Relative prime theory

Four some set of M relative primes the optimum set is one that can make a transition in an N dense set of relative prime 'scales'.  This is the jumping in a Markov N-Tuple tree.  It is finite, the rotation among the relative primes has to fit on Lie paper. But the salad bowl is hyperbolic, circular. At each dimension there is a point where the relative primes would over run the Lie paper, the product of all relative primes taken to the p^p, as that is the maximum number of Bayesian set possibilities without repeating sets. There is a Horwitz theory for each set M of relative primes. There is a round off error, each time, and that round off error is not irrational and is limited to M * (M+1) states.  So the M color operator is simply managing this small, finite error matrix.

The system has to be an algebra to keep that error matrx from congestion.  Over running the Horwitz limit is letting the error matrix exceed capacity, and it jumps to M+1, if N density supports it. It never does.  There is a limit to the number of time one can apply the Einstein relativity trick, each of those tricks is a Markov finite jump up the current tree. In physics it shows up as divide by zero.
My point. The universe is a triple but bumps up against Avogadro now and then, recombing the quarks and restructuring mass. A lot the way the proton works, a kind of hybrid. It is more likely we hit that point before we collapse.  This has to be an ongoing process, a failed attempt to slow light. The model with two 3D systems, each sharing the spin axis, but otherwise it appears as a second term in the cosmology constant. There is a barely noticed vacuum torque we have not accounted for. Equivalent to the strong and weak forces.

Finding the torque on the vacuum is equivalent to finding the next relative prime up to M+1. Which one does by finding the closes 4 Tuple to 108. It is like a 1,3,11,131 or somehting like that.That dissolves into the closest 3 tuple, except the 131 or so (check my math). That residual is partially conserved, Black Hole radiation. It is a low buzz, but at the open boundary of the universe, it does not quite close, but is nearly infinitely repeating, with violent collisions where there is a massive, momentary pause in light and mass created. quasars might be the name. This would be the natural state for any god given N density, one M that sloshes against the M+1.

This theory also explains why physicists like to smash protons, they want to touch the fourth dimension, find that 131. That slosh makes us sphere packers. We get a subtle second moment of kinetic energy, and the sphere becomes layered as we are forced to partition the Markov triples. It all makes sense, the math should work.

If you take a random assortment of vacuum, the first triple is easy to find, by accident. But it gets us up the ladder. And the stable point is sufficient to reject all other vacuum assortments to far away.