Now, let me confess, I have introduced a non existent variable, the sign of phase which I know is fake because the vacuum does not subtract, though it can degenerate a packing. The vacuum knows about three bubbles, each with a slightly different surface area. Two of the bubbles will exchange with the middle sized bubble, and the middle sized bubble does not initiate exchanges. The intent of the bubbles is to minimize the total surface area around them, at the speed of bubble, which is constant. Instead of the spin statistics theorem we need the maximum packing theory, for which someone will get a Swedish banana when they prove it.
Here is how bubbles make fermions and bosons. Fermions result when there are enough nulls so that small and large bubbles penetrate and reach a point where no exchange reduces surface volume. Excess phase then leaves the region. The maximum packing theorem will tells us that the configuration comprises large bubble spiralling in in one direction, and small bubbles spiralling in in the other. Hence the spin thing, two stabilized 'phase' can have opposite spiral relative to any other fermion.
Bosons result when too many small and large bubbles penetrate and reach a point they over sample the null bubble, constantly moving the little nulls around. But there are no Nulls in the region to create a stable fermion.
There, I think that does it. It is sampling theory. When phase bubbles slightly oversample, causality cannot be maintained at the speed of bubble. The way to see this si to restructure the statistics functions for the fermions and bosons and you will see the fermions have SNR closer to one, the bosons had SNR closer to 1/2, and this is the vacuum carrying a fractional component of entropy. Fermions pack such the -Log(i) is always within one with maximum deviation less than 1/2, Bosons have -log(i) deviating by more than 3/2. The system continues to make bosons, at the light quantization ratio, until it reach a null-phase quant that realizes a fermion solution. The relativity thing is embedded in the oversampling rate of bosons.
OK, then what is the Bose-Einstein condensate? The black body is a relationship that explains the steady state energy balance. Bosons phase in, Bosons out, at the Boson quantization rate, the fractions. If you quit sending bosons in, then the only boson remaining is the boson that maintains the half integer error between adjacent fermions. The ground state fermion remains other the vacuum is non existent, and the world disappears, or fermions disintegrate.
Bosons are not force carriers, but entropy managers. They allow the vacuum to find close Shannon matches and thus create a euclidean system where the speed of bubble is constant, with slight phase shift. The multiply is available and the total number of exchanges to minimize surface area is minimized.
Thus, on the macroscopic scale, quantum mechanics and classical physics converge at the classical limit. Nevertheless, it is impossible, as Planck discovered, to explain some phenomena without accepting the fact that action is quantized.
Planck was on to something, the universe is a sequence of actions. Why we introduced time and space I have no idea.
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