On electrodynamical self-interaction

It is show that the classical Maxwell theory admits a simple and natural renormalization of the self-interaction energy. This leads to a consistent, local and causal, relativistic theory of the Maxwell field interacting with classical, charged, point-like particles. The theory may be regarded as a simple and necessary completion of special relativity. The renormalization method proposed here is a realization of Einstein's idea of ''deriving equation of motion from field equation''. It is shown that Dirac's ''3-dots'' equation does not describe a fundamental law of physics, but only a specific family of solution of our theory, corresponding to a specific choice of the field initial data. (author). 13 refs