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Phys. Rev. Lett. 61, 1903–1905 (1988)

Resolution of Causality Violation in the Classical Radiation Reaction

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Antony Valentini*
Trinity College, University of Cambridge, Cambridge, CB2 1TQ United Kingdom

Received 7 April 1988; published in the issue dated 24 October 1988

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.

© 1988 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.61.1903
DOI:
10.1103/PhysRevLett.61.1903
PACS:
03.50.De

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

See Also

Comment: Charles J. Goebel, Comment on ‘‘Resolution of causality violation in the classical radiation reaction’’, Phys. Rev. Lett. 62, 3010 (1989).