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arxiv: quant-ph/0401170 · v2 · submitted 2004-01-27 · 🪐 quant-ph · gr-qc

Simplified derivation of the Hawking-Unruh temperature for an accelerated observer in vacuum

classification 🪐 quant-ph gr-qc
keywords fieldacceleratedcasederivationobservertemperaturevacuumacceleration
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A detector undergoing uniform acceleration $a$ in a vacuum field responds just as though it were immersed in thermal radiation of temperature $T=\hbar a/2\pi k c$. A simple, intuitive derivation of this result is given for the case of a scalar field in one spatial dimension. The approach is then extended to treat the case where the field seen by the accelerated observer is a spin-1/2 Dirac field.

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  1. Decay of uniformly rotating particles

    gr-qc 2025-10 unverdicted novelty 4.0

    Uniformly rotating particles decay via emission of negative-energy quanta due to the lack of a global vacuum for such observers, implying none can be regarded as stable.