It is shown that the self-interaction force on a pointlike electric charge in curved space-time has conformal weight −1. Motivated by this result, a conformally covariant version of the Lorentz–Dirac equation is presented, where the particle mass is treated as a position- and time-dependent quantity. This feature suggests that the underlying dynamics is Machian.

Conformal behavior of the Lorentz-Dirac equation and Machian particle dynamics

SONEGO, Sebastiano
1999-01-01

Abstract

It is shown that the self-interaction force on a pointlike electric charge in curved space-time has conformal weight −1. Motivated by this result, a conformally covariant version of the Lorentz–Dirac equation is presented, where the particle mass is treated as a position- and time-dependent quantity. This feature suggests that the underlying dynamics is Machian.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/669095
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