AI 中文总结
研究无时间信号与时间经典性问题，引入公共不动点机制，通过对三态环的研究表明其流形上态虽满足精确成对NSIT，但违反莱格特 - 加尔格不等式，精确NSIT仅证边缘信号消失，非经典时间历史存在。
AI 中文摘要
无时间信号（NSIT）常被视为非侵入性可测量性的纯粹操作残余。若早期测量使每个后期边缘分布不变，则时间过程看似经典。我们表明此推断错误。我们引入非选择性测量通道的公共不动点（CFP）作为精确机制，它消除侵入性的所有边缘证据，同时保留受干扰结果条件分支。对于受局部简并吕德斯测量的三态环，我们解析求解了完整的CFP流形。该流形上的每个态都满足精确的成对NSIT，但每个非平凡成员都违反了莱格特 - 加尔格不等式，包括最大混合态。这种违反由有限分支位移而非残余信号控制。隐藏变量重构、熵见证、协议景观扫描、噪声鲁棒性和有限次测量模拟表明，精确NSIT仅证明结果擦除后边缘信号消失，而非经典时间历史的存在。
英文摘要
No signaling in time (NSIT) has often been treated as the clean operational remnant of noninvasive measurability. If an earlier measurement leaves every later marginal unchanged, the temporal process appears classical. We show that this inference is false. We introduce common fixed points (CFPs) of nonselective measurement channels as an exact mechanism that erases all marginal evidence of invasiveness while preserving disturbed outcome conditioned branches. For a qutrit ring subject to a local degenerate Luders measurement, we solve the full CFP manifold analytically. Every state on this manifold satisfies exact pairwise NSIT, yet every nontrivial member violates a Leggett Garg inequality, including the maximally mixed state. The violation is governed by finite branch displacement, not by residual signaling. Hidden variable reconstruction, entropic witnesses, protocol landscape scans, noise robustness, and finite shot simulations show that exact NSIT certifies only the disappearance of marginal signals after outcome erasure, not the existence of a classical temporal history.
