Abstract
We construct a generalization of Maxwell's equations associated with the proper-time of the source which accounts for radiation reaction without any assumptions concerning the nature of the source. The theory leads to a new invariance group, related to the Lorentz group, which leaves the proper-time of the source fixed for all observers.
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Gill, T.L., Zachary, W.W. & Lindesay, J. Proper-Time Classical Electrodynamics. Found Phys Lett 10, 547–562 (1997). https://doi.org/10.1023/A:1022445218792
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DOI: https://doi.org/10.1023/A:1022445218792