In vol. I, chapter 32, of The Feynman Lectures, Feynman says:
If we take a charged body and accelerate it up and down it radiates energy; if it were not charged it would not radiate energy. It is one thing to calculate from the conservation of energy that energy is lost, but another thing to answer the question, against what force are we doing the work?
Then he says:
this problem has never been solved.
Has this problem been solved since?
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