#78. My Thinking on Evolutionary Psychology: Summary to Date

EP

Red, theory; black, fact

Darwin's first diagram of evolution

The behavioral innovations occurring in the evolutionary sequence leading to ourselves may have been, in chronological order:

• H. habilis:  tool manufacturing and gender roles.
• H. erectus: systemic refugee production, dispersal, ethnicity, and language.
• Early H. sapiens: warfare, shelter building, and tricksterism.
• Late H. sapiens: siege resistance and religion.

General hypotheses: 1) The earlier the innovation, the less modifiable it will be; 2) The dominant neuromodulators that organize the innovations emerging post-H. habilis will be noradrenalin (primordial organizer of responses to intraspecific competition) and serotonin (primordial organizer of responses to predation). 3)  Siege resistance is the adaptive form of the corresponding failure mode siege mentality.

Picture credit: Wiki Commons

#77. The Anorthosite Problem [chemistry]

CH

Red, theory; black, fact

Labradorite facade on Bank Street, Ottawa, ON

The “anorthosite problem” is a problem in geology. Anorthosite is a rock made mostly of a calcium-rich type of feldspar. Labradorite is a well-known example. The moon rocks from the lunar highlands are anorthosites. 

Existing Theory

When a magma chamber far below the surface cools and solidifies into rock, it does so very slowly because of the insulation provided by the overlying rocks. Slow cooling leads to big mineral grains in the eventual rock because each grain is a crystal of some mineral, and there is plenty of time for crystal growth.

As the temperature slowly falls, one type of mineral after another comes out of the magma, in a fixed sequence. The iron-rich minerals fall to the bottom of the chamber and collect there, while the calcium and sodium types of feldspar float to the top of the chamber and collect there. 

Anyway, that’s the theory. It predicts that anorthosites will be underlain by iron-rich rocks like gabbro, peridotite, amphibolite, and serpentinite, some of which are called greenstones.

The problem is that immense deposits of anorthosite are not found in association with any iron-rich rocks. 

My Emphasis

Interestingly, the biggest of these anorthosite deposits are the oldest, dating from the Archean and Proterozoic eras of geological history.  And thereon, I believe, hangs a tale.

Radioactive isotopes can be expected to have been much more abundant in the distant past than now if we extrapolate their exponential decay curves backwards in time to those eras. 

Moreover, all the natural radioactive elements are incompatible with the crystal lattices of the main rock-forming minerals crystallizing around when anorthosite does. Therefore, they will stay in the melt and get concentrated there as the rock-formers leave. The energy of their radiation will be converted into additional heat in the dense magma before the radiation can escape. 

My Solution

Therefore, the radioactive self-heating of the residual magma will become progressively stronger until the cooling process almost stalls, leading to a long-lasting plateau in the cooling curve of the magma.

During the plateau, which may actually be a second and slower exponential, the loss of the iron-rich minerals has time to run to completion, resulting in a large magma emplacement that forms only granite, a low-iron rock. The iron-rich greenstones will be under that, and nowhere near the anorthosite at the very top. This is the sequence we actually observe.

Therefore, the early anorthosite deposits, however massive, will have no iron-rich rocks in sight.

QED.

P.S. The crystals forming during the plateau phase will be notably large due to the especially slow cooling. This may be the origin of the large crystals categorized as phenocrysts.

#72. The Restricted Weathering Theory of Abiogenesis [chemistry, evolution]

EV   CH

Red, theory; black, fact

Urban lichen in the original ecological niche

Starting at the Start

When the early Earth, which was initially molten, had cooled sufficiently to acquire a solid crust and allow liquid water to accumulate on the surface, the formation of the oceans presumably began.

The Original Energy Source: Weathering

Seawater forms from steam outgassing from volcanic vents, which simultaneously emit acid gasses such as hydrochloric acid. Therefore, the first rain would have been highly acidic. In the normal course of events, volcanic rain falls on surface rocks that contain sufficient alkalinity to completely neutralize the acid, contributing cations such as sodium in the process and producing salt water. 

Key Original Difference

However, shortly after the formation of the Earth’s crust, the surface rocks may have been mostly encapsulated in carbonaceous pyrolysis residues originating from carbon-bearing gasses in the atmosphere. How is the acid rain supposed to get to the rocks?

The Germ of an Idea

I postulate that sometimes it did, and sometimes it didn’t, leading to a scenario of nascent crust covered in interconnected puddles in which a broad range of pHs were simultaneously represented. At the connecting points, a pH gradient would have existed, which recalls the pH gradient across the mitochondrial membrane that powers ATP synthesis. So, that's basically my angle.

Second-iteration Theory

More simply, a lump of lava coated in a capsule of pyrolysis residue and immersed in acid rainwater will have a proton gradient across the capsule with the correct direction to model the inner mitochondrial membrane with its enclosed matrix.

The carbon-bearing gasses in the atmosphere would have been methane, carbon monoxide, and the result of their combination with water (formaldehyde),  nitrogen (cyanide and cyanogen), and sulfur (DMSO, only plausible), all triggered by solar ultraviolet. This suggests that the pyrolysis residues will contain sulfur, oxygen, and nitrogen heteroatoms, as does coal. An imaginary pore through the capsule will be lined with such heteroatoms, which are candidates for playing the role of the arginine, lysine, aspartate, and glutamate residues in the ATP synthase catalytic site. Protonation-deprotonation reactions would be available for powering the formation of polyphosphate (a plausible ATP precursor) from orthophosphate. The conformational changes so important in the modern ATP synthase do not appear to be available in this primordial system, so we need to demonstrate the presence of an equivalent. Conceivably, the phosphorus-rich chemicals diffuse up and down in the pore, producing proton transport as they do so that is linked to phosphate condensation reactions. Judging by the modern ATP synthase, coordination of phosphate to magnesium ions may also be part of the mechanism. Mafic rocks such as basalt, a likely early surface rock, are rich in magnesium.

