Abstract
A classical point electron radiates when it accelerates. However, there are classical electron models with extended charge distributions which can accelerate and/or deform without radiating. Can a model be contrived that will undergo radiationless motion while accelerating (on the average) over a distance large compared to its size? The answer is no: we prove that the “center” of the electron is always closer than the electron “diameter” to a fictitious point undergoing constant-velocity motion, if the electron's motion is radiationless.
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Pearle, P. When can a classical electron accelerate without radiating?. Found Phys 8, 879–891 (1978). https://doi.org/10.1007/BF00715060
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DOI: https://doi.org/10.1007/BF00715060