Imagine a charged particle Q standing still in a uniform gravitational field g (i.e. on a table on the surface of a planet). Assume observers K1 and K2 when K1 is in free-fall and K2 is co-stationary to the charge Q (sitting at a chair next to the table).
K1 is, (at least locally) an inertial reference frame (due to the Equivalence Principle). So since it sees the charge Q accelerating towards itself with acceleration g; K1 will conclude that this charge should radiate.
Even though K2 is a non-inertial reference frame, the charge Q radiating non-stop will clearly violate his the law of conversation of energy.
We have two impossibilities here, so the obvious question is does the charge radiate, or does it not ?
(PS:I have to say I'm quite surprised to see this question was never explicitly formulated and asked in this platform, so I am sorry if it turns out to be a duplicate after all.)
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