Theory of electric charge
1. In two earlier papers I have partially developed a theory of the fine structure constant hc /2π e 2 as arising from the interchangeability of electrons. This theory is, I think, completed in the present paper. It is agreed that two electrons are indistinguishable and that statistical formulæ must be modified to take account of their interchangeability; but owing to the fact that interchangeability is not easily expressible in terms of continuous analysis , its consequences have not hitherto been fully traced. This investigation aims at filling the gap. Thus I am not concerned to invent new hypotheses but to work out the consequences of an old one. Wave mechanics has been successful in replacing “jumps” by continuous analysis, and there seems no reason why it should not prove equally successful with the jump of interchange. Proceeding in this way I find that interchangeability reduces to a term in the wave equation which can be identified with the term ordinarily attributed to the electrostatic and electromagnetic energy of the two charges; and that the coefficient of this term, ordinarily called the fine structure constant, is the integer 137.