#25. The Phasiverse [physics]

PH

Red, theory; black, fact

The nucleus around which a theory of everything will hopefully crystallize.

The Concept

Our reality, the world of appearances, is encoded in the relative phases of an ineffably large number of oscillators, each of which is a kind of primitive clock.

Inspiration from Quantum Mechanics 

An early interpretation of the theory of quantum mechanics was that there is a harmonic oscillator somehow assigned to each point in space, and that these account for the matter fields of the universe. Examples of oscillators would be a mass bouncing up and down on a spring and an electronic device called a tank circuit, which is just one capacitor connected across the terminals of one inductor. 

Consider Huygens's Clocks

If a set of such oscillators can communicate with each other (exchange oscillatory energy), this is called coupling, and it can make the oscillators tend to pull each other in to the same, common phase. The Huygens's clocks experiment began with two old-school pendulum clocks in a case with their pendulums swinging in some random phase relationship. The next day, mysteriously, the pendulums were found swinging in opposite directions. The coupling is evidently due to tiny, rhythmic forces travelling through the common supporting beam from clock to clock.

Enter Positive Feedback 

If the coupling is positive, as assumed here, (it's negative in the above experiment), the phase pull-in effect becomes stronger the closer the two phases approach each other, causing a positive feedback effect. This is very reminiscent of Hebb's rule in neuroscience and the tendency of natural attractive forces such as gravity to depend inversely on distance. 

A Organizing Principle 

The phase pull-in effect provides a simple answer to questions such as where the organizing principle comes from. All you need to explain is where the oscillators themselves all came from, how they oscillate, and why they are coupled. Since the oscillators begin life in spacelessness, they cannot avoid interacting to produce a coupling effect. Second, oscillators need no past or future; they can arise as a succession of causally related nows that alternates between two contrasting forms. Figures in Conway's game of Life would seem to be examples of this alternation.

Enter Entropy

A great many oscillators all with the same phase is not an interesting universe. However, suppose that this is impossible because of "train wrecks" happening during the synchronization process that produce frustration of the synchronization analogous to spin frustration in spin glasses. An example would be a cyclic relationship of oscillators in which a wave goes around the loop endlessly. Such cycles may correspond to particles of matter in our universe, and the spiral waves that they would throw off into surrounding space may correspond to the fields around such particles.

Gravitational Lensing Explained

A black hole or galaxy would be surrounded by a tremendous number of such radiating fields. The resulting desychronization of the oscillators making up the surrounding space would increase the average phase difference between phasically nearby oscillators, thereby inhibiting their coupling, thereby inhibiting the travel of signals generally through the region. Result: the speed of light is reduced in the vicinity, resulting in the bending of light rays, called gravitational lensing.

Quantization is not explained, which is a limitation of the present theory.

#24. Proxy Natural Selection from the Inside [evolutionary psychology, genetics]

EP   GE

Red, theory; black, fact

Morning hymn at Sebastian Bachs' By Toby Edward Rosenthal

What Does Darwinian Fitness Feel Like?

My first post on post-zygotic gamete selection (PGS) left open some questions, such as what it should feel like, if anything, when one is fulfilling the species objective function and being deemed "proxy-fit" by one's own hypothalamus.

How Our Emotions Program Us

I conclude that it's just what you would think: you feel joy and/or serenity. Joy is one of Ekman's six basic universal human emotions, the others being fear, anger, disgust, sadness, and surprise. I think that emotions collectively are the operations of the highest-level human behavioral program. (That is, the program in its broadest outlines.) The unpleasant emotions force you to get off the couch until they are taken care of, and joy lets you get back on. Thus, the unpleasant four are the starting emotions, and joy is the stopping emotion. 

Surprise may be a meta-emotion that tells you that your threshold for experiencing one of the other emotions is too high, and immediately lowers it. Each activation of an emotion may tend to lower the threshold for activating it next time, which implies a positive feedback loop capable of changing the personality to suit suddenly changed circumstances, especially if the emotion eventually begins issuing with no trigger at all.

Where Our Emotions Come From

To relate this to the mechanism of PGS, the crossing-over events that went into making the sperm cell that made a given person would theoretically affect brain development more than anything else, specifically connecting some random stimulus to one of the unpleasant primary emotions. This creates temperament, and thus  personality, which is the unique quality which they have to offer the world, and on which they are being tested by history. If the actions to which their own, special preferences propel them are what the species objective function is looking for, they succeed, feel joy and serenity, and experience an altered methylation status of the DNA in the spermatogonia if male, which suppresses further crossing over in the manufacture of sperm, so that their personality type breeds true, which is what the population needs. Famous musical families, for example, may originate in this way.

