On the physical interpretation of singularities in Lanczos-Newman electrodynamics

We discuss the physical nature of elementary singularities arising in the complexified Maxwell field extended into complex spacetime, i.e., in Lanczos-Newman electrodynamics. We show that the translation of the world-line of a bare electric-monopole singularity into imaginary space is adding a magnetic-dimonopole component to it, so that it may be interpreted as a pseudo-scalar pion-proton interaction current. On the other hand, the electric-monopole magnetic-dipole singularity characteristic of a Dirac electron is obtained by another operation on the world-line, which however does not seem to have a simple geometric interpretation. Nevertheless, both type of operations can be given a field-theoretical interpretation which can be generalized to yield the interaction currents of other elementary particles, and therefore to provide a link between elementary particle physics and general relativity theory.