The integer star

The universe needs integers, and the proton continues to provide them, up to a point. At some time the availability of free protons and grouped protons match and a star's gravity field stabilizes. The universe gets another integer, so it continues to count stars. The stars are not all the same. Stars that do not meet the criteria either dissipate or explode, one way or another they provide another group of free protons. But there is sufficient Shannon separation to allow for a variety of star, and they make a galactic unit of account.

We are looking for a magic ratio. Ley call [(3/2)**108 * (1/2+sqrt(5)/2 ** 91)] the number I. Then we are lookign for something like:

I**M/I**N, where M and N, M > N that make the perfect star integer in which the quantization ratios of light and mass just match, within an error much smaller than any other nearby ratio.  Protons outside this range are thrown off, and regrouped so the fractional difference between stars is counted out by galactic phase alignment.

Here is a start, picked randomly from the web:

Schur complement method

 In numerical analysis, the Schur complement method, named after Issai Schur, is the basic and the earliest version of non-overlapping domain decomposition method, also called iterative substructuring. A finite element problem is split into non-overlapping subdomains, and the unknowns in the interiors of the subdomains are eliminated. The remaining Schur complement system on the unknowns associated with subdomain interfaces is solved by the conjugate gradient method.

Except that non-overlapping is Shannon separation, which does not go to zero. The vacuum can maintain the relative separation, the integer one is a close enough approximation. It cannot be a perfect one, as that eliminates connectivity.

At any given scale, the phase balancing problem may not stabilize, we get wave motion which eventually destabilizes enough counting units to stabilize at the boundary.  That is why we never really get complete black holes. This would be a natural for the vacuum, as dumb as it is. The goal, everywhere and every place, is to keep kinetic energy within a Shannon equality, the maximum entropy result.

We get spectral theory on an ever grander scale.The issue is quite simple, if the proton does not dissipate, then it will be a counting unit, the vacuum has no choice. All it can do is spectral decomposition on a continuing large scale until it has no more stable units. At some point the edge of the universe is so thin the proton is no longer stable. The stability period, 10e36 years is likely related to the round trip travel time for light across the universe. The place to start looking is the supported error at the proton, then let that magnify in scale. The gets us the variety of products contained within the integer at each level of the

Black Holes are a problem, the size of packed nulls is finite, and the process of subdivision stops before the phase alignment of gravity becomes dense enough to collapse the vacuum.  Nothing can subdivide the vacuum, according to this theory. Gravity needs the vacuum to have its effect, it cannot subdivide itself continuously.