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Your charge-based g-meter would also measure zero acceleration in free fall.

https://en.wikipedia.org/wiki/Paradox_of_radiation_of_charge...



> the radiation goes into a region of spacetime inaccessible to the co-accelerating, supported observer. In effect, a uniformly accelerated observer has an event horizon, and there are regions of spacetime inaccessible to this observer

Curious interpretation, but beware this bit wasn't substantiated that well.




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