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

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arxiv quant-ph/0401170 v2 pith:MPJDEMCL submitted 2004-01-27 quant-ph gr-qc

classification quant-phgr-qc
keywords fieldacceleratedcasederivationobservertemperaturevacuumacceleration
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abstract

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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. All symmetry groups of pp-waves in teleparallel gravity

    gr-qc 2024-11 conditional novelty 6.0 of 10

    A complete symmetry classification for teleparallel pp-wave spacetimes, including two previously missed solutions in general relativity.

  2. Decay of uniformly rotating particles

    gr-qc 2025-10 unverdicted novelty 4.0 of 10

    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.

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