Third-iteration Theory

The flux of acid through the pore will dissolve orthophosphate out of some minerals in the rock such as apatite. If we suppose that the pore is lined with carboxylic acid groups modelling glutamate and aspartate side chains, then at some depth in the pore the pH in the pH gradient will equal the pKa of the acid, and the acid groups will spend half their time protonated and half ionized, resulting in general acid-base catalysis in a narrow zone in the pore. Magnesium-complexed orthophosphate will be catalytically converted to an equilibrium mixture containing some pyrophosphate in this zone and then proceed to diffuse out the exterior opening of the pore before it can be converted back. As a result, the condensing agent pyrophosphate will be available in the early oceans for catalyzing the formation of organic macromolecules such as early proteins and nucleic acids, which are forerunners of important building blocks of modern life forms. 

The efficiency of the pyrophosphate synthesis would be enhanced by a high phosphate concentration, which would be due to the restricted, under-film spaces in which the weathering processes were occurring.

Fourth-iteration Theory

The gradual expansion of the under-film weathered pockets eventually undermines the local pyrolysis film, causing a flake to detach. The remaining rock surface will be largely coated in the first organic polymers created by condensing agents at low temperature. The process then repeats, leading to successive generations of biofilm creation and detachment. At this point, an evolution-like biofilm selection process can be postulated. Polymer chain elongation from outer layer to inner layer would be likely. The outermost sub-layer will be at acidic pHs, which will cleave the outermost polymer into fragments. Some of these fragments will diffuse inward to the polymerization zone and influence events there, leading to a crude form of heredity. The programmed insertion of abscission points would have been an early development, and these may have prefigured the base pairing of modern polynucleotides. The sand produced as a byproduct of rock weathering will end up enmeshed in the polymer and will come off at abscission. 

Fifth-iteration Theory

Could all this happen inside narrow fissures in the rock? Not likely, because the pH gradient would be present only at the opening, a much smaller niche than the area under a surface film. However, the in-fissure microenvironment would be at alkaline pHs, where alkali-requiring reactions would be possible. An example would be the formose synthesis of C5 and C6 sugars from formaldehyde. A C5 sugar, ribose, is an essential ingredient in RNA synthesis. Fissures opening into the under-film spaces could supply sugars to the polymerization zone.

#71. A Cosmological Setting for a GR-QM Unification [physics]

PH

Red, theory; black, fact

To unify these points most simply, you have to go outside the region of points.

“The Sphere,” campus of the National Research Council, Ottawa 

Figure 1. The expanding 5-ball

Figure 2. A wave packet

The Big Picture

The spacetime of general relativity (GR) is here considered to be an expanding 4D hyperball (4-ball) on the surface of an expanding 5D hyperball (5-ball). The latter is surrounded by subatomic-sized 5-balls ("paramorfs") that can fuse with the big, nearby 5-ball, which is the mechanism by which the latter enlarges. (See Fig. 1). Technically, a “sphere” is just a surface, with a dimensionality one less than the embedding space. I use “ball” here to refer to the embedding space dimensionality.

The Little Picture

Each fusion event sends out a ripple on the surface of the big 5-ball that travels at the speed of light in vacuum. A sequence of fusions happening in the correct order causes the ripples to add up to a shock wave at some point. At the maximum of the shock wave, the surface of the 5-ball is thrown out especially far into the surrounding emulsion of paramorfs, where it makes contact with yet another paramorf, resulting in yet another fusion event and another ripple, which has the correct phase to add to the shock wave. The result is a self-sustaining cycle that leads to persistence and thus observable particle-like phenomena. (See Fig. 2). The shock-wave speed, or “group velocity” will be somewhat less than the speed of light, or “phase velocity” so that ripples will be bleeding out the front continuously. This feature of the theory was introduced to prevent the amplitude of the particle from growing without limit. If the particle is travelling exactly along the time dimension, this bleed will be into the future direction. Therefore, “the future” will have a limited physical reality.

This mechanism was inspired by the superradiant nitrogen laser, in which nitrogen is excited by a zone of corona discharge travelling at nearly the speed of light. This mechanism is also based on Born's rule of quantum mechanics (QM). If wave curvature rather than displacement amplitude determines paramorf fusion probability, then we get something even closer to Born’s rule, which states that the square of the wave function is proportional to the probability of observing a particle. The curvature of a sine wave is not its square, but the resemblance is striking. Perhaps an experimental verification of Born’s rule with unprecedented accuracy is warranted to distinguish the two theories. 

Making It Messier, Like Reality

The big 5-ball may be filled with an emulsion of yin paramorfs in a continuous yang phase, as well as being surrounded by an emulsion of yang paramorfs in a continuous yin phase. Droplets of yin space could get injected into the interior as a side effect after each yang paramorf fusion event. This would explain why curvature alone dictates fusion probability: a concavity reaching interior yin paramorfs is as effective as a convexity reaching exterior yang paramorfs, and no depletion zone will develop over time. Yin and yang space are terms coined in a previous post, “The Checkered Universe.”

