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PreprintarXiv licencearXiv

Classical and quantum perspectives on temperature in accelerated frames

Abstract

We study the notion of temperature in uniformly accelerated frames within a relativistic thermodynamic framework. Considering a perfect fluid at rest in a non-inertial (Rindler) frame, we derive the condition for thermal equilibrium from energy--momentum conservation. This leads to a position-dependent temperature profile consistent with the Tolman--Ehrenfest relation. We emphasize that this temperature characterizes the local thermodynamic equilibrium of the fluid in the accelerated frame and does not arise from a transformation law between different observers. The physical interpretation of the result and its relation to acceleration-induced effects are briefly discussed.

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BibTeX
@misc{vakili2026classical,
  title = {{Classical and quantum perspectives on temperature in accelerated frames}},
  author = {Babak Vakili},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.12222},
  eprint = {2609.12222},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.12222},
}
RIS
TY  - UNPB
TI  - Classical and quantum perspectives on temperature in accelerated frames
AU  - Babak Vakili
PY  - 2026
DA  - 2026/09/10
PB  - arXiv
DO  - 10.48550/arxiv.2609.12222
UR  - https://arxiv.org/abs/2609.12222
AB  - We study the notion of temperature in uniformly accelerated frames within a relativistic thermodynamic framework. Considering a perfect fluid at rest in a non-inertial (Rindler) frame, we derive the condition for thermal equilibrium from energy--momentum conservation. This leads to a position-dependent temperature profile consistent with the Tolman--Ehrenfest relation. We emphasize that this temperature characterizes the local thermodynamic equilibrium of the fluid in the accelerated frame and does not arise from a transformation law between different observers. The physical interpretation of the result and its relation to acceleration-induced effects are briefly discussed.
ER  -