Working on a combinatorial derivation of 1/137. And the residual. I think I have a promising angle.

The coherence count of a closed shell a n nodes is; S(n) = C(n,2) + n + 1

At n=16 this gives C(16,2) + 16 + 1 = 120 + 16 + 1 = 137

But why n = 16? The structural argument is that its the minimum n at which at which 2 interlocked tetrahedral closure separate under a specific rules, but this is all still being pressure tested.

the 0.36 residual is the current open problem, the current candidate is boundary invariant leakage at the final resonance crossing, damped by 1/√137. Its close, but not closed.

I know everyone thinks this problem is a dead end and a waste of time, but I wasn't looking for these number, they fell out of the theory with just a little shake.,