The Inflationary Era

Particle formation is entropically disfavored (requires a precise configuration unlikely to arise by chance) and thus only happens when paramorf fusions are frequent due causes other than the presence of particles. Postulating that spontaneous fusions are more frequent when the curvature of the 5-ball is greater, spontaneous fusions will be abundant when the growing 5-ball is still tiny and thus intensely curved. This would be seen in our 4-ball as the inflationary era of the Big Bang. 

A problem is that the paramorfs themselves are the most intensely curved elements in this system. Possibly, a binary paramorf fusion event releases so much energy in such a confined space that the fusion product immediately splits apart, resulting in no net effect overall. Analogously, in gas-phase chemistry, some two-molecule reactions will not go without a third “collision partner” to carry off some of the energy released. 

Time

The surface of our 4-ball would be formed by the stable particles radiating out of our local inflationary zone on the 5-ball into newly-created, blank 4-surface (see Figure 1). This radiation would define the post-inflationary era. Our time dimension would be one of the radii. These particles propagate in time the given, as opposed to time the clock reading. The position of the particle along its track is the clock reading.

Mechanistic Variations

The illustrated mechanism of particle creation (see Figure 2) is periodic-deterministic and may account for photons and leptons. The corresponding chaotic mechanism may account for baryons, and the corresponding probabilistic mechanism may account for dark matter. The close relationship we see today between protons and electrons could have been due to their relationship during the inflationary era; the vicinity of one could have served as an incubator for the other.

Consistency with Relativity

The multitude of expanding spacetime ripples predicted to be around any massive object would comprise the spacetime curvature referred to by the Einstein tensor of the relativistic field equations. The asymmetry of the wave packet that leads to the shock wave accounts for momentum. According to special Relativity, mass-equivalent energy is just the spacetime component of the momentum along the time axis.

A Geometric Underpinning for this Theory

Fixing radius = 1, the 5-ball has the greatest volume of any ball dimensionality. (See the Wiki on “n-sphere”) Thus, this dimensionality could have been forced by some principle of minimizing the radius-to-volume ratio, call it a compaction principle (in a physical, not topological sense), the existence of which is already implied by the assumed ball shape. We cannot invoke gravity here to produce compaction because gravity emerges at a higher level of description than this. A surface tension-like effect related to the permittivity of free space may serve, which is already implied by invoking ripples on the surface. However, mention of ripples implies that the governing differential equation has oscillatory solutions, which seems to also require a medium with inertia, which may be related to the permeability of free space.

Beyond Geometry

If an overarching process of yin-yang separation existed, which would explain why all observations are ultimately observations of contrasts, this process would arguably have a smoothing effect on any resulting interfaces. Such smoothing would suggest surface tension when considered spatially and inertia when considered temporally. I suspect that electromagnetism and matter waves emerge from these simple ingredients. Conservation of paramorf volume would enter the mathematical proof as a constraint.

A limitation of this theory is that it does not explain the assumed presence of discrete, ancient inflationary zones on the surface of the 5-ball.

A Sixth Dimension Is Necessary

Close inspection of the volume versus dimensionality curve for n-balls of radius 1 suggests that maximum volume occurs at a fractional dimensionality somewhat above 5, which looks to be about five and a quarter. Under the compaction principle, this circumstance would lead to a squashed (oblate) 6-ball about one-quarter as thick as it is wide, with greatest curvature at the equator. (Here I am making an analogy with the Earth’s surface, which is an oblate spheroid.) This uneven distribution of curvature would result in the equatorial region losing its inflationary status later than at the poles, suggesting that the universal equatorial region spawned all the particles we can now see during the late inflationary era and that our familiar 3-space corresponds to a line of latitude on the oblate 6-ball travelling steadily toward a pole. 

This scenario allows the existence of ancient, dilute matter of non-equatorial origin coexisting with our 3-space. This ancient, dilute matter could account for cosmic rays and some of the diffuse cosmic gamma glow. Some of these ancient particles would by chance approach us in our future light cones and would therefore interact with our 3-space as antimatter. The resulting annihilation events would produce gamma rays and neutrinos. Those particles that escape annihilation could potentially re-emerge from our spacetime in our past light cones and at a different point, becoming matter cosmic rays. Cosmic particles following spacelike trajectories may not interact strongly with us, like two waves crossing at right angles, but Born's rule predicts some interaction.

A Second Limitation of this Theory

Relativity theory denies the existence of an absolute frame of reference, which I have just re-introduced in the form of the surface of a large ball. Perhaps this limitation can be addressed by showing that the concept of no absolute frame of reference can be replaced with the concept of space-tilted matter, in which the lengths of meter sticks change due to a tilt of the structure of Figure 2 so that propagation is no longer purely in time, but now has a component in space, and the length change must be to a degree necessary to guarantee the null result of the Michelson--Morley experiment.

High Dimensionality

The surface of a 6-ball is a 5-dimensional space. Particle propagation on this surface uses up one of these dimensions, turning it into time. However, the resulting spacetime has four dimensions of space and we see only three. What happened to the other one? Most likely it was largely suppressed by black hole formation shortly after the inflationary era. Black hole formation should be very facile in four spatial dimensions because gravitational orbits are unstable and radiative cooling is relatively efficient. This places us on the event horizon of one of these 4-D black holes and suggests that the event horizon actually is the membrane it seems to be in some theoretical studies. Considered geometrically, the event horizon is a surface and will therefore have a dimensionality one less than that of the bulk. Life on this surface will therefore be three dimensional.

