Physics

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Einstein's principle of equivalence says that you can't tell the difference between being in a stationary elevator in a gravitational field and an accelerating elevator in free space. However, if the stationary elevator is in a field that has the magnitude of that of a black hole, your temperature will increase due to Hawking radiation. If you are accelerating in free space (at a value equal to g of the black hole) your temperature will increase according to the Davies-Unruh effect. However, the Hawking formula predicts a different temperature to the Davies-Unruh formula. So, we can imagine a thought experiment where we can measure this difference, and hence tell if the elevator is accelerating or not. Does this violate Einstein's principle of equivalence? Explain.