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asimov42

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This is a followup to a question I asked a number of years ago about the Unruh effect. I understand that an accelerated observer will see warm gas of particles following a blackbody distribution with some temperature T, where as an inertial observer would see none.

My question is: how does one determine the density of particles that the accelerated observer would be expected to see? I know the relevant distributions are Fermi-Dirac (for fermions) and Bose-Einstein (for bosons). Given that the range of particle momentums is continuous, would this imply that the accelerated observer would see an infinite density of particles? (that seems wrong) Or is it possible to compute an average density of particles?

As an example, given an observer accelerating at 1 g, what would be the expected density of particles seen by the observer due to the Unruh effect (roughly)? (clearly the temperature here would be very low)

Thanks!