My request to mathematicians:The math involved takes about three weeks for me, but what it says is that the two conditions above imply that universe can do its adjustments on the surface area, not the volume in any adapted system. The key term being adapted, meaning there are fermions and matching bosons. But these come right out of maximum entropy, or minimum actions principles. This also implies that the Greek letters are defined by an imprecise power series. The fermion spin results because the two power series, boson and fermion, will not converge uniformly without spin in the fermion.
What's the deal with gravity? Dunno, Einstein shows that gravity has a non-uniform convergence of two power series, he called it relativity.
Most of this is about nature doing Ito's calculus as accurately as it can while we are still deluded by Newton's calculus. The main difference, zero does not exist (the vacuum is not empty), there is no measure for nothing.
Take this straight to measure theory and show that any adapted system must match the group multiplicative identity to a series of boundary conditions at each measure quant, when the quants are ordered in a causal sequence. In other words, do the science of making the yard stick. Remember that zero has no measure, it is the precision, a positive value. That should explain it all.
Take fermion spin, for example. The fermion has to have an extra kinetic energy because its power series, under maximum entropy. will not converge at the same rate as the boson. The fermion has about 1/2 the ratio of hot to cold positions as the boson, when they play the game of Wythoff. Zero, the winning position, never happens. That means Phi, in the Whthoff array, is a finite approximation and the array is finite size for any adapted system.
Quantum entanglement is really the vacuum doing a finite power series by overlapping the bubbles, that is how it makes Pi equally imprecise going out from the 'one' on the ruler to the maximum integer notch.
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Two dimension universe? The universe uses the two period model.
Quantum entanglement? There is no empty space, so the two period model changes the amount of overlap between the bubbles of the non-empty vacuum.