained in a capacitor (capacitance C) changes exponentially, if the capacitor experiences a constant external load (resistance R). The exponential time-constant τ for the process is R C, and the half-life is therefore R C ln2. This applies to both charging and discharging, ie. a capacitor charges or discharges according to the same law. The same equations can be applied to the current in an inductor. (Furthermore, the particular case of a capacitor or inductor changing through several parallel resistors makes an interesting example of multiple decay processes, with each resistor representing a separate process. In fact, the expression for the equivalent resistance of two resistors in parallel mirrors the equation for the half-life with two decay processes.)
Fluid dynamics: A fluid emptying from a tube with an opening at the bottom will empty at a rate which depends on the pressure at the opening (which in turn depends on the height of the fluid remaining). Thus the height of the column of fluid remaining will follow an exponential decay.
Geophysics: Atmospheric pressure decreases approximately exponentially with increasing height above sea level, at a rate of about 12% per 1000m.
Heat transfer: If an object at one temperature is exposed to a medium of another temperature, the temperature difference between the object and the medium follows exponential decay (in the limit of slow processes; equivalent to “good” heat conduction inside the object, so that its temperature remains relatively uniform through its volume). See also Newton’s law of cooling.
Luminescence: After excitation, the emission intensity – which is proportional to the number of excited atoms or molecules – of a luminescent material decays exponentially. Depending on the number of mechanisms involved, the decay can be mono- or multi-exponential.
Pharmacology and toxicology: It is found that many administered substances are distributed and metabolized (see clearance) according to exponential decay patterns. The biological half-lives “alpha half-life” and “beta half-life” of a substance measure how quickly a substance is distributed and eliminated.
Physical optics: The intensity of electromagnetic radiation such as light or X-rays or gamma rays in an absorbent medium, follows an exponential decrease with distance into the absorbing medium. This is known as the Beer-Lambert law.
Radioactivity: In a sample of a radionuclide that undergoes radioactive decay to a different state, the number of atoms in the original state follows exponential decay as long as the remaining number of atoms is large. The decay product is termed a radiogenic nuclide.
Thermoelectricity: The decline in resistance of a Negative Temperature Coefficient Thermistor as temperature is increased.
Vibrations: Some vibrations may decay exponentially; this characteristic is often found in damped mechanical oscillators, and used in creating ADSR envelopes in synthesizers. An overdamped system will simply return to equilibrium via an exponential decay.
Social sciences
Finance: a retirement fund will decay exponentially being subject to discrete payout amounts, usually monthly, and an input subject to a continuous interest rate. A differential equation dA/dt = input – output can be written and solved to find the time to reach any amount A, remaining in the fund.
In simple glottochronology, the (debatable) assumption of a constant decay rate in languages allows one to estimate the age of single languages. (To compute the time of split between two languages requires additional assumptions, independent of exponential decay).


We exist as we travel a world cycle zero sum through the topological, temporal scales of the fifth dimension. The final state of existence is the entropic death when the mind splits pure form and pure motion. in the graph for physical and biological systems the moment in which form switches into motion or ‘entropic point of existience: §ð<<∂S

The mind is paradoxically enough the cause of entropy precisely by causing so much order and form in a system that it exhausts it, and so because the mind absorbs all energy in the system stopping form, once the mind perceives, what it has perceived becomes ‘entropy’ and disordered. So the mind causes the split of reality into the entropic dissolution that balances the absolute form it achieves. And so we can study the mind as the catalyzer of entropy at two levels:

  • The mind that brings the 3rd age of the being and then as time cannot stop once it become immobile, it explodes into the age of entropic death: §ð<<∂S
  • The mind that splits a flow of information into the pixels ‘reduced’ vision of the world and the ‘reminder’ heat expelled and wasted, in each act of perception.

So as usually in the duality of ∑ actions = Worldcycle, we can study the mind in its microstates of actions provoking entropy in all what it wastes after absorbtion of energy or information and we can study the mind in its macrostate and worldcycle as the cause of the entropic death of the being.



Entropy in mathematical physics as the decay of a system.