 

In addition, this theory clearly provides a multiverse, because there can be many such hyper black holes, thereby answering the fine-tuning-for-life problem that inspired the anthropic principle.

String theory posits that a particle is a one-dimensional vibrating string embedded in three dimensions. However, my theory posits that a particle is a three dimensional system embedded in six dimensions. We are situated in a privileged location in 6-space in which three of these dimensions have an inward and outward direction. An analogous point in 3-space would be the corner of a cube. The wave component of particles would oscillate along a vector that can rotate in a wholly extradimensional plane, and with an axis of rotation perpendicular to all three dimensions of space, possibly coinciding with time. This would be the spin of the particle. In the cube analogy, one of the edges parallel to the time dimension is spiraling. If the vector rotates in a plane contained within 3-space, this would be the circular polarization of light. A baryon might consist of a trio of fermions, one on each of the three edges meeting at the cube corner and each offset a short distance back from the corner. This arrangement might create a tiny, semi-closed chamber where ripples are concentrated and thus intensified. This, in turn, would enhance paramorf capture, which would dynamically stabilize the structure.

See Figure 3. In this figure, the instantaneous structure resembles one edge of a cube merging with a surface. The line between points A may function as a closed chamber for fusion ripples because of the right-angle relationships at each end, leading to intensified shock waves inside and intensified paramorf fusion. This, in turn, dynamically maintains the geometry shown.

Etymology: "warped spacetime," Greek: paramorfoménos chorochrónos, thus: "paramorf."

Figure 3. A hyper-black hole progressing across the surface of the big 6-ball. The three spatial dimensions of relativity theory have been suppressed for clarity and are represented by points A; t is time.

Tilting at a Conceptual Unification

In general, spacetime structures would tend to evolve to greater efficiency in paramorf capture, and deviations from these structures will appear to be opposed by forces. This can be cited as a general principle in exploring the present theory.

For example, two fermions could capture paramorfs cooperatively: capture by one triggers an expanding ripple that reaches the other and triggers its own capture. This second capture then sends a ripple back to the first fermion, where it triggers a third capture, and so on. This duetting action is formally like light bouncing back and forth between parallel mirrors, as in the light-clock thought experiment of special Relativity, and recalling the Michelson—Morley interferometer. If duetting efficiency maintains the length of meter sticks, we have the beginnings of the long-sought explanation of the null result of the Michelson—Morley experiment in terms that allow the existence of a medium for the wave aspect of particles.

Velocity in space relative to the medium upsets the spatial relationships necessary for efficient duetting, triggering a compensatory reorganization of the spacetime structure to re-optimize paramorf capture efficiency, by the general principle enunciated above. This leads to the Fitzgerald contraction, one of the two basic effects previously explained in terms of special Relativity. The Fitzgerald contraction was recently proven to be directly unobservable; rather, a rotation of the front of the object away from the line of travel is observed, as predicted by Penrose and Tyrell. https://doi.org/10.1038/s42005-025-02003-6. If this rotation looks the same from all observation angles (elevations), it would have to be a rotation into extradimensional space, which the present theory allows, and it is easy to visualize how that would maintain the efficiency of duetting at high velocity. Therefore, close study of the relativistic rotation effect may provide a window on extradimensional space.

The other basic relativistic effect is time dilation; if fermions are always literally travelling along a time dimension as postulated here in connection with the space-tilted matter concept, a greater velocity along any spatial direction must come at the expense of a lesser velocity along the time dimension, leading to time dilation.

Synchronization and anti-synchronization of fusion events between adjacent particles could account for the narrowness of the time slice we seem to be living in.

Duetting could account for attractive forces between fermions and duetting with destructive interference could account for repulsive forces. A difficulty is that the simple ripple model is one-sided whereas destructive interference assumes sinusoidal disturbances, which are two-sided. This could be remedied by assuming that the ripples have profiles like wavelets or the Laplacian of the Gaussian.

At the Limit of this Vision

Paramorf-ripple dynamics looks remarkably biological, featuring elementary processes that recall feeding and natural selection. Their cosmological setting cannot be the end of the story, however, because one naturally wonders where the entire ensemble of yin and yang space came from and why it has a bipartite nature. To answer these questions, it may be necessary to conceive an elemental version of the ultimate power of living things: reproduction. The ineffably great multiplicity of things demands an explanation.

Questions Arising 

• Do we need a new representation system to tackle the question of ultimate origins? 
• Do we merely need to shift from visual to verbal? 
• Is the concept of differentiation valuable here? For example, primordial undifferentiated space and time, primordial undifferentiated time and causation, or primordial undifferentiated somethingness and nothingness. 
• Is entropy increase the ultimate source of all differentiation? 
• Is the concept of primordial fluctuations valuable here? For example, should I proceed as I did in the abiogenesis post, from vacuum fluctuation to persistence by self-repair to growth to reproduction? 
• What is the effect of a vacuum fluctuation in the background of a previous fluctuation?
• Is circularity a key concept here? 
• Is positing an ultra-simplified version of something well known in other disciplines, a kind of consilience, a useful operation? 
• Is the concept of a primordial less-structured space valuable? For example, a topological space is less structured than a Euclidean space. 
• Is the strategy of bringing the observer into the system under study valuable here?
• The further back I go, the fewer the raw materials, but the fewer the constraints. How do I keep from losing my way?