PGS is quick evolution to respond to challenges that come and go on less than a multi-thousand generation timescale, and it explains the complexities of sexual reproduction.

A Flaw in the Argument, Addressed

However, trees have no behavior, much less personalities, and yet they have sexual reproduction. However, trees probably adapt quickly not by behavioral change, but by changes in their chemistry. The chemistry in question would be the synthesis of pesticidal mixtures located in the central vacuole of each plant cell. In terms of such mixtures, each tree should be slightly unique, an easily testable prediction.

The Big Picture 

Each of the four unpleasant "starting" emotions may sub-serve one of the four pillars of the species objective function. Thus: sadness, altruism; disgust, genetic diversity (due to point mutations; what is motivated here is the screening of such novelties during mate selection, screening always being the expensive part); fear, memetic diversity (or motivating prescreening of memetic novelties through fear of public speaking); anger, dispersal.

Each of these emotions seems to have another use, in preserving the life of the individual, as opposed to the entire species. Thus: sadness, unfavorable energy balance; disgust, steering one away from concentrations of harmful bacteria; fear, avoidance of injury and death; anger, driving away competitors for food and mates.

Picture credits: https://commons.wikimedia.org/wiki/Commons:Copyright_tags/Country-specific_tags#United_States_of_America

#23. The Pictures in Your Head [neuroscience]

NE

Red, theory; black, fact

This was once a picture in my head.

The Brain in Spacetime 

My post on the thalamus suggests that in thinking about the brain, we should maintain a sharp distinction between temporal information (signals most usefully plotted against time) and spatial information (signals most usefully plotted against space). Remember that the theory of General Relativity, which posits a unified space-time, applies only to energy and distance scales far from the quotidian.

The Time Laplace Transform as Data Compression in the Brain 

In the thalamus post, I theorized about how the brain could tremendously data-compress temporal information using the Laplace transform, by which a continuous time function, classically containing an infinite number of points, can be re-represented as a mere handful of summarizing points called poles and zeroes, scattered on a two-dimensional plot called the complex frequency plane. Infinity down to a handful. Pretty good data compression, I'd say. The brain will tend to evolve data-compression schemes if these reduce the number of neurons needed for processing (I hereby assume that they always do), because neurons are metabolically expensive to maintain and evolution favors parsimony in the use of metabolic energy.

Ultimately, the efficiency of the Laplace transform seems to come from the fact that naturally-occurring time functions tend to be pretty stereotyped and repetitious: a branch nodding in the wind, leaves on it oscillating independently and more rapidly, the whole performance decaying exponentially to stillness with each calming of the wind; an iceberg calving discontinuously into the sea; astronomical cycles of perfect regularity; and a bacterial population growing exponentially, then shifting gears to a regime of ever-slowing growth as resources become limiting, the whole sequence following what is called a logistic curve.

Nature is very often described by differential equations, such as Maxwell's equations, those of General Relativity, and Schrodinger's Equation, the three greats. Other differential equations describe growth and decay processes, oscillations, diffusion, and passive electrical and mechanical systems.

A differential equation is one that contains at least one symbol representing the rate of change of a first variable versus a second variable. Moreover, differential equations seem to be relatively easy to derive from theories. The challenge is to solve the equation, not for a single number, but for a whole function that gives the actual value of the first variable versus the second variable, for purposes of making quantitative, testable predictions, thereby allowing testing of the theory itself. The Laplace transform greatly facilitates the solution of many of science's temporal differential equations, and these solutions are remarkably few and stereotyped: oscillations, growth/decay curves, and simple sums, magnifications, and/or products of these. Clearly, the complexity of the world comes not from its temporal information, but from it's spatial information. However, spatial regularities that might be exploited for spatial data compression are weaker than in the temporal case.

Space Data Compression Takes More Brain Cells

The main regularity in the spatial domain seems to be hierarchical clustering. For an example of this, let's return to the nodding branch. Petioles, veins, and teeth cluster to form a leaf. Leaves and twigs cluster to form a branch. Branches and trunk cluster to form a tree. Trees cluster to form a forest. This spatially clustered aspect of reality is being exploited currently in an approach to machine intelligence called "deep learning," where the successive stages in the hierarchy of the data are learned by successive hidden layers of simulated neurons in a neural net. Data is processed as it passes through the stack of layers, with successive layers learning to recognize successively larger clusters, representing these to the next layer as symbols, which are simplifications to aid further cluster recognition. This technology is based on discoveries about how the mammalian visual system operates. (For the seminal paper in the latter field, see Hubel and Wiesel, Journal of Physiology, 1959, 148[3], pp 574-591.)