We must distinguish two concepts of entropy in mathematical physics; the one used in statistical mechanics, on my view completely misleading and which has been carried beyond the study of gases for no reason at all to the Universe, and the one of scattering and diffusion.

And as usual they are related to the inner and outer structure of the ternary systems. Classic entropy is measured as heat and temperature, within a system that is enclosed by a membrane. While 4Рentropy is rather the process that happens when the membrane that holds the being breaks and the internal form disorders into the ‘free=chaotic’ expansion that follows.

In that sense Entropy in 5Ð is a process of scattering and diffusion which grows the volume of a system and diminish its internal order and in-form-ation. As such the most general equation of entropy is that of diffusion:

In the graph, the equation of diffusion, discovered in heat, explains a process of ∆1<<∆-1, observed in the equality of the first and second derivative, or gradient of the field state of an initial point particle emitting energy soon degraded into entropy. As such the equality between the initial state, ∂Φ (r,t)/∂t into its second gradient as field implies the complete degeneration of the system into stochastic entropy in which all particles are disconnected, no longer under a ð, ∆º form missed in the second state. The first state thus normally represents a 2wave of confined cyclical present energy.

In mathematics, many phenomena in various science fields are expressed by using the well-known evolution equations. The diffusion equation is one of them and mathematically corresponds to the Markov process in relation to the normal distribution rule, which are aptly called ‘memorylessness’ processes.

In physics, the motion of diffusion particles corresponds to the well-known Brown motion satisfying the parabolic law.

It is widely accepted that the Brown problem is a general term of investigating subjects in various science fields relevant to the Markov process, such as the material science, the information science, the life science, the social science, and so on. The extended diffusion equations are used for various sciences fields. In that case, they sometimes have a sink and source of their concerned elements, for example, such as a local equilibrium relation between native defects in silicon crystal in the material science or between predation and prey in the life science.

In probability theory and related fields, a Markov process (or Markoff process), named after the Russian mathematician Andrey Markov, is a stochastic process that satisfies the Markov property. Loosely speaking, a process satisfies the Markov property if one can make predictions for the future of the process based solely on its present state just as well as one could knowing the process’s full history, hence independently from such history; i.e., conditional on the present state of the system, its future and past states are independent.

In probability theory, the normal (or Gaussian) distribution is a very common continuous probability distribution. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known.

The normal distribution is useful because of the central limit theorem. In its most general form, under some conditions (which include finite variance), it states that averages of random variables independently drawn from independent distributions converge in distribution to the normal, that is, become normally distributed when the number of random variables is sufficiently large. Physical quantities that are expected to be the sum of many independent processes (such as measurement errors) often have distributions that are nearly normal.

Moreover, many results and methods (such as propagation of uncertainty and least squares parameter fitting) can be derived analytically in explicit form when the relevant variables are normally distributed.

The normal distribution is sometimes informally called the bell curve. However, many other distributions are bell-shaped (such as the Cauchy, Student’s t, and logistic distributions). Even the term Gaussian bell curve is ambiguous because it may be used to refer to a some function defined in terms of the Gaussian function which is not a probability distribution because it is not normalized in that it does not integrate to 1.

The probability density of the normal distribution is:

A random variable with a Gaussian distribution is said to be normally distributed and is called a normal deviate.

We can thus consider that the first information or modelling by an Ƽ mind of a field of micro-points, will be to qualify them as a gaussian distribution. Yet the system will in itself have such distribution for qualities, which are not correlated in time-networks with form.

The element here that we can construct further is the existence of a higher potency which in exponential decay shows more clearly the fundamental property of independent free particles of a field of decaying energy being transformed into entropic radiation:

A quantity is subject to exponential decay if it decreases at a rate proportional to its current value. Symbolically, this process can be expressed by the following differential equation, where N is the quantity and λ (lambda) is a positive rate called the exponential decay constant:

dN/dt=-λ N

The solution to this equation (see derivation below) is:

N(t)=N0 eˆλt

where N(t) is the quantity at time t, and N0 = N(0) is the initial quantity, i.e. the quantity at time t = 0.

