Abstract
A relativistic, non-quantum theory of electrons is constructed in which the electron is not considered to be composed of any type of distribution of charge. The electron's structurelessness is defined by several assumptions which, together with Maxwell's equations outside the electron, yield the general fields produced by such an arbitrarily movingholistic electron. Several equations of motion for the holistic electron are found to result from the formulation, the Lorentz-Dirac equation being among them. The formulation, by its very nature, avoids the problems of the electron self-energy and the need for normalization.
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References
Dirac, P. A. M. (1938).Proceedings of the Royal Society,A167, 148.
Lorentz, H. A. (1952).The Theory of Electrons, 2nd edition. Dover Publications, New York. See also, Jackson, J. D. (1962).Classical Electrodynamics. John Wiley, New York.
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Cohn, J. Holistic electron theory. Int J Theor Phys 9, 179–184 (1974). https://doi.org/10.1007/BF01807522
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DOI: https://doi.org/10.1007/BF01807522