Samestuff: An Infinite Singularity
1. All matter in the universe is an emergent property of one single substance – an enantiotropic "super" liquid crystal of sorts.
a. The original substance is H-based and has undergone a series of phase changes that is / has become the universe as we know it. In succession (go with me here!):
T-1 : The previous universe is fully subsumed by a pure state of isotropic fusion, a black hole that has unwound and stretched out any last remnants of dark energy (i.e. "light" matter, our matter, us) so spaghetti-thin that it can't help but be sucked into the isotrop-ism via a basin of attraction, almost as if down a drain.
T-0 : Turns out it wasn't a drain, but a quantum tunnel. All matter (i.e. information) has seemingly been stripped or sheared from the energy to which it was bound. A white hole emerges via the phase change. The isotropic material is now once again united, packed into an impossibly tight space (in fact, a negative mass!). This isotropic phase is gaseous, and perhaps also "natural" insofar as it could be a [Bose-Einstein] condensate. The word "gas" (meaning flatulence) becomes very literal — the end of our universe will become the toot of a black hole.
T+1 : Plop! An LC being an LC — self-arranging, self-healing, self-organizing, self-similar, and sensitive — the vibrations in the gas swell enough to generate standing wave movement, and those waves / their vibrations eventually put enough adiabatic work in to heat the gas or condensate into a liquid. All isotropic, but one single unified mass (hence the +1). I imagine the waves are related to harmonics, pure tones, and a state of cascading chaos during which the patterns of this new cycle are determined.
T+2 : The system, now liquid, begins to chill out — literally. While it had enough energy to pour into a liquid, it wasn't enough heat to meet the critical point(s) that trigger further anthropic phase changes in the LC. As the system cools, it crystallizes, perhaps in the form of quantum ice crystals. But it's essential to note that as it crystallizes, the LC is not staying still — thus the ice crystal(s) manage to "capture" a "memory" of the liquid's sonic frequencies in a manner equivalent to that of sand in a cymatic Chladni plate. The strange elasticity of soft matter-y LCs allows for this organic-seeming process. The lattice structures generated here will be key in determining the future universe's geometry. Note that the "thread" of lattice creation and destruction that defines an entire universal cycle can be followed into the next universe's cycle, and the next, and the next, ad inf. This implies that while our LC substance is incredibly sensitive and unstable, it somehow manages to keep the "memory" of those sonic events recorded via these structures, which are bound to change.
T+3 : The crystal gets even colder, since the lattice keeps vibrations at a minimum. This period is both fracture and phase change. Theoretically our substance contains all known properties of all known elements, so we assume it can exhibit pyroelectricity like our already-known kinds of crystals. Just by nature of being it, the crystal begins to separate into two crystals, its charges repelling one another and fracturing the crystal enough to divide entirely. Technically, no rules have been broken — this event follows the simple square-rooting and addition-subtraction calculations that are "allowed."
T+4 : Perhaps you can see how this is problematic. Two oppositely-charged crystals are suddenly sharing an incredibly tiny space — and as we said, our LC can exhibit pyroelectricity. Thus via its self-healing capabilities, it can also have a pyro / piezoelectric effect going the other direction (repelled --> attracted). Almost immediately, perhaps something like 0.1415926 "seconds" or revolutions after the LC is put under massive structural stress, the two crystals generate electricity — too much electricity for the existing space to hold. Square-rooting and basic calculations aren't going to cut it when we hit T+4, so existing functions must also turn themselves inside out, generating a much faster way of fissioning-to-fusion. The system's symmetry is broken, so we must venture into the imaginary field. The crystals are quickly sheared into a gas so dense that it has negative mass. Now entering from stage left is entropy. We are going to consider entropy as a function / derivative of energy; we will also accept that this entropy is manifested as illuminated matter, which we call spacetime.
T+5 : It's time. The gaseous implosion's energy must be released — and boy, is it released! In an instant that we call the Big Bang, crazy amounts of plasma burst out from the core of the crystal. I imagine this when many of our primordial elements were generated, including metals. I don't understand elementary particles enough to guess what's happening there, though it seems notable that 1) we have a mysterious isotropic constant in our universe in the same way a cholesteric LC's solution would and 2) every baryon consists of three orbiting quarks that seem identical to optical vortices.
T+6 : With time, the plasma eventually begins to cool and expand — some of it faster than others. It's worth noting that right away, the coldest patches get cool enough to start shrinking back towards isotropy, coaxed in via the fluid pull of dark matter "drains" (black holes). When this happens, the cool patches become invisible, as if a constant permeating through the universe. Perhaps this is the Epoch of Reionization?