Visual information passes successively through visual areas Brodmann 17, 18, and 19, with receptive fields becoming progressively larger and more complex, as would be expected from a hierarchical process of cluster recognition. The latter two areas, 18 and 19, are classed as association cortex, of which humans have the greatest amount of any primate. However, cluster recognition requires the use of neuron specialist sub-types, each looking for a very particular stimulus. To even cover most of the cluster-type possibilities, a large number of different specialists must be trained up. This does not seem like very good data compression from the standpoint of metabolic cost savings. Thus, the evolution of better ability with spatial information should require many more new neurons than in the case of temporal information.

My hypothesis

What is conferred by the comparatively large human cerebral cortex, especially the association cortices, is not general intelligence, but facility with using spatial information. We take it on and use it copiously. Think of a rock-climber sizing up a cliff face. Think of an architect, engineer, tool-and-die maker, or trades person reading a blueprint. Now look around you. Do we not have all these nice buildings to live and work in? Can any other animal claim as much? My hypothesis seems obvious when you look at it this way.

Clarifications

Mere possession of a well developed sense of vision will not necessarily confer such ability with spatial information. The eyes of a predatory bird, for instance, could simply be gathering mainly temporal information modulated onto light, and used as a servo error for dynamically homing in on prey. To make a difference, the spatial information has to have someplace to go when it reaches the higher brain. Conversely, our sense of hearing is far from useless in providing spatial information. We possess an elaborate network of brain-stem auditory centers for accomplishing exactly this. Clearly, the spatial/temporal issue is largely separable from the issue of sensory modality.

You may argue that the uniquely human power of language suggests that our cortical advantage is used for processing temporal information, because speech is a spaceless phenomenon that unfolds only in time. However, the leading theory of speech seems to be the Wittgenstein picture theory of meaning, which postulates that a statement shows its meaning by its logical structure. Bottom line: language as currently understood is entirely consistent with my hypothesis that humans are specialized for processing spatial information.

The Status of Visualization Today

Since fossil and comparative evidence suggests that our large brain is our most recently evolved attribute, it is safe to suppose that it may be evolving still, for all we know. There may still be a huge existential premium on possession of improved spatial ability. For example, Napoleon's strategy for winning the decisive Battle of Austerlitz while badly outnumbered seems to have involved a lot of visualization. The cultural face of the zeitgeist may reflect this in shows and movies where the hero prevails as a result of superior use of spatial information. (e.g., Star Wars, Back to the Future, and many Warner Bros. cartoons). Many if not most of our competitive games take place on fields, courts, or boards, showing that they test the spatial abilities of the contestants. By now, the enterprising reader will be thinking, "All I have to do is emphasize the spatial [whatever that means], and I'll be a winner! What a great take-home!"

Don’t get your hopes up, because all this is full of theory.

#22. Proxy Natural Selection: The God-shaped Gap at the Heart of Biology [genetics, evolution]

EV   GE

Red, theory; black, fact

The Problem and My Solution 

Some entity must be responsible for compensating for the fact that our microbial, insect, and rodent competitors evolve much faster than we do because of their shorter generation times. In these pages, I have been variously calling this entity the intermind, the collective unconscious, the mover of the zeitgeist, and the real, investigable system that the word "God" points to. I here recant my former belief that epigenetic marks are likely to be the basis of an information storage system sufficient to support an independent evolution-like process. I will assume that the new system, "post-zygotic gamete selection" (PGS) is DNA-based.

Background 

First, a refresher on how standard natural selection works. DNA undergoes various mutations that add diversity to the genome. The developmental process translates the various genotypes into a somewhat diverse set of phenotypes. Existential selection then ensues from the interaction of these phenotypes with the environment, made chronically stringent by population pressure. Differential reproduction of phenotypes then occurs, leading to changes in gene frequencies in the population gene pool. Such changes are the essence of evolution.

