Metraipolis › archive › dc_f6bf7bfee3fb

Field quantization in rotating frames: coordinate covariance and the circular-detector response — arXiv:2609.10390

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.10390
License (as archived): CC0-1.0
Archived: 2026-10-16T11:22:39.362Z
SHA-256 of the archived text: 57d7f5ecf5150a2414779ea5432aa43efeee6b81d3881d4a38ba44eb59b3c407
Stable URL of this page: https://metraipolis.com/documento/dc_f6bf7bfee3fb

How to cite

Field quantization in rotating frames: coordinate covariance and the circular-detector response — arXiv:2609.10390 — arXiv (en), https://arxiv.org/abs/2609.10390 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_f6bf7bfee3fb (Metraipolis archive dc_f6bf7bfee3fb, sha256 57d7f5ecf5150a2414779ea5432aa43efeee6b81d3881d4a38ba44eb59b3c407)

BibTeX

@misc{dcf6bf7bfee3fb,
  title = {Field quantization in rotating frames: coordinate covariance and the circular-detector response — arXiv:2609.10390},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.10390},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_f6bf7bfee3fb; sha256 57d7f5ecf5150a2414779ea5432aa43efeee6b81d3881d4a38ba44eb59b3c407},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.10390. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We provide a unified analysis of scalar-field quantization and detector response in relativistic rotating frames, comparing rigid and Trocheris-Takeno (TT) descriptions in unbounded Minkowski spacetime. We distinguish three questions that are often conflated: (i) how a fixed quantum state is represented in rotating coordinates, (ii) whether rotating time evolution selects a global ground state, and (iii) how a rotating detector responds to the vacuum. Coordinate-transformed rigid and TT modes span the same positive-frequency subspace as inertial modes: their Bogoliubov beta coefficients vanish and their mode sums reproduce the Minkowski Wightman function. Neither rotating time flow selects a global scalar ground state, although for different reasons: the rigid generator is not globally timelike and is unbounded below, whereas TT time translation is not a Killing symmetry. Nevertheless, a circular Unruh-DeWitt detector in the Minkowski vacuum has a stationary, nonzero response. We relate this response to negative corotating frequencies, evaluate it after an explicit Hadamard subtraction, and show that it is nonthermal. Thus vanishing Bogoliubov mixing, the absence of a symmetry-selected rotating vacuum, and detector excitation are mutually consistent.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-10 in quant-ph).
Categorie arXiv: General Relativity and Quantum Cosmology (gr-qc) ; High Energy Physics - Theory (hep-th); Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.10390 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-16T11:00:36.300Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-09-10?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).