发表机构
Newcastle University; Leibniz Universität Hannover（纽卡斯尔大学; 汉诺威莱布尼茨大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究Kochen-Specker语境性的洛伦兹不变性，发现限制于自旋时因Wigner旋转导致语境性丧失，并给出各悖论失效的阈值，且q-plate可无运动地实验验证。
AI 中文摘要
我们探讨Kochen-Specker语境性是否具有洛伦兹不变性。在全希尔伯特空间上，它是洛伦兹不变的，因为boost以幺正方式作用。但限制在自旋上，则并非如此：动量作为环境施加依赖于动量的Wigner旋转，使自旋观测量变得不尖锐，并破坏了状态无关语境性背后的算符恒等式。对于自旋1/2，一个标量控制损失，即sin^2(θ_W/2)的包络平均Δ（其中θ_W为Wigner角）；对于任意自旋，一条射线以由其横向于boost的自旋方差决定的速率退化。在仅自旋的描述中，自由意志定理的SPIN公理对所有Δ>0失效；Yu-Oh集合在Δ≈0.008至0.016之间失去语境性，且状态无关性先消失；Peres-Mermin正方形在Δ≈0.059或0.074（依取向而定）失去语境性；单重态CHSH在Δ≥0.159失去非局域性；GHZ态或门在Δ≈0.206失去Raussendorf的语境性证书。q-plate在光子偏振上精确实现该信道，用延迟代替快度，因此非局域性、GHZ和定向源结果无需运动即可测试。
英文摘要
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 $Δ$ of $\sin^2(θ_W/2)$ (where $θ_W$ 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 $Δ>0$; the Yu-Oh set loses contextuality between $Δ\approx0.008$ and $0.016$, with state independence going first; the Peres-Mermin square loses contextuality at $Δ\approx0.059$ or $0.074$ by orientation; singlet CHSH loses nonlocality for $Δ\geq0.159$; and a GHZ-state OR gate loses Raussendorf's contextuality certificate at $Δ\approx0.206$. 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.
Comments15+3 pages, 10 figures