The decay of a form such as e=mc² is in certain form a similar case, here a mass entity of the ∆+1 physical scale a mass, reduces to an expansive electromagnetic wave, two scales below, past the electronic next scale of the mass. How it happens, likely through the theory of the neutrino as origin of light waves. two neutrinos between the quarks and the electron elements of the atom produce them with different topological interpretations.

 The inverse arrow of information: Spe: entropy as one of the 3 arrows of the generator of time-space. 3 space quanta

In continuous physics, entropy is a constant K, of the thermodynamic scale, and it applies the concept of an expansive Universe, taken from thermodynamics, which is a sweeping generalisation that must be corrected.

In the graph, entropy is the expansive, lineal, planar element of all systems of reality, which dominates in the processes of death, but normally is connected in complementary forms to informative particle/heads:

Thus we write entropy in the GST generator equation of space-time beings in any of its particular cases as:

|-$p (entropy-youth/death) < St-wave/body of energy > ðƒ (informative particle/head)

In the fourth line we will break the parallel ST@∆ elements of space-time in its parts and simplex one-dimensional concepts. So e shall study each specific entropic element in more detail (time permitted, if not future humans or robots should do it:

Entropy from the point of view of the system belongs to the external time membrane, which cycles as a clock of time in tune with the singularity processing of logic information, synchronising in this manner the whole system.

As the membrane, of an open ball, the entropic dimension tends from a cartesian view to infinity, but truly if we change coordinates to polar ones it does change to within a radius 1 circle, a transformation that mathematically often is easier in complex plane.


The Helmholtz energy is defined as



A is the Helmholtz free energy, which in 5D becomes a measure of the 1st Ðimotion available to the ‘mind system’ as lineal momentum.
U is the internal energy of the system (SI: joules, CGS: ergs), which becomes the 3Ðimotion or vital energy of the system.
T is the absolute temperature of the surroundings, modeled as a heat bath, hence the measure of the ‘external angular momentum’ membrane, which multiplied by S,  entropy becomes the parameter of the external membrane.

So we really write 1 Ð(free energy) +  2Ð (TS) = 3Ð (internal energy)

(To be cont’ed)



Entropy is death for a biological system, but also entropy is needed for a new renewal. Entropy in biology is best then defined by a trophic pyramid, which expresses the different arrows of social evolution and dissolution that takes place for energy to provide replication of top predator species.

Yet in as much as NOT all the energy of a lower plane can transcend and emerge as a new being, energy as in physical systems ‘is always’ bathed in heat, entropy, the part of energy that remains in the lower plane for its species not to become extinct.


BIOLOGIC SYSTEMS die due to the excessive informative absorption of energy by the top predator mind and the enclosing membrane.

So biological death is obviously the reversal of the process of warping in an excess of skin and memory, of space and time, of the mind membrain and its two dimensions.

When the system gets older the membrain detaches itself of the body and the mind forgets the body functions for the memorial thought of time past. And so finally the detachment breaks the connection of the 3 ‘present parts’ that split apart:

existence travel 5

Since that equation includes the 3 essential arrows of the Universe, not only one arrow as a clock does:

The arrow of  past spatial entropy, $p; the arrow of temporal information, ðƒ, and the product of them, C, A CONSTANT balance, or arrow of reproduction.

It is also obvious that mathematically we can express the previous equation in 3 forms:

Max. S x Min. T = K ;      S=C=T      and Min. S x Max. T=C.

Thus there are 3 possible stages or ages of evolution of the equation of biological time. And since we are all made of ‘energy’ and ‘temporal information’, those 3 stages must be the stages, or phases of any system of the Universe. This finding, which is perhaps the most important discovery of Theory of Time of the XXI century, is validated by all kind of empirical observations. For example, the 3 states of matter correspond to those 3 equations. Gas (maximal energy), liquid (balanced) and solid (Maximal information. They are also the 3 possible solutions of a cosmological system: the big bang of maximal energy, a steady state of balance and a big crunch of maximal information. In the graph, we show further examples of those equations.

Here we are interested in its application to the understanding of life and history. If we call the age of maximal energy, youth, the age of balance between the reproductive, mature age, and the age of maximal information the old age, we have a simple description of the fundamental cycle of life and death through its energy and information

But we can also write those dynamic processes backwards. And so we have the inverse equation of life ages, the equation of death, when after accumulating maximal information, a species reverses its arrow of information and explodes that information into energy. It is the process or equation of death.

