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The idea of antimatter being on the "other side" of the Big Bang, going the "opposite" direction in time, is not mine, I mean my reason for supposing that might have happened was mine (to the extent that I vaguely recalled the thing about antimatter going backward in time being the same as matter moving forward, somehow), but some other physicist (a real one!) came up with the notion already. I found that out from a YouTube video today.
Anyway, if this is all some (admittedly very weird) attempt to solve Hilbert's sixth problem, one thing I had not achieved as of yet was a "deduction" of the intrinsically probabilistic nature of the quantum manifold. I had hand-waved the problem in my head by squaring the probability waves with the requirement that space be perfectly occupied, and it was for this reason I characterized the so-called Higgs/fractal filling of space, below the Planck threshold (sort of), in my theory, as a "quantum fractal threshold." However, I can't say that I am sure there's an inherently probabilistic geometry in my system, not clearly anyway.
However...
There IS an easy deduction from deontic logic---sort of---basically, if free will requires a nondeterministic reality in some way, then the fundamental manifold of the quantum world will be nondeterministic, which in this case translates to probabilistic. Unfortunately, the only deeper application of this notion I have, is difficult for me to process: the "trick" is to think, "For the mathematical pattern of the universe to correspond to a 'fair gem' requires a metrodynamic form of 'fairness,' which can be analogically computed via the concept of the Platonic dice." Now, it is not just any of the dice that we get to roll, though. Only those computed already by the transequent order of the kairogenetic axioplex, are given. So, we have the 4-sided and 8-sided dice, in 3-space; we have the 5-sided, 16-sided, and 600-sided dice, in 4-space [this is mostly because of tetrahelical correspondence, which is fitting, after all, as tetrahelical motion is "ideal" rolling motion for simplectic structures as such]; we have no 5-dimensional dice at all, as far as I know (though we do get a set of "marbles," haha!---the universe as a game of dice and marbles together...). So, the encoding of the Platonic dice, through the sequence of genesis, amounts to the imposition of a probabilistic structure on the rolling of the dice, and so in turn the changes in their corresponding particle sets.
More specifically, though, it seems as though maybe knotical-graphical correspondence can do the "trick."
http://www.math.uchicago.edu/~may/VIGRE/VIGRE2011/REUPapers/Hoberg.pdf
Basically (I'm not saying this is in the above .pdf, I'm saying this is how I'm applying the stuff in general), if you can compute braids and knots simultaneously, you can get braids from knots if given the latter. Now, my theory does seem to give us the latter: when the 5-dimensional crystalscape collapses, it (more or less literally) compresses its mass-energy "downwards" into the other crystalscapes of the lower dimensions, causing all the strict lines of the gemstone architecture to resonate, i.e. spheration adverts to them as their curvature, and due to the axioplex (as a metrodynamic graph-theoretic function), we have the firmament upon which to build the quantum starscape (so to speak) as the axioplex has a relation of special equivalence with a knot-theoretic geometry, which is infused into the axioplex itself (apparently?). That is, the knots that emerge from spheration allow us to compute the braids required for braid statistics, i.e. the superlanguage of plektons.
Now, this might very well falsify my idea [actually, my idea also involves "predicting" that gravity waves can induce deja vu, which if already known to be false, well... or, setting that aside, the deeper parts of the idea involve the "prediction" that certain specific aleph-numbers will be involved in the full equation that states the axiom of physics]. At least, it seems to mean that my idea requires the universe, during the Big Bang, to have been plektonic. So somehow, we'd have to show you could decompose a bosonic-fermionic universe, out of a plektonic one...