Could the classical relativistic electron be a strange attractor?

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dc.creatorHorwitz, L. P.
dc.creatorKatz, N.
dc.creatorOron, O.
dc.date2004-01-20
dc.date.accessioned2026-07-07T05:50:59Z
dc.date.available2026-07-07T05:50:59Z
dc.descriptionWe 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 non-linear Lorentz force equation for the self-interaction resulting from the expansion of the 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.
dc.description19 pages PLain TeX, 1 page Captions, 18 figure (.eps files)
dc.identifierhttps://arxiv.org/abs/physics/0401098
dc.identifierhttp://arxiv.org/abs/physics/0401098
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/85886
dc.subjectClassical Physics
dc.subjectMathematical Physics
dc.subjectChaotic Dynamics
dc.titleCould the classical relativistic electron be a strange attractor?
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