In light of the new precision measurement of the strong coupling constant by the ATLAS experiment at CERN - I can't resist publishing my analytical value depicted in the following image:
The strong coupling constant depends on the scale. The expression displayed doesn't say anything about the strong coupling constant, because it doesn't have anything to do with the framework, where the strong coupling constant means anything.
Valid point SN - while this value pops out of Natural Space via the Poisson Degeneracy occurring in any dimension d > 1. This value also complements the Fine Structure Constant and related work in jointly quantized electro/gravity.
After the fact it's possible to find infinitely many ways to represent any real number-this doesn't mean anything, however. The analytical form of the coupling constant of any quantum field theory describes the properties of the theory.
Valid point dear Stam Nicolis , while if you get the whole arsenal of vaguely known standard model parameters to arbitrarily precision from Poisson Degeneracy alone - we are no longer talking about a single guess, but a totally new paradigm hidden in this "Natural Space" under scrutiny.
This Poisson Degeneracy repeats the same eigenvalue in all dimensions for d >1, rendering it a universal value. Furthermore, the Poisson Degeneracy proves that our spatial reality has an internal dual, and these spaces jointly along with Action Space constitute our natural space we live in.