Snail universe beside the Rideau canal. There may be perspectives in which what we consider our own universe looks no grander than this.

Zen weeds in the Rideau Canal. No explanation.

#64. The Checkered Universe [physics]

 PH

Red, theory; black, fact

The basic theoretical vision

This is a theory of everything (TOE) based on a foam model. The foam is made up of two kinds of "bubbles," or "domains": "plus" and "minus." Each plus domain must be completely surrounded by minus domains, and vice versa. Any incipient violation of this rule, call it the "checkerboard rule," causes domains of like type to fuse instantly until the status quo is restored, with release of energy. The energy, typically electromagnetic waves, radiates as undulations in the plus-minus interfaces. The result of many such events is progressive enlargement and diversification of domain sizes. This process, run backward in time, appears to result in a featureless, grey nothingness (imagining contrasting domain types as black and white, inspired by the Yin-and-Yang symbol), thereby giving a halfway-satisfying explanation of how nothing became something. Halfway, because it’s an infinite regress: explaining the phenomenon in terms of the phenomenon. Invoking progressively deepening shades of gray in forward time, to gray out and thus censor the regress encountered in backward time, looks like a direction to explore. A law of conservation of nothingness would require plus domains and minus domains to be present in equal amounts, although this can be violated locally. This law may be at the origin of all the other known conservation laws. The cosmological trend favors domain fusion, but domain budding is nevertheless possible given enough energy.

The givens assumed for this theory of everything. Since there are givens, it is probably not the real theory of everything but rather a simplified physics and possibly a stepping stone to the TOE.

The dimensionality question

The foam is infinite-dimensional. Within the foam, interfaces of all dimensionalities are abundant. Following Hawking, I suggest that we live on a three dimensional brane within the foam because that is the only dimensionality conducive to life. The foamy structure of the large-scale galaxy distribution that we observe thus receives a natural explanation: these are the lower-dimensional foam structures visible from within our brane. The interiors of the domains are largely inaccessible to matter and energy. However, we have an infinite regress again, this time toward increasing dimensionality: we never get to the bulk. Is it time to censor again and postulate progressively lessened contrast with greater dimensionality, and asymptotic to zero contrast? No; the foam model implies a bulk and therefore a maximum dimensionality, but not necessarily three. But what is so special about this maximum dimensionality? Let us treat yin-yang separation as an ordinary chemical process and apply the second law of thermodynamics to see if there is some theoretical special dimensionality. Assuming zero free energy change, we set enthalpy increase (“work”) equal to entropy increase (“disorder”) times absolute temperature. Postulating that separation work decreases with dimensionality and the entropy of the resulting space foam increases with dimensionality, we can solve for the special dimensionality we seek. The separation process has no intrinsic entropy penalty because there are no molecules at this level of description. The real, maximum dimensionality would be greater than theoretical to provide some driving force, which real transformations require. However, is the solution stable? Moreover, the argument implies that temperature is non-zero. Temperature is here the relative motion of all the minute, primordial domains. This could be leftover separation motion. How could all this motion happen without innumerable checkerboard-rule violations and thus many fusion events? Fusion events can be construed as interactions, and extra dimensions, which we have here, suppress interactions. More on this below. That said, the idea of primordial infinite dimensionality remains beguiling in its simplicity and possibilities.

Since infinite dimensionality is a bit hard to get your mind around, let us inquire what is diminished upon increasing the dimensionality, and just set it to zero to represent infinite dimensionality. Some suggestions: order, interaction, and correlation. To illustrate, imagine two 2-dimensional Ardeans* walking toward each other. When they meet, one must lie down so the other can walk over them before either can continue on their way. That's a tad too much correlation and interaction for my taste.

My intuition is that as dimensions are added, order, correlation, and interaction decrease toward zero asymptotically. This would mean that 4D is not so different from 3D as 3D is from 2D. The latter comparison is the usual test case that people employ to try to understand extra dimensions, but it may be misleading. However, in 4D, room-temperature superconductivity may be the rule rather than the exception, due to extradimensional suppression of the interactions responsible for electrical resistance. The persistent, circulating 4D supercurrents, which are travelling electron waves, may look like electrostatic fields from within our 3-brane, which would help to eliminate action-at-a-distance from physics. Two legs of the electron-wave circulation would travel in a direction we cannot point. These ideas also lead to the conclusion that electrostatic fields can be diffracted, which is the classical electron diffraction experiment. The electrons are particles and are therefore not diffracted; they are accelerated in an electrostatic field that is diffracted, thereby building up a fringe pattern on the photographic plate. The particles are just acting as field tracers. A difficulty is that the electrically neutral neutron can also be diffracted. A diffraction experiment requires that they move, however, which will provide a solution to be discussed.

Motion

Motion can be modelled as the array of ripples that spreads across the surface of a pond after a stone is thrown in. A segment of the wave packet coincides with the many minute domains that define the atoms of the moving object, and moves them along. The foam model implies surface tension, whereby increases in interface area increase the total energy of the domain. If the brane is locally thrown into undulations, this will increase the surface area of the interface and thus the energy. This accounts for the kinetic energy of moving masses.  

