On the Choice of the Action Function in the New Field Theory

Abstract

By the imposition of a regularity condition on the new field theory a new action function is found which is unique so far as the significant lower order terms of its expansion are concerned. The new action function leads to a theory in which the $f_{\mathrm{kl}}$ field is free from singularities, from which magnetic poles are automatically excluded, and in which the equations of motion can be deduced from the field equations without extra dynamical assumptions. When general relativity is taken into account the field of a particle is such that space-time is everywhere regular, and the theory leads to the identification of gravitational with electromagnetic mass.