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Non-Inertial Response of Correlations: From Scalar Bell Observables to an Extended Correlation Tensor — arXiv:2608.19242

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.19242
License (as archived): CC0-1.0
Archived: 2026-10-18T12:15:11.903Z
SHA-256 of the archived text: 6fe7137771c428d1be2726bd00290c41bd94bbfbab66f65e05eae28c9d33e169
Stable URL of this page: https://metraipolis.com/documento/dc_41b79cdbbbca

How to cite

Non-Inertial Response of Correlations: From Scalar Bell Observables to an Extended Correlation Tensor — arXiv:2608.19242 — arXiv (en), https://arxiv.org/abs/2608.19242 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_41b79cdbbbca (Metraipolis archive dc_41b79cdbbbca, sha256 6fe7137771c428d1be2726bd00290c41bd94bbfbab66f65e05eae28c9d33e169)

BibTeX

@misc{dc41b79cdbbbca,
  title = {Non-Inertial Response of Correlations: From Scalar Bell Observables to an Extended Correlation Tensor — arXiv:2608.19242},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.19242},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_41b79cdbbbca; sha256 6fe7137771c428d1be2726bd00290c41bd94bbfbab66f65e05eae28c9d33e169},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.19242. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

A standard Bell observable is a scalar correlation associated with a selected pair of local measurement directions. We formulate it as a projection of a complete two-particle correlation tensor and distinguish two angular sectors. The central result is a reversal of the sign multiplying the cosine law: for coincident calibrated settings, the Bell observable is positive for photons and negative for a fermionic singlet. This distinction provides an operational criterion for experimental identification. For photons, the positive sign follows from averaging two projection amplitudes over the complete non-inertial phase interval; the fermionic sign follows from the negative exchange holonomy of the phase--momentum sector. Mapping phase directions to linear-polarizer axes produces the corresponding double-angle dependence. The photon Stokes tensor has positive linear-polarization components and a negative circular-polarization component, whereas the fermionic singlet has an isotropic negative tensor. We introduce a motion-dependent extended tensor and a frequency-dependent non-inertial susceptibility. A phase-synchronous two-arm experiment combines optical modulation, rotation, and seeded multiaxial piezoelectric vibration. Independent motion measurements separate common and differential components and allow controlled variation from correlated to independent and oppositely driven motion; a single rigid platform is the simpler common-frame limit. Bell-setting and state-correlation vectors express the sign reversal as a scalar projection. The construction yields binary joint probabilities and recovers the Tsirelson bound with oppositely signed optimal CHSH combinations.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-08-21 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2608.19242 — 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 2026-10-18T12:09:27.965Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-08-21?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).