Discrete Dynamics in Nature and Society

Discrete Dynamics in Nature and Society / 2004 / Article
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In memory of Ilya Prigogine

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Volume 2004 |Article ID 205916 | https://doi.org/10.1155/S1026022604401034

L. P. Horwitz, N. Katz, O. Oron, "Could the classical relativistic electron be a strange attractor?", Discrete Dynamics in Nature and Society, vol. 2004, Article ID 205916, 26 pages, 2004. https://doi.org/10.1155/S1026022604401034

Could the classical relativistic electron be a strange attractor?

Received05 Jan 2004

Abstract

We review the formulation of the problem of the electromagnetic self-interaction of a relativistic charged particle in the framework of the manifestly covariant classical mechanics of Stueckelberg, Horwitz, and Piron. The gauge fields of this theory, in general, cause the mass of the particle to change. We show that the nonlinear Lorentz force equation for the self-interaction resulting from the expansion of Green's function has chaotic solutions. We study the autonomous equation for the off-shell particle mass here, for which the effective charged particle mass achieves a macroscopic average value determined by what appears to be a strange attractor.

Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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