When real electrons are pushed, they push back: an accelerating electron drains energy by radiating it away. In effect the electron feels a resistence, called radiation resistence, and extra force has to be applied to overcome it. . . . Because of radiation resistence, an electron in an atom, alone in empty space, loses energy and dies out; the lost energy has been radiated away in the form of light. To explain why this damping takes place, physicists assumed they had no choice but to imagine a force exerted by the electron on itself. By what else, in empty space?
p. 110
James Gleick Genius: The Life and Science of Richard Feynman
Vintage Books, 1993
Wheeler and Feynman's answer to that "what else?" was to develop Wheeler-Feynman absorber theory.

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