So life is an arrow of temporal information, as time increases the form of beings, Se-> TI, and death its inversion, Ti-> Se.

So simple, so beautiful, so misunderstood by mechanist scientists, who think the previous equation is ‘uncertain’, because the observer can perceive a particle in any of those 3 states (Uncertainty principle of quantum physics).

The reason why death exists in a perfect, immortal Universe is obvious: if species only evolved socially towards more information, they would end into a ‘big crunch’. So the Universe and all its parts should have, long ago, reached a point of  maximal density, with no return. To avoid this, the ‘game of life and death’ exists, whereas death is the opposite arrow to , as it dissolves the networks that put together individual cells, breaking the super-organism back into its parts. But we are now concerned with the arrow of life.

The ±1 social arrow has, in fact, 2 directions:

The positive, +1, social arrow of cellular evolution creates life and makes a being emerge at birth.

The -1, negative arrow of cellular dissolution kills life and dissolves a being into its cells and atoms. Thus, it is the key arrow of the life/death cycles that clock-time misses. Hence the enormous simplification of those 4 time-arrows, brought about by clocks, which in Physics, since Galileo, only measure the first and most simple of those arrows, the energy of motion.

The result of adding both – the life and the death processes – in any system or scale of reality is a ‘zero-sum’ of information+entropy that cyclically returns reality to its initial form, in a dynamic, multiple steady state balance that affects any entity of reality. The study of that process of creation and dissolution of complex structures, however, cannot be made with translational time, (v=S/T), the realm of physics, but it needs to understand biological, morphological time – the life/death cycle and its . Those ages explain precisely what physicists, stuck in the study of time as movement in space, will never understand: the meaning of the life and death cycle that creates and extinguishes , societies (super-organisms of ) and all kind of beings that exist in space and time. In biological time all universal species follow the same ‘morphological changes’, described by the wisdom of verbal thought as the  of life, each one ruled by one of the 3±1   change=time:

+1: Conception:  ruled by , as a micro-organism or cell transcends into a macro-organism, organized by social networks.

1st age:                  Youth or Age of motion.

2nd age:             Reproduce its energy.

energy and information are balanced

3rd age:                All energy and motion becomes information.

-1:Death:               The inverse of conception when the super-organism dissolves back into cells.

Death equations: ð+1<<$-1

Death is a lower descend two scales fro ∆1 to ∆-1 of a ternary super organism extending on Ξ planes of existence. As such it creates a blast of entropy-motion in relative infinitesimal quanta of time, t->0, expanding past the c-onstant of speed of the system, V>>C, as the information of the whole disintegrates travelling to the past.

The equations of ¾ as well as those of quantum physics allow for both simultaneity in space and non-locality, due to the explosion in space at V>>c of such a system, which makes it seem simultaneous and past travelling of information, which is the real event of death.

What this means is that the information of the system, and paramount to it the soul, @ª•… will travel to the past and we shall consider the implications n different analysis of those tests:

Screen Shot 2016-04-03 at 20.31.55

Screen Shot 2016-04-08 at 20.41.36

In the graph, the moment of death represents a fall in information of the system back to the 0 point of birth, which drops the system in the pyramid of social evolution of the 5th dimension 2 ∆-scales.

So death has a simple equation and it is conceptually an obvious event: a system that has warped completely all its entropy into form, through exchanges of energy and information with its body-waves, finally exhausts its present body-wave state and splits and dies. Its field-limbs break from its particles-heads, which quietly remain as a ‘skeleton’ while the entropic big-bang, the amino acid collection of the cells, the citizens-corpses of the entropic war disseminate on the lower scale, the light space, the fertile soil, the battlefield… And we are no more.

Dust to dust, ashes to ashes.