My Solution, Big Picture 

PGS assumes that the genome contains special if-then rules, perhaps implemented as cis-control-element/structural gene partnerships, that collectively simulate the presence of an objective function that dictates the desiderata of survival and replaces or stands in for existential selection. A given objective function is species-specific but has a generic resemblance across the species of a genus. The genus-averaged objective function evolves by species-replacement group selection, and can thus theoretically produce altruism between individuals. The if-then rules instruct the wiring of the hypothalamus during development, which thereby comes to dictate the organism's likes and dislikes in a way leading to species survival as well as (usually) individual survival. Routinely, however, some specific individuals end up sacrificed for the benefit of the species.

The PGS Mechanism 

Crossing-over mutations during meiosis to produce sperm increase the diversity of the recombinotypes making up the sperm population. During subsequent fertilization and brain development, each recombinotype instructs a particular behavioral temperament, or idiosyncratotype. Temperament is assumed to be a set of if-then rules connecting certain experiences with the triggering of specific emotions. An emotion is a high-level, but in some ways stereotyped, motor command, the details of which are to be fleshed out during conscious planning before anything emerges as overt behavior. Each idiosyncratotype interacts with the environment and the result is proxy-evaluated by the hypothalamus to produce a proxy-fitness (p-fitness) measurement. The measurement is translated into blood-borne factors that travel from the brain to the gonads where they activate cell-surface receptors on the spermatogonia. Good p-fitness results in the recombination hot spots of the spermatogonia being stabilized, whereas poor p-fitness results in their further destabilization. 

Thus, good p-fitness leads to good penetrance of the paternal recombinotype into viable sperm, whereas poor p-fitness leads to poor penetrance because of many further crossing-over events. Changes in hotspot activity could possibly be due to changes in cytosine methylation status. The result is within-lifetime changes in idiosyncratotype frequencies in the population, leading to changes in the gross behavior of the population in a way that favors species survival in the face of environmental fluctuations on an oligo-generational timescale. On such a timescale, neither standard natural selection nor synapse-based learning systems are serviceable.

Female PGS Is Different 

However, egg cells mature in utero and therefore face a selection disconnect or delay. The female version of crossing over may set up a slow, random process of recombination that works in the background to gradually erase any improbable statistical distribution of recombinotypes that is not being actively maintained by PGS.

A Better Theory of Female PGS 

First, a definition. PGS focus: a function that is the target of most PGS. Thus, in trees, the PGS focus might be bio-elaboration of natural pesticides. In human males, the PGS focus might be brain development and the broad outlines of emotional reactivity, and thus behaviour. In human females, the PGS focus might be the digestive process. The effectiveness of the latter could be evaluated while the female fetus is still in the womb, when the eggs are developing. The proxy fitness measure would be how well nourished the fetus is, which requires no sensory experience. This explains the developmental timing difference between oogenesis and spermatogenesis. Digestion would be fine tuned by the females for whatever types of food happen to be available in a given time and place.

Experimental evidence for the proposed recombination mechanism of PGS has been available since 2011, as follows:

Stress-induced recombination and the mechanism of evolvability

by Weihao Zhong; Nicholas K. Priest

Behavioral Ecology and Sociobiology, 03/2011, Volume 65, Issue 3

Abstract:

“The concept of evolvability is controversial. To some, it is simply a measure of the standing genetic variation in a population and can be captured by the narrow-sense heritability (h2). To others, evolvability refers to the capacity to generate heritable phenotypic variation. Many scientists, including Darwin, have argued that environmental variation can generate heritable phenotypic variation. However, their theories have been difficult to test.

 Recent theory on the evolution of sex and recombination provides a much simpler framework for evaluating evolvability. It shows that modifiers of recombination can increase in prevalence whenever low fitness individuals produce proportionately more recombinant offspring. Because recombination can generate heritable variation, stress-induced recombination might be a plausible mechanism of evolvability if populations exhibit a negative relationship between fitness and recombination. Here we use the fruit fly, Drosophila melanogaster, to test for this relationship.

We exposed females to mating stress, heat shock or cold shock and measured the temporary changes that occurred in reproductive output and the rate of chromosomal recombination. We found that each stress treatment increased the rate of recombination and that heat shock, but not mating stress or cold shock, generated a negative relationship between reproductive output and recombination rate. The negative relationship was absent in the low-stress controls, which suggests that fitness and recombination may only be associated under stressful conditions. Taken together, these findings suggest that stress-induced recombination might be a mechanism of evolvability.”

However, my theory also has a macro aspect, namely that the definition of what constitutes "stress," in terms of neuron interconnections or chemical signalling pathways, itself  evolves, by species-replacement group selection.

