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When an accelerating detector moves through empty space it will detect a gas of particle with a temperature linear in the acceleration. The acceleration can be easily estimated from dimensional analysis. Since this is a quantum effect, the relevant constants are Planck's constant and the speed of light . In order to convert energy to temperature we also need the Boltzmann constant . The relation between the acceleration and the temperature is, up to a numerical constant,

The acceleration that corresponds to 1 kelvin is 6e18 m/s^2

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