Metraipolis › archive › dc_bbabc04528f4

Frame dependence of Kochen-Specker contextuality for relativistic spin systems — arXiv:2610.00274

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.00274
License (as archived): CC0-1.0
Archived: 2026-10-07T11:37:03.002Z
SHA-256 of the archived text: 1a4198b3f2db86ff5b270c1f43a6b328057c0b796063f62a961ace1ee7428261
Stable URL of this page: https://metraipolis.com/documento/dc_bbabc04528f4

How to cite

Frame dependence of Kochen-Specker contextuality for relativistic spin systems — arXiv:2610.00274 — arXiv (en), https://arxiv.org/abs/2610.00274 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_bbabc04528f4 (Metraipolis archive dc_bbabc04528f4, sha256 1a4198b3f2db86ff5b270c1f43a6b328057c0b796063f62a961ace1ee7428261)

BibTeX

@misc{dcbbabc04528f4,
  title = {Frame dependence of Kochen-Specker contextuality for relativistic spin systems — arXiv:2610.00274},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.00274},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_bbabc04528f4; sha256 1a4198b3f2db86ff5b270c1f43a6b328057c0b796063f62a961ace1ee7428261},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.00274. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We ask whether Kochen-Specker contextuality is Lorentz invariant. On the full Hilbert space, it is, since boosts act unitarily. Restricted to spin, it is not: momentum acts as an environment applying momentum-dependent Wigner rotations, leaving spin observables unsharp and breaking the operator identities behind state-independent contextuality. For spin $1/2$ one scalar governs the loss, the packet average $\Delta$ of $\sin^2(\theta_W/2)$ (where $\theta_W$ is the Wigner angle); for any spin, a ray degrades at a rate set by its spin variance transverse to the boost. In the spin-only account, the Free Will Theorem's SPIN axiom fails for every $\Delta>0$; the Yu-Oh set loses contextuality between $\Delta\approx0.008$ and $0.016$, with state independence going first; the Peres-Mermin square loses contextuality at $\Delta\approx0.059$ or $0.074$ by orientation; singlet CHSH loses nonlocality for $\Delta\geq0.159$; and a GHZ-state OR gate loses Raussendorf's contextuality certificate at $\Delta\approx0.206$. A $q$-plate implements the channel exactly on photon polarisation, with a retardation in place of the rapidity, so the nonlocality, GHZ and aimed-source results are testable without motion.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-10-02 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph) ; Optics (physics.optics).
Pagina del lavoro: https://arxiv.org/abs/2610.00274 — 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 2026-10-07T11:19:01.616Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-10-02?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).