A Physical Derivation of Wyler's Formula for the Inverse Fine Structure Constant

Wyler's formula[1]: 10/3π ( 16 (2/15 π⁵ ) ) ^3/4 , for the Inverse Quantum Fine Structure Constant, value 137.0360824 , is recognized as quite close to the measured value 137.035999, so as to suggest that useful, semi-heuristic,  semi-classical derivation might be possible. Key to this physical derivation is the recognition the (2/15) π⁵  is the pure number portion of the Stefan Boltzmann Constant [2]. Therefore,  we calculate an inverse to the emissivity ε to that of a  BB (Black Body) emitter in terms of a photon density inside a standard volume, so that 1/ε  can be calculated as a photon flux per unit area from a BB  i.e.  1/ε  =  #photon flux (BB) /  #photon flux ( electron)   . We consider a BB photon flux as a "Tesseract" or 4-cube since it is an integration over three spatial dimensions and time. We obtain the expression in the numerator as a measure of emission-absorption for the BB #photon density in a unit volume as 8 ( 2/15 π⁵  ) ^3/4  since a 4-cube  has 8 cubic faces in 3-space. Since this is assumed to be spherically isotropic  we distribute it over  the surface unit sphere of area 4π.   For the electron term in the denominator we adopt a plane wave concept with a 3-cube with 6 faces with 5 emission-absorption directions since direct backscatter is forbidden by momentum and energy conservation.  To the factor of 5 we must multiply by the additional factor of 16 to account for the 4 possible permutations of direction and polarizations  of the electron and photon  for each of the independent emission-absorption processes . So we obtain for the ratio of the ratio of quantum emissivity of the Planckian volume to  the electron  to be:  (1/4π ( ( 16 (2/15 π⁵ ) ) ^3/4 )  / ( 6/80) which reduces to the Wyler formula. This suggests that Planckian physics, normally associated with ensembles of particles, may  underly even quantum interactions between isolated pairs of particles, with the interesting result that every particle may have a degree of quantum entanglement with every other particle in the Cosmos [1] Wyler, A. "L'espace symétrique du groupe des équations de Maxwell." C. R. Acad. Sci. Sér. A-B 269, A743-A745, 1969.[2] https://www.tec-science.com/thermodynamics/temperature/thermodynamic-derivation-of-the-stefan-boltzmann-law/