Abstract
A theory of the extended classical charged particle is presented. The theory assumes extension along the forward light cone of the particle instead of the usual now-plane. Solutions are given for many of the traditional problems including 4/3, instability, infinite self-energy, and runaway velocity. The Lorentz and Lorentz-Dirac equations are derived from a more general equation of motion.
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Beil, R.G. The extended classical charged particle. Found Phys 19, 319–338 (1989). https://doi.org/10.1007/BF00734562
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DOI: https://doi.org/10.1007/BF00734562