Physics
Scientific paper
Feb 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994gregr..26..167k&link_type=abstract
General Relativity and Gravitation, Volume 26, Issue 2, pp.167-201
Physics
11
Scientific paper
A consistent relativistic theory of the classical Maxwell field interacting with classical, charged, point-like particles is proposed. The theory is derived from a classical “soliton-like” model of an extended particle. An approximation procedure for such a model is developed, which leads to an “already renormalized” formula for the total four-momentum of the system composed of fields and particles. Conservation of this quantity leads to a theory which is universal (i.e. does not depend upon a specific model we start with) and which may be regarded as a simple and necessary completion of special relativity. The renormalization method proposed here may be considered as a realization of Einstein's idea of “deriving equations of motion from field equations”. It is shown that the Dirac's “3-dots” equation does not describe a fundamental law of physics, but only a specific family of solutions of our theory, corresponding to a specific choice of the field initial data.
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