http://www.amazon.com/Basic-Structures-Matter-Supergravitati...
2.9.6.B Fine structure constant as embedded feature of the twisted prisms
12.A.5.3. Hypothesis of embedded fine structure constant in the lower level structures of matter organization
It gets derived later to: α_c = 2 ⁄ [ ( n^2 + 2/2 )^1⁄2 + n ] = 7.29735194 × 10–3
where n =137 results in a very accurate value of α. It is important to understand that the fine matter constant has it's origin in a geometrical organization of the prisms. A very low level building block of matter in the BSM-SG model. It is 1/6th the size of a neutrino (neutral or positive flavor) - those 2 neutrinos are composed of 6 prisms of either large or small prisms an rectangular geometry j but the prisms is itself a very large structure compared with the ultimate building blocks, the fundamental particles.
The prism itself is quite complex in it's internal structure but there is a very logical explanation for its existence. On the first level of organization or you could see it as the first crystallized structure is the Primary Tetrahedron. You basically take a bunch of Fundamental Particles - just very, very small balls, and create a tetrahedron with same length sides out of it.
Very simplified explanation: This tetrahedron has a very complex vibrational mode - like every layer of our physical world. You end up basically with 2 overlaying vibrational modes, where you need n cycles of the small cycle to result in one cycle of the larger one. Alpha is the Energy relation of those cycles. Through alpha, you end up with 2 Energies in the prims, CP and TP.
Alpha is very fascinating feature as it is basically the driving force of most of the complex behavior of nature, it is everywhere in the BSM-SG model.
Funny side-node: In the BSM model, the cosmological redshift is not of Doppler kind (also no space expansion) and you can find the fine matter constant in the periodicity of the red-shift.
https://en.wikipedia.org/wiki/Redshift_quantization
Please note, that you have to do a proper Doppler correction in the BSM model if you measure galaxies. It also explains the Lyman-Alpha-Forest phenomena very well.
From the standard model perspective: I have no clue what it could be, like most constants.