Could the classical relativistic electron be a strange attractor? | Zendy

L. P. Horwitz | Zendy; Nathan Katz | Zendy; O. Oron | Zendy

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Could the classical relativistic electron be a strange attractor?

Author(s) -

L. P. Horwitz,

Nathan Katz,

O. Oron

Publication year - 2004

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/s1026022604401034

Subject(s) - physics , attractor , covariant transformation , relativistic dynamics , classical mechanics , charged particle , lorentz transformation , lorenz gauge condition , lorentz force , relativistic particle , electron , mathematical physics , gauge theory , quantum mechanics , magnetic field , mathematical analysis , gauge fixing , mathematics , ion , gauge boson

We review the formulation of the problem of the electromagneticself-interaction of a relativistic charged particle in theframework of the manifestly covariant classical mechanics ofStueckelberg, Horwitz, and Piron. The gauge fields of this theory,in general, cause the mass of the particle to change. We showthat the nonlinear Lorentz force equation for theself-interaction resulting from the expansion of Green's functionhas chaotic solutions. We study the autonomous equation for theoff-shell particle mass here, for which the effective chargedparticle mass achieves a macroscopic average value determined bywhat appears to be a strange attractor

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