Brane surface tension would be a consequence of the basic yin-yang de-mixing phenomenon, because increases in interfacial area without volume increase (interface crumpling) can be construed as incipient re-mixing, which would go against the cosmological trend. Thus, the interface always tends to minimum area, as if it had surface tension. This tension provides the restoring force that one needs for an oscillation, which is important because waves figure prominently in this theory. However, a wave also needs the medium to have inertia, or resistance to change, and this is a limitation of the present theory.

Mass and fields

Mass would be due to the domains being full of standing waves that store the energy (equivalent to mass) of many historical merging events. The antinodes in the standing wave pattern would be the regular array of atoms thought to make up a crystal (most solid matter is crystalline). The facets of the crystals would correspond to the domain walls. 

The waves could be confined inside the domains by travelling across our 3-brane at right angles, strictly along directions we cannot point. However, something has to leak into the 3-brane to account for electrostatic effects. Crossing the 3-brane perpendicularly is possible by geometry if each particle is a hypersphere exactly bisected by the 3-brane, and mass-associated waves travel around the hypersphere surface. The neutron produces no leakage waves, which could be assured by the presence of a nodal plane coinciding with the spherical intersection of the particle hypersphere with the 3-brane. Electrons and protons could emanate leakage waves, a possibility that suggests the origins of their respective electric fields. However, the fact that these particles have stable masses means that waves must be absorbed from the 3-brane as fast as they exit, meaning that an equilibrium with space must exist. For an equilibrium to be possible, space must be bounded somehow, which is already implied by the foam model. Since we know of only two charged, stable particles, two equilibrium points must exist. This scenario also explains why all electrons are identical and why all protons are identical. If their respective leakage waves are of different frequencies, the two particle types could equilibrate largely independently by a basic theorem of the Fourier transform. Particles of like charge would interact with each other's leakage wave, resulting in a tendency to be entrained by it. This would account for electrostatic repulsion. Particles of opposite charge would radiate at different frequencies and therefore not interact, leading to no entrainment. However, since each particle is in the other's scattering shadow, it will experience an imbalanced force due to the shadow, tending to push it toward the other particle. This effect could explain electrostatic attraction. Gravity may also be due to mutual scatter shadowing, but involving a continuum spectrum of background waves, not the line spectra of charged particles. Background waves are not coupled to any domains, and so do not consist of light quanta, which, according to the present theory, are waves coupled to massless domain pairs. A bisected hypersphere particle model predicts that subatomic particles will appear to be spheres of a definite fixed radius and having an effective volume 5.71 x greater than expected from the same radius of a sphere in flat space. (5.71 = 1 + π x 1.5) Background waves that enter the spherical surface will therefore be slow to leave, a property likely to be important for physics.

A very close, even mutualistic, relationship between domain geometry and interface waves may exist, all organized by the principle of seeking minimum energy. Atomic nuclei within the crystal could be much tinier domains, also wave-filled but at much shorter wavelengths. The nuclear domains would sit at exactly the peaks of the electron-wave antinodes because these are the only places where the electron waves have no net component in the plane of the interface. 

The big picture 

Similar to the brane-collision theory, the big bang may have been due to contact between two cosmologically sized domains of four spatial dimensions and opposite type, and our 3-brane is the resulting interface. The matter in our universe would originate from the small domains caught between the merging cosmological hyper-domains. This could account for the inflationary era thought to have occurred immediately after the big bang. The subsequent linear expansion of space may be due to the light emitted by the stars; if light is an undulation in the 3-brane along a large extra dimension, then light emission creates more 3-brane all the time, because an undulating brane has more surface area than a flat one. 

* "Overview of Planiverse" page.

Photo by Karsten Winegeart on Unsplash

#60. The Trembling-Network Theory of Everything [physics]

PH

Red, theory; black, fact

The world of appearances is simulation-like, in that how we perceive it is strongly affected by the fact that our point of view is inside it, and illusions are rampant.

The slate-of-givens approach is intended to exploit consilience to arrive at a simplified physics that attributes as many phenomena as possible to historical factors and the observer's point of view. Simplified physics is viewed as a stepping-stone to the true theory of everything. The existence of widespread consilience implies that such exists.

The basic theory

The underlying reality is proposed to be a small-world network, whose nodes are our elementary particles and whose links ("edges" in graph theory) are seen collectively as the fields around those particles.

This network would be a crude approximation to a scale-free network (fractal network), but is only a recursion of three generations (with a fourth in the process of forming), each comprised of two sub-generations, and not an infinite regress. The first generation to form after the big bang was triangular networks that we call baryons. In the next generation, they linked up to form the networks underlying light atomic nuclei. These, and individual protons, were big enough to stably bond to single nodes (electrons) to form the network version of atoms. Above the atomic/molecular/electromagnetic level, further super-clustering took on the characteristics of gravitation. At the grandest cosmological scales, we may be seeing a fourth "force" that produces the foamy structure of galaxy distribution. The observations attributed to the presence of dark matter may be a sign that, at the intra-galactic scale, the nature of the "fields" is beginning to shift again.

I conjecture that throughout this clustering process, a continuous thermal-like agitation was running through all the links, and especially violent spikes in the agitation pattern could rupture links not sufficiently braced by other, parallel links. This would have been the basis of a trial-and error process of creation of small-world characteristics. The nature of the different "forces" we seem to see at different scales would be entirely conditioned by the type of clusters the links join at that scale, because cluster type would condition the opportunities for network stabilization by cooperative bracing. 

