Of course we toy with such an idea because we already know that the “calculation” of the gyromagnetic ratio of the electron must be wrong (due to its present rest mass) and we only consider it as a fortunate coincidence that the plausibility considerations lead to the correct result
But again there appears one of those ramifications (e.g. the calculation of the magnetic moment of proton and neutron) and therefore we will break off here and return to the light quantum. It represents a particle with a zero rest mass. Now we have to select one out of two options that will be explained in detail below.

First option: a particle with a zero rest mass cannot exist according to our previous formulations because all closed continuous kink-free orbits on spherical surfaces or ellipsoidal surfaces meeting our 5 requirements must “return” sometime. Thus it will always be possible to find at least one direction in space in which an external observer can notice a right-hand and left-hand spin and therefore be able to detect a mass (read: potential, magnetic energy, as seen from outside). But everything would be wrong, because for the calculation of our quantum of action we have assumed light quanta to be always a product of their self-interaction – an idea that we do not like to accept.

Second option: our requirement that self-interaction should only be possible on spherical or ellipsoidal surfaces is too rigid and has to be extended. In fact, it has arisen from the demand for constancy of the absolute value of the angular momentum, and it seems that this demand is of general nature.