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arXiv · 2307.09966

A Charged Particle Must Be Treated Relativistically in Classical Theory

Timothy H. Boyer
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Abstract

A charged particle which is allowed to accelerate must have relativistic behavior because it is coupled to electromagnetic radiation which propagates at the speed of light. We treat the simple steady-state situation of a charged particle moving in a circular orbit with counter-propagating plane waves providing the power which balances the energy radiated away by the accelerating charge. It is emphasized that only an electromagnetic arrangement, such as a Coulomb potential or a constant magnetic field, can provide the relativistic central force for the particle motion.

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Timothy H. Boyer. 2023-07-19. A Charged Particle Must Be Treated Relativistically in Classical Theory. https://doi.org/10.1088/1361-6404%2Face1b8

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