There are indeed many models of the value of elementary electric charge origin, but all of them have introduced other types of new phenomena.
I solved this problem only based on the phenomena that are known and have been measured, in:
Preprint The value of the elementary electric charge-a different approach
It is an article related to electric charge, Hubble's constant, fine structure constant, wave function collapse and reveals the quantified nature of spacetime, but please give more time and patience to read the material to the end, to see how beautifully come all these together (constants), forming a unitary whole (one theory).
I await your observations