If any finite set of axis has a maximum entropy point

 That is, the maximum number of sequences through the axes before repeating, then that dimension has an Avogadro. So we call these a subset of the total set of Chinese Remainder solutions. These points are also the prime rotations about the Lie paper, the Lie paper being the schematic. So all the cyclic algebra forms like polynomials can be treated as points on the Lie paper relative to maximum entropy points. And that should also correspond to topology of holes in closed surfaces. An Avogadro limit in entropy maximizing systems is a closed system. There should be an equivalent set of physics law for each dimension, an Avogadro and the sequence of relative prime indexes, 1,2,3..n. But the maximum entropy point skyrockets with dimension that we end up proving not much further. It becomes obvious that no universe above maybe five could be realistic, we must be bounded and closed as we are entropy maximizing.

We get this from a neat trick, we can do spatial computations over a Lie circle at maximum entropy. In a way is is finding all the approximate, finite sequences that make pi so we get a Lie circle.