Mapping to known science

Formation and rupture of links would correspond to the quantum-mechanical phenomenon of wave-function collapse, and the endless converging, mixing, and re-diverging of the heat signals carried by the network would correspond to the smooth, reversible time-evolution of the wave-function between collapses. The experience of periodic motions would arise from heat recirculation in closed paths embedded in the network. 

The photoelectric effect that Einstein made famous can be given a network interpretation: the work function is the energy needed to simultaneously break all the links holding the electron to the cluster that is the electrode, and the observation of an electron that then seems to fly away from the electrode happens by calculation in the remaining network after it has been energized by energy in excess of that needed to break the links, returning back into the network from the broken ends.

Distance

All the ineffably large number of nodes in the universe would be equidistant from each other, which is possible if they exist in a space with no distance measure. Distance would be the number of nodes that an “observer” cluster contains divided by the number of links connecting it with the observed cluster.

The finite speed of light

The time-delay effect of distance can be described by a hose-and-bucket model if we assume that all measurements require link breaking in the observer network. The energy received by the measuring system from the measured system is like water from a hose progressively filling a bucket. The delayed overflow of the bucket would correspond to the received energy reaching threshold for breaking a link in the observer network. The fewer the links connecting observer to observed relative to the observer size (i.e., the greater the distance), the slower the bucket fills and the longer signal transmission is observed to take.

The above mechanism cannot transmit a pulsatile event such as a supernova explosion. It takes not one, but two integrations to convert an impulse into a ramp function suitable for implementing a precise delay. Signal theory tells us that if you can transmit an impulse, you can transmit anything. The second integration has already been located in the observer cluster, so the obvious place in which to locate the first integration is in the observed cluster. Then when the link in the observer cluster breaks, which is an endothermic event, energy is sucked out of both integrators at once, resetting them to zero. That would describe an observer located in the near field of the observed cluster. In the far field, the endothermic rupture would cool only the observer cluster; most of the radiative cooling of the observed cluster would come from the rupture of inter-cluster links, not intra-cluster links. Thus, hot clusters such as stars are becoming increasingly disconnected from the rest of the universe. This can account for the apparent recessional velocity of the galaxies, since distance is inversely proportional to numbers of inter-cluster links.

Oscillations

Oscillating systems may feature 4 clusters and thus 4 integrators connected in a loop to form a phase-shift oscillator. These integrators could be modeled as a pair of masses connected by a spring ( = 2 integrators) in each of the observer and observed systems (2 x 2 = 4 integrators).

Motion and gravity

Motion would be an energetically balanced breaking of links on one side of a cluster and making of links on the other side. This could happen on a hypothetical background of spontaneous, random link making and breaking. Acceleration in a gravitational field would happen if more links are coming in from one side than the opposite side. More links will correspond to a stronger mutual bracing effect, preferentially inhibiting link breaking on that side. This will shift the making/breaking equilibrium toward making on that side, resulting in an acceleration. The universal gravitational constant G could be interpreted as expressing the probability of a link spontaneously forming between any two nodes per unit of time.

Dimension

That the universe is spatially at least three-dimensional can be reduced to a rule that links do not cross. Why the minimum dimensionality permitted by this rule is the one we observe remains unexplained and is a limitation of the present theory. 

A universal law 

Heat of link formation = heat of link rupture + increases in network heat content due to increases in network melting point due to increases in mutual bracing efficiency. Melting point measures the density of triangles in the network.

Repulsive forces

Repulsive forces are only seen with electromagnetism and then only after ionization. When particles said to be oppositely charged recombine, neutral atoms are re-formed, which creates new triangles and thus increases melting point. The recombination of particles said to be of like charge creates relatively few triangles and is therefore disfavored, creating the impression of mutual repulsion.

 

Momentum

Links are directional in their heat conduction. A direction imbalance in the interior of a cluster causes motion by spontaneously transporting heat from front to back. Front and back are defined by differences in numbers of links to an arbitrary external cluster between front and back sub-clusters.

Case study of a rocket motor

A directional link can only be burned out by heat applied to its inlet end. During liftoff, the intense heat down in the thruster chambers burns out links extending up into the remainder of the craft. This leaves an imbalanced excess of links within the rocket body going the other way, leading to a persistent flow of heat downward from the nose cone. This cooling stabilizes links from overhead gravitationally sized clusters ending in the nose cone, causing them to accumulate, thereby shortening the "distance" from the nose cone to those clusters. Meanwhile, the heat deposited at the bottom of the rocket progressively burns out links from the rocket to the Earth, thereby increasing the "distance" between the rocket and the Earth. The exhaust gasses have an imbalanced excess of upward-directed asymmetric links due to the temperature gradient along the exhaust plume that serves to break their connection to the rocket and create the kind of highly asymmetrical cluster required for space travel. Link stabilization is likewise only responsive to what happens at the inlet end. 

Future directions

Links in the universal network may be the real things and the nodes are just their meeting places, which only appear to be real things because this is where the angle of the flow of energy changes. 

All links may directional and pairing of oppositely-directed links was an early step in the evolution of the universe. 

Directional links may be representable as an inlet part joined to an outlet part. With this decomposition, a link pair looks like this:

⚪⚫

⚫⚪

A purely directional link recalls the one-way nature of time and may represent undifferentiated space and time. 

#58. Is the Theory of Everything Like This? [physics]

PH

Red, theory; black, fact

Recursive.