T+7 : Here we are, back in our world of baryonic matter. This is the longest phase the LC will undergo, and because the temperatures are generally neither too-hot or too-cold, the LC exhibits some fun and funky optical properties. If we are to consider (hint: we are!) each iteration of nucleation as its own new dimension "slice," one can imagine film upon film of nematic, smectic, chiral, cholesteric, etc. LCs overlapping and amassing to create "3D" fractals (i.e. visible matter). If one considers entropy a function of energy, then we will consider negative entropy a function of entropy. "Negative entropy" can be found in patches of matter, all held together by spacetime's fissioning / fusioning slow burn, that have become complex enough to maximize energy consumption and integrate --> emerge at a fast pace. RNA (a helix that contains LCs), DNA (a double helix that contains LCs), and G-4 cancers (a quadruple helix that contains LCs) are all examples of negative entropy. Naturally, this is where paradoxes start showing up.
T + ? : Who knows how it will end. I imagine that dark matter basins will stretch out matter (we call this the "expanding" universe, but it's really more of an unfurling to keep our contained space "filled" as matter is continuously depleted into isotropic masses of pure fusion) until a big enough black hole eats up all information, stripping it of the "information" it holds, and the cycle begins again with a new white hole pouring out of the quantum tunnel.
b. The infinite self-similarity seems a bit obvious when a person zooms way, way out to remember that we are all more alike than different. For all we know, our universe is the exception, not the rule — being so removed from nature now and focused on abstract ideas, we take for granted the magic of the organic world and the ways in which we're inextricably linked.
2. The Mandelbrot fractal is (and complex math graphs in general are) a specific perspective of / map to the universe's infinite history and inescapable future.
a. The Mandelbrot fractal provides a visualization of all possible iterations of all possible fission-fusion processes happening on the complex / imaginary plane. We will therefore consider the Mandelbrot an ideal map of energy's entropying, visualizing all potential elemental interactions (an infinite number). Starting at the "needle" is T+1 (the liquid), one will find that the LC processes described above can be described quite literally (and quite beautifully) by the fractal from beginning to end.
- Mandelbrot in theory interacts with the rest of math in every possible way, allowing for our existing / proven calculations to fit in comfortably. For example, the chaos logistic map lies "below" the Mandelbrot needle, a Riemann zeta function saddle is visible in the main cardioid, and other things like Fourier transforms, Tweedie distros, Mobius transforms, etc. abound.
- This implies that some quantum theories might be correct about infinite infinities...but implies that we are (part of) those infinite infinities. Which makes sense! The universe is both so minute and so massive. Think of the mites on your eyelashes as having their own lives, maybe even hobbies, then consider that we are mites on the eyelashes of the universe. The potentials that life and consciousness provide speak to the innumerable possibilities.
b. The Buddhabrot fractal (visual depicting probabilities of the points that escaped the Mandelbrot) specifically depicts the trajectory of dark energy.
- I was quite surprised to see that this fractal seems to depict a familiar-enough physical process. It almost looks as if a bead being threaded through a pillar of lattice-like membrane. And it looks very much like a hologram. And it very, very much looks like a biological process akin to neurogenesis or DNA encoding. (Worth noting again that the flow of matter/information from black hole to white hole keeps a degree of "memory," even after quantum tunnelling, due to its unique LC properties.
- Upon some manipulation of the layers, the Buddhabrot seems to depict a chain of lattices stacked underneath a curved lattice, lettuce cup-like, that has a mass "bouncing off" or perhaps through its center, and is suspended high above. This "bouncing" mass is illuminated via a main lightsource and its refractions — the placement of this light source would suggest it depicts the Big Bang, if we're using our Mandelbrot "map" — funneled through a very small pinhole and spreading out via a cone-like structure. The densest areas of dark energy are limited and concentrated towards the "end" of the map.
c. Exploring other complex graphs yielded interesting results. Upon some color / texture manipulation of the Gaussian primes, one can start to see clear repeated patterns that look mandala-like, and potentially even grid lines. It's almost like the viewer is looking down from the Buddhabrot's head to see layer upon layer upon layer of cymatic-like crystal lattices, stacked high. Perhaps this isn't new information...but has anyone considered using the study of cymatics + crystallography to "decode" what the wave distribution can tell us about prime distros?