On Electrodynamical Self-Interaction |
| Jerzy Kijowski Centre for Theoretical Physics, Polish Academy of Sciences, Al. Lotników 32/46, 02-668 Warszawa, Poland |
| Dedicated to Prof. Iwo Białynicki-Birula on the occasion of his 60th birthday |
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| It is shown 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 equations of motion from field equations". It is shown that 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. |
| DOI: 10.12693/APhysPolA.85.771 PACS numbers: 03.50.De, 04.20.Me |