The picture appears to contain a diagonal line, but if you look closely, you will see that nowhere is there a diagonal line. This picture was created by a simple recursive algorithm, and the disappearing diagonal is formed by successive approximations. 

In theorizing, then, you keep applying the same principle to the result of its previous application. Example: gravity makes a molten ball orbiting the Earth, namely the early moon, and then that same gravity brings meteorites down on the resulting smooth surface of basalt and anorthosite to create the pattern of craters we observe. Example: the evolution of evolution; all the molecular apparatus of evolution lies within the scope of that same evolution. Example: What if a quantum vacuum fluctuation happens in the background of a previous fluctuation? Did such a recursion create the observable universe?

#53. Where are All the Space Aliens? [evolution, evolutionary psychology]

EP    EV

Red, theory; black, fact

Canada's remote Algonquin Radio Observatory,

which took over SETI duty between 1988-91.

Astronomical observations and the Fermi paradox

Contemporary exoplanet research keeps turning up extra-solar-system planets that seem to be promising abodes of life of the Earthly variety (never mind the completely weird biochemistries that may exist on other planets). In the habitable exoplanets catalogue (HEC), kept by the Planetary Habitability Laboratory, University of Puerto Rico, Arecibo, the list of planets found orbiting in the conservative habitable zone now has 17 entries, and a 2013 paper by Petigura et al. ("Prevalence of Earth-size planets orbiting Sun-like stars") placed the percentage of stars in our galaxy with potentially habitable planets at 22 ± 8. Accumulating evidence suggests that life is common in our galaxy, yet SETI research—the search for extraterrestrial civilizations that send out radio signals that bear some stamp of intelligence—has drawn a complete blank, as far as I know. And if it did find something, it would make such a sensation in the media that no-one could help knowing. So I ask you: where are all the space aliens? This question is generally attributed to 20th-century physicist Enrico Fermi and has since become known as the Fermi Paradox.

My hypothesis is this:

Life is one thing; intelligent life is quite another. This is a form of the Rare Earth hypothesis, which is one of the avenues that has been explored through the years in the search for a resolution of the Fermi Paradox.

Biospheres may not be permanent 

No doubt there are many, many planets in our part of the galaxy that have some form of primitive life, and many, many more "graveyard planets" that once had life but are now sterile. Mars may well be an example of this kind of planet in our own solar system.

Biochallenge!

I conjecture that if we seem to be alone in this part of the galaxy, based on the negative SETI evidence, it is because we are, and this is because we have evolved to the level of intelligence first in this galactic neighborhood, because evolution on the Earth is egregiously rapid. It has taken us four billion years to get this far, which doesn't sound so fast, but everything is relative. This rapid evolution is plausibly a response to challenges: all the various natural disasters we are subject to here on Earth, examples being bolide (meteor) crashes, continental glaciations, drifting continents, droughts, earthquakes, floods, hurricanes, long climatic warm spells, tornadoes, tsunamis, volcanism, wild weather, wildfires, and winter.

Sept 23, 2018: Tornadoes knock out primary transformer station in my town.

Case in point: a large bolide strike is believed to have triggered the extinction of the dinosaurs, making way for the rise of the mammals, and we ourselves are the descendants of those mammals. The bolide may have killed the dinosaurs indirectly, by touching off a climate shift in our dangerously unstable world. This would explain the temporary presence of dinosaur fossils above the Cretaceous/Tertiary iridium anomaly, which has been a problem for the bolide hypothesis.

Case in point: the rise of modern humans seems to have coincided with the end of the last continental glaciation. The rigorous, cold-climate conditions prevailing then might have selected our ancestors for high ability in building shelters and sewing protective clothing. These skills might have required the rapid evolution of a high ability to process spatial information, which we then leveraged into the building of civilizations upon the return of temperate climatic conditions.

To contrive a planet that is so challenging and difficult, yet has not succeeded in destroying life altogether in four billion years, may require a very rare combination of parameters (e.g., our distance from the sun, the size and composition of the Earth, the presence of the asteroid belt, the presence of the Oort cloud), and this rarity has led to our emerging into intelligence before it happened anywhere else in this part of the galaxy.

These parameters may well have special values at which critical behavior occurs, such as the onset of positive feedbacks leading to heating or cooling. Earth may be simultaneously close to several of these critical points, a rare circumstance, but one that does not require extreme, atypical values of any given variable.

My take on the Rare Earth hypothesis therefore emphasizes what are called "evolutionary pumps" (e.g., glaciations, bolide crashes, etc.) in discussions of this hypothesis, as well as the anthropic principle. 

August 28, 2011: An Ottawa sunset inflamed by a recent hurricane in the USA.

Evolution

I further conjecture that the difficulties of our past have left their mark on us, and we call it "evil." Some will deny that this concept has any construct validity, saying, "It's not a thing," but I think that it is an approximate version of something that does, which I term "dispersalism" in this blog. This is because a basic strategy for surviving disasters is dispersal. 

Our planet's predilection for disaster has deeply ingrained dispersal tendencies into most species here, by the mechanism of natural selection. Humans now get their food from agriculture. However, agriculture requires a settled existence and is therefore in opposition to dispersal, so the plot thickens.

This characteristic of agriculture results in the psychological pressure for dispersal relentlessly building, pressure-cooker fashion, across time, until a destructive explosion occurs (war or revolution), thereby accomplishing the long-delayed dispersal.

Wildfire smoke seen in Ottawa, Jun. 2023