#21. The Cogs of Armageddon [evolutionary psychology]

EP

Red, theory; black, fact

The Mechanism of Human Dispersal 

How does everyday human behaviour eventually accomplish the biological function of dispersal for the human race? 

Background 

Dispersal is things like dandelions shedding airborne seeds, slime molds developing into spore cases on stalks and releasing the spores into the wind, territorial systems of birds and mammals forcing the unlanded young to seek widely for their own territories, and humans going into space because our science fiction writers keep scaring us about the possibility of meteor crashes wiping out life on Earth. 

The slime mold Dictyostelium is triggered into its dispersal program by the food supply running short; I will adopt the assumption that the human dispersal program is also triggered by the end of the good times, that is, the price of bread rising relative to wages.

The Psychology of Dispersal

Human neural pathways may potentiate aggression when the hard times come, but of an elaborate kind featuring many evolved adaptations that ensure efficient dispersal (i.e., with minimal loss of life). 

Our evolved dispersal program begins with a two-person feud of the sort illustrated in cultural references too numerous to mention. An arbitrary stimulus, made offensive by some piece of Pavlovian conditioning, is traded back and forth with rapidly increasing energy. 

Features of Human Dispersal Explained by Evolution 

1) The emotional component is strongly threatening because the participants must be induced to seek allies, which people do when  threatened, until all of society is eventually polarized. The acts of provocation being traded back and forth become progressively more outrageous, as they must, to keep the polarization process going. Eventually, one side gets the upper hand and forces the other to flee.

2) The result is a diaspora, i.e., dispersal. Because of the long polarization process, an entire group is expelled, not single individuals one at a time. Thus, members of such a group can assist each other to survive and relocate, thereby reducing the mortality associated with dispersal, thereby making the dispersal event more efficient in terms of number of people relocated.

3) The group who flees is then seen by the international community as the blameless victim, and the group who stays is seen as the unprincipled aggressor. This tends to elicit a sheltering of the refugees and an intimidation of the "aggressor," who is deterred from pressing his advantage, that is, pursuing the refugees and slaughtering them to the last man, which is what each side would like to do to the other by this point. This, again, is an efficiency from the point of view of producing dispersal.

4) However, if each side is continually threatening the other, why don't they flee each other's presence during the very early stages? Humans may have a reflex that converts feeling threatened into a wish to injure the threatening party, possibly a behavioural leftover from some earlier adaptation, such as an anti-predation defence. To injure, you have to stick around. 

5) Finally, settled refugees usually do not integrate completely into the host society, instead forming ethnic neighbourhoods. Being seen as ethnic by the host society, due to slow integration, could improve the reproductive success of refugees because of disassortative mate-choice effects evolved to favor genes that produce dispersal.

6) The dispersal-producing dynamic just outlined is powerful, because it must overcome all the reasons a person would not leave their homeland forever at some arbitrary time: expense, risk of mortality in transit, opportunity costs, temporary loss of livelihood, need to learn a new language and customs, vulnerability to exploitation in the new country, etc.

#20. Is Higher Math Really Undiscovered Physics? [physics]

PH

Red, theory; black, fact

Back to the Aether Theory 

This post was inspired by the realization that to progress in physics, we need to accept the Newtonian position that absolute space exists. Not only that, but that absolute space is complicated, like a network, crystal, or condensate.

The Reasons

1) Too many fundamental constants of nature (20, according to Lee Smolin) are required to explain the behaviour of supposedly elementary particles with no internal structures to which such constants could refer. 

2) The wave model and the particle model of mass and energy are both very useful in Quantum Mechanics, our best theory of the very small. The wave model demands some kind of medium and thus an absolute frame of reference. The particle model, however, does not demand its absence. For example, observing frictionless motion of a particle could be due to the absolute frame of reference being a region of superfluid. Relativity theory uses the particle model exclusively and denies the existence of an absolute frame of reference, but this conclusion comes at the end of a long and convoluted chain of reasoning and is thus weaker than the claim made by use of the wave model.

3) The importance of the speed of light in Relativity is highly consistent with the wave model: it could be the propagation speed of the waves underlying both matter and energy.

The Medium is Complex

Thus, I assume that the fundamental constants refer to the vacuum between the particles, now more readily understood as a complex medium. Looking at the pattern set by the rest of physics and cosmology, such a medium may more readily be understood as a condensate of myriad "space-forming entities." Matter would be flaws in this condensate, entropy left over from its rapid formation. Energy may have the same relation to time: irregularities in its rate of progression.

