As the imaginary Higgs lattice increases in temperature from absolute zero - interaction of each Higgs with the lattice results in an effective shape of each cell of space that permits closer packing than so called close pack. This shape and packing maximum yields a minimum energy density that is nearly constant throughout the universe. The backgroung temperature of the universe.
Little TOE permits the derivation of all things from a minimum of parameters.
You may derive the fine structure constant from the Little TOE (theory of everything) view of quantum structure. This structure is three dimensional but has six axis of symmetry. Please note that time does not require an independent dimension. The fine structure constant can be thought of as a probability of interaction. This basic constant is 1/137. And varies from this value due to the local temperature or energy density of the quantum universe. From the view of the Little TOE, this “constant” can be seen in the probability of energy exchange of a photon and an electron.
Where an electron is three displaced elements of the universal lattice moving through the lattice structure. And where the photon is a quantized unit of energy moving through the lattice.
This is a bit like rolling dice. However the unit cell of the Little TOE lattice is not six sided. The LITTLE TOE lattice cell is a cool but not energy free dodecahedral cell of twelve sides and six axises. What is important in this exchange is not the rolling of the die but the freedom of motion of the lattice elements associated with the electron and the photon.
We find only 4 of 548 possible encounters permit the exchange. The 548 derives as 5X5X5X5 less 1, less (4X4X4 and 3X3 and 2 and 1). That is 625-77=548.
Why is the exchange not precisely 1/137? Two reasons. One, the electron is not a single entity but is three displaced lattice elements, three charged bits displaced from the structure of the fabric of space. A second adjustment is required due to the temperature and resulting mass (energy) of the lattice itself.