On the Existence of Dynamics of Wheeler-Feynman Electromagnetism
Skip to main content
eScholarship
Open Access Publications from the University of California

On the Existence of Dynamics of Wheeler-Feynman Electromagnetism

  • Author(s): Bauer, G.
  • Deckert, D. -A.
  • Dürr, D.
  • et al.

Published Web Location

https://arxiv.org/pdf/1009.3103.pdf
No data is associated with this publication.
Abstract

We study the equations of Wheeler-Feynman electrodynamics which is an action-at-a-distance theory about world-lines of charges that interact through their corresponding advanced and retarded Li enard-Wiechert field terms. The equations are non-linear, neutral, and involve time-like advanced as well as retarded arguments of unbounded delay. Using a reformulation in terms of Maxwell-Lorentz electrodynamics without self-interaction, which we have introduced in a preceding work, we are able to establish the existence of conditional solutions. These are solutions that solve the Wheeler-Feynman equations on any finite time interval with prescribed continuations outside of this interval. As a byproduct we also prove existence and uniqueness of solutions to the Synge equations on the time half-line for a given history of charge trajectories.

Item not freely available? Link broken?
Report a problem accessing this item