Resolution of Causality Violation in the Classical Radiation Reaction

Antony Valentini
Phys. Rev. Lett. 61, 1903 – Published 24 October 1988
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Abstract

We show that the usual derivations of the Lorentz-Dirac equation are not valid at points where the charge's path is a nonanalytic function of time, and that such points inevitably appear when the applied force is freely alterable in the future, i.e, when one considers questions of causality. This enables us to avoid causality violation in classical radiation reaction, making the usual hedge of quantum effects at small distances quite unnecessary.

  • Received 7 April 1988

DOI:https://doi.org/10.1103/PhysRevLett.61.1903

©1988 American Physical Society

Authors & Affiliations

Antony Valentini*

  • Trinity College, University of Cambridge, Cambridge, CB2 1TQ United Kingdom

  • *Present address: Institut für Theoretische Physik, Technische Universität Wien, Karlsplatz 13, A-1040 Vienna, Austria.

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Issue

Vol. 61, Iss. 17 — 24 October 1988

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