The Thought Barrier 

To theorize about how space formed and what came before it, we have to give up visualization. I suspect this will be a big deal for most physicists. However, the abstractions of higher math may be an island of understanding already existing on the far side of the spatial thought barrier.

Beyond the Thought Barrier 

In other words, sets, integers, categories, mappings, etc., may be concrete things, and not abstractions at all. Presumably, our spatial and temporal reality still bears the properties it had from the very earliest stages of the universe, co-existing with later-developed properties, which have enabled mathematicians throughout history to access the deepest levels of description of reality, deeper than space-time itself.

Set Theory as Physics Beyond the Barrier

Consider set theory. Can the familiar concepts of set, union, intersection, and complement be placed into correspondence with physical processes and objects in today's space-time to make a case that set theory is pre-spatial physics, so primordial as to be unimaginable if thought of as the rules of a real universe? 

Development 

1) To get started, we have to begin with Leibniz's monads, the "empty set," now considered a real thing. (If you must visualize these, visualize something unpretentious like Cheereos™ floating in milk, when the bowl has reached the single-layer stage.)

2) The physical process of binding is prefigured by the set-theoretical operation of union. In the simplest case, two monads combine to form a second-order set.

3) The physical process of pattern recognition, which is, in essence, energy release, is prefigured by intersection. Note that with intersection, the internal subset structure of the set is important, suggesting that the "operating system" of the universe at this stage must keep track of such structures.

4) We can associate a size measure with a set, namely the total of all the monads inside it once all subsets have been accounted for. The usefulness of numbers in dealing with the world is explained if this size measure is the basis of laws governing what sets may combine as unions and in what frequency (i.e., fraction of all sets extant.)

5) The fact that most of physics seems to be governed by differential equations may be prefigured by a tendency of these combining laws to depend on the difference of two sizes. 

6) The set-theoretical operation of complementation may prefigure the existence of positive and negative charge and the Pauli exclusion principle of fermions, on which molecular complementarity  interactions depend.

#19. The Two-clock Universe [physics]

PH

Red, theory; black, fact

Is This Reasonable?

The arrow of time is thought to be thermodynamic in origin, namely the direction in which entropy (disorder of an isolated system) increases in an isolated system. Entropy is one of the two main extensive variables of thermodynamics, the other being volume. Since we live in an expanding universe, the direction of cosmological volume increase may be a second arrow of time; it's just not our arrow of time.

Background 

One of the outstanding problems of cosmology is the nature of dark energy, thought to be responsible for the recently discovered acceleration of the Hubble expansion. Another problem is the nature of the inflationary era that occurred just after the big bang, a concept that was originally introduced to explain why the distribution of matter in the universe is smoother than predicted by the original version of the big bang.

Cosmological Expansion by Two Clocks

Suppose that the entropy of the universe slowly oscillates between a maximal value and a minimal value, like a mass oscillating up and down on the end of a spring, whereas the volume of the universe always smoothly increases. Thus, entropy would trace out a sinusoidal wave when plotted against volume.

If the speed of light is only constant against the entropic clock, then the cosmological acceleration is explainable as an illusion due to the slowing of the entropic increase that occurs when nearing the top of the entropy oscillation, just before it reverses and starts down again. The cosmological volume increase will look faster when measured by a slower clock.

The immensely rapid cosmological expansion imputed to the inflationary era would originate analogously, as an illusion caused by the slowness of the entropy oscillation when it is near the bottom of its cycle, just after having started upward again.

Mechanistic Details

These ideas imply that entropy at the cosmological scale has properties analogous to those of a mass-and-spring system, namely inertia (ability to store energy in movement) and stiffness (ability to store energy in fields). The only place it could get these properties appears to be from the subatomic particles of the universe and their fields. Thus, there has to be a hidden network of relationships among all the particles in the universe to create and maintain this correspondence. Is this the meaning of quantum-mechanical entanglement and quantum-mechanical conservation of information? However, if the universe is closed, properties of the whole universe, such as a long circumnavigation time at the speed of light, could produce the bounce.

The Fate of the Universe 

These ideas also imply the apocalyptic conclusion that all structures in the present universe will be disassembled in the next half-period of the entropy oscillation. The detailed mechanism of this may be an endothermic re-absorption of infrared and microwave photons that have circumnavigated a closed universe and returned to their starting point. Enormous amounts of phase information would have to be preserved in intergalactic space for billions of years to make this happen, and here is where I depend heavily on quantum mechanical results.