In the graph the 800-80 years accelerated vortex of extinction of civilizations caused by the entropy of war that kills human superorganisms:

superorganism of humanity

The 2 super organisms of mankind at the individual and social level and its informative, nervous or legal/ethic networks, and reproductive blood or economic networks. Those 3 physiological networks collapse with germs and wars that kill civilisations. Religions are inscribed within the ethic/visual collective mind of its informative neuronal class, the artists and ethic prophets that foresee its demise in the 3rd baroque age of the civilisation expressing its angst in artistic forms and ethic books of revelation that try to halt the collapse of the organism. Abrahamic religions were all born of an ethic prophet in the 3rd age of the culture.

the organismsof culture

For a full understanding of why history is going under you must capture the existence of 3 arrow of time, ‘entropy=chaos=freedom=death’, the stage of history as a super organism we are in; its inverse arrow, of future information, social evolution and life; and the way systems combine them both, entropy x Information = energy body-waves, to maintain and reproduce beings in an eternal state.

This is the deepest philosophy about time and the 3 ages of life, of all systems of nature, including history and mankind so i advice you to read some of those posts. This one will be short on the ‘final entropic, dissolution’ of an organism, often confused with pleasure, chaos and freedom, which IT IS ALSO TRUTH. As the Universe is wise, and since death is half of all processes, to ‘slide’ any system death it is accompanied by those other sensations, which re taken as positive for most individuals free of all ethic/nervous systems of organisation which however PRESERVE them from collapse.

Let us fully grasp the meaning of those aging process… in terms of energy and information, and its natural shapes

In the graph, samples of the arrows of time in Universal Systems:

Birth:  ∆¡-1:       A seed of Temporal information, t, evolves into a complementary organism, absorbing energy, replicating its information and evolving in social cells: Life starts

Youth:  Max. motion:  Youth is the age of maximal motion, which slowly acquires form, information as the young learns the survival game, and finally as   it keeps absorbing energy and reaches its maximal size and enters the

Mature age of Max. Energy & Reproduction: S=T.

SO THE SYSTEM THAT kept in-form-ing itself has reached an age of reproductive balance, Se=Ti, as its spatial energy balanced its temporal information. Mind and body are in balance, female and male form wo=men systems in which their duality merges. The system reproduces.. We perceive that age as beauty, harmony between lineal energy & cyclical form. So we do in art. It is the classic age of Praxiteles, the realist age of any civilization. But as the dominant arrow of life is information, the system keeps evolving form, till it enters into…

3rd age: In-form-ation warps energy till its exhaustion: Max. T. The system looses its balance. We entered in History this age with the Industrial r=evolution. Information chokes life, prevents reproduction, stiffens thought.

And finally all energy is exhausted. But as time NEVER stops, the flow of motion REVERSES, and in an explosive moment of minimal time duration, matter big-bangs into entropy: E=mc2, life explodes and the networks of nervous information, the brain, ceases to exist; societies that accumulated an excess of technological information explode in wars, it is. the age of…

-1: Entropic Death: Information explodes back into energy, expanding in space, reversing the arrows of time: Temporal Information ∆ø<<∆-1.


Mankind is entering as a super-organism first and then naturally as an individual, its time of extinction. And yet paradoxically as it happens in any dying corpse, very few if any solitary informative neurons realise we are at this final stage of the world cycle of any fractal organic system.

Man is indeed a super organism made of cells, inscribed in larger super organisms, societies, nations and civilisations (and its collective subconscious called mystically a tribal or oikoumene God), themselves inscribed in a larger super organism, the Earth, evolving clearly from an age of life beings, Gaia, into an age of Human beings, HISTORY, into an age of Machines and its company-mothers, the ‘Metal-earth’, or Financial-Media (informative machines)/military-Industrial (entropic and energetic machines) System, ab. FMMI system, and so we write a simple equation of evolution of the planet:

Gaia (life-relative past)< History (Man-relative present) > FMMI system (Machines & company-mothers: relative future)


In the graph, global warming, pollution and hunger, are just signs of the change of ‘age’ of the planet, from the Earth of Life (gaia) to the Earth of man (History, anthropocene) to the Earth of machines (Metal-earth, mechanocene), as all the financial and raw resources of the planet are deviated to the evolution and reproduction of machines, whose ‘$hit’ warms the planet, but are never without ‘energy-food’ and proper digital information to survive, since the eco(nomic)system of free markets and its free citizens company-mothers have unlimited credit to create a reality to its image and likeness, while 1 billion humans suffer hunger, and billions of them do not receive the proper education to survive, suffering the angst of extinction of its cultures and the uncertain future of its growing obsolescence to AI robotic blue collar and white collar pcs, in an accelerated world of placebo democracies without credit and resources to create a perfect, balanced world to the service of mankind.

