Could the classical relativistic electron be a strange attractor?

L. P. Horwitz, N. Katz, O. Oron

Research output: Contribution to journalReview articlepeer-review

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.

Original languageEnglish
Pages (from-to)179-204
Number of pages26
JournalDiscrete Dynamics in Nature and Society
Volume2004
Issue number1
DOIs
StatePublished - 2004

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