The unification of physics, my final jeopardy answer

They are equivalent.  Saying the speed of light is constant finite bandwidth) is the same as saying the approximation for e is a rational fraction. Isaac's grammar assume the speed of light is infinitely precise. But some situations result in the inverse of numbers overlap, zeros. The result is a redundancy and groups rotation is not reversible.

Most of the corrections involve changing the power series of the first two primes so that the number line is compressed to keep the precision.  Example, for an  infinite number line I can compute absolutely the probability of the number two appearing in any number given as a set of prime multiple.

1/2 when two appears once plus 1/4 when it appears twice, plus 1/8 and so on. These yield rational fractions when take to infinity. I have another series for 1/3+1/9+1/27 and so on, byt they so not converge at the same rate. When their convergence diverges from the precision of light, the redundancy appears and some term have to be removed and some added to these two series. The effect is to put the empty spaces where you don't care and fill in the spaces when you do.  Light then retains is same power spectra but the adjustment changes the shape of that finite spectral series.

But this whole problem should be recast as a Higgs Boson spectral limit, that limit is set everywhere in space. It causes the finite spectrum problem for everything and mass, light.The Schwarzchild radius is the situation where the density gradient of elements of the vacuum are high enough that some vacuum elements have no exchange that reduces dimension, they are at ground zero.  When these ground zero elements are in sufficient quantity with respect to elements having higher dimensionality, then the exchanges are always slight toward the center. Mass and light have an exact Compton match, relative to the finite spectra of light.  Schwarzchild is ess4entially letting Phi go as good a rational approximation as necessary.

This all explains my spectral chart where I found the match between Phi^91 and (3/2)^108. An adjustment of Phi^91 to Phi^90 means the 3/2 and the Phi have cube roots. It also generate the need for charge. The exponents have square roots that match at some integer exponent, creating an approximation to Pi, and e, that covers sphere packing. So that excercise, which I stumbled into, is just like the Schwarzchild problem. The effect is to select a set of Lucas numbers in which Phi can be replaced by the approximation to Euler.  Thus, all Isaac's rules of grammar work under that limited set of sphere packing rules.

A fourth root is 45.5 on Phi and 27 on 3.2.  The proton can do that if it separates the two groups, plus and minus spin.  That means the the fourth power works and I can pack two overlapping spheres, which the vacuum does to make the higher order atoms, like oxygen, carbon and nitrogen. And, naturally, the 45 and 27 make another cube root among them so they can simultaneously make both sphere surfaces optimally divergent.

Counting roots, then, we get 12 (3*4), split by the fermion spin.  That would include the vacuum, and that makes the 12 dimensional sphere and generates Einstein's 10 combinations. That also explains why 12 Lucas angles fit on the Tanh curve yield. All of pi/2, spin, charge and the fine structure are accounted for.

So I think my laws of physics boil down to three.
1) The elements of the vacuum have finite bandwith
2) The vacuum is conserved by local additivity.
3) The dimension of free space vacuum is two.