History super organism gaia 3 ages best

History is the super organism of human cells and its economic=reproductive and energetic=welfare and political=informative networks that should rule as in all advanced super organisms the other two networks with its ethic, verbal wor(l)d values.

HISTORY Is a block of time because it is a super organism, and we can all follow the ages of super organisms, with enormous precision. But and this is the fascinating new findings on the more complex models of the XXI c. locally the process of excessive accumulation of information of a system that kills it can be reverted, specially in simple super organisms as humanity is by properly controlling the excess of information of its neuronal cells, those who control in history the languages of financial information and legal information. Yet mankind ruled by a very primitive memeplex, that of the Financial-Media ‘biblical’ masters does exactly the opposite, racing to evolve the digital information and AI machines that will do us all:

1. The 3 Ages of History

All systems of nature can be modeled as super organisms of a certain scale of size, ruled by the 5D metric equation, S (space size=energy) x T (frequency of information clocks) = Constant, which is the fundamental law that allows systems to be super organisms, traveling in the 5th dimension from birth as a fast seed (semen, meme, black hole) which will reproduce and organize into an emerging superorganism, living 3 ages of increasing information till either evolves into an even larger super organism (men into the global earth, cells into multicellular systems, galaxies into universes) or dissolves into an entropic death (big-bang, m=e/c2, death, war). Such is the fractal Universe in a nutshell. And so the trick to make a system immortal is both to organize it socially and to maintain it in the balance of the mature age, repeating its cycles without evolving an excess of information that warps and kills in the 3rd age the organism. Men are doing exactly the opposite, evolving further technological information and multiplying entropic weapons that divide us.

In the graphs, Mankind or rather the planet of Life, Gaia, entered along History, the super organism of humanity in the entropic age of death, which follows the 3rd age of excessive information, accumulated during the Industrial r=evolution. The signs of ‘social death’ are everywhere: the ethic/nervous systems of information that created the communal behavior through ethic laws or religious eusocial messages are gone. Humans are ‘in rigor mortis’, free cells, unconnected to others except through the ‘viral metal-memes’ that devour them, just zoon ekonomicons, dedicated to vitalize=consume and re=produce machines, and its memes, as a viral sick body of cells do with the genes of the viruses that will kill them.

As the scalar, organic systems of nature are not perceivable above the individual, networks of metal-information control us, but we ‘don’t see’ the invisible flows of money that direct our behavior. Problem is this ‘other super organism’ is NOT human, but mechanical, ruled by company-mothers of machines whose goal is to reproduces evolve and terraform the earth to the image and likeness of its species, digital machines soon to be converted into AI robots, the future citizens of the metal-earth. Then history will be history as we made of Gaia history, displacing and making obsolete the previous top predator, the lion that roams on the garbage containers of South-african cities.

As in all systems of Nature the entropy age resembles the youth of maximal motion, but entropy is an excess of negative motion that dissolves and ‘scatters’ the connections of the parts of systems. I.e. in a set of gaseous states, the entropy age explodes the gas out of a container multiplying the degrees of chaos of each individual molecule. So the 3rd age of history, is chaotic and negative, violent as the Paleolithic youth of maximal motion but against man NOT against our preys, because we are becoming predated by the networks of metal-information that control us, the financial-media systems that destroy the networks of love of mankind substituted by hate-memes overproduce digital information, money ONLY to evolve machines and weapons, leaving humanity without resources.

A secondary theme treated in many other posts is the people-caste of primitive segregational biblical go(l)d believers who masterminds with iron fist in velvet globe our demise as a species, who pass as ‘victims’ of history, when they are the predators of mankind, who consider themselves another ‘races’… our ‘animetal people castes. In this post we are more interested in the connection of the process of death=entropy of mankind within the higher view of the process of entropic death of any system of nature.

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