AI 中文总结
本文开发的方法可找出隐含假设并验证其舍弃后的结果，经应用于密码学、相对论等多领域，从\textsc{SAT}导出$\textsf{P}\neq\textsf{NP}$的矛盾，揭示了跨领域的隐藏结构。
AI 中文摘要
本文开发了一种单一方法，用于找出已接受结果的隐含假设，将其变为变量，并证明当该假设被舍弃后会产生什么结果，且表明该方法在毫无共性的领域间均有效。其形式核心是动态句法不变性原理：当系统规则随时间演化时，在一个严格的必要条件下，已知的静态不可达性结果仍能成立。由此产生直接的密码学收益：滚动密钥方案的保密性在结构更新下仍能跨会话保持，强化了早期工作的静态保证。随后将该方法应用于彼此差异极大的场景：狭义相对论、物理定律形式理论的适用范围，以及可计算且完全有意义但对所有观察者而言都与噪声无法区分的输出，每个场景都基于自身条件确立，从而发现了它们之下反复出现的结构，而非强加的结构：在完整描述层面真实存在的区分，在受限层面可能不可见。将其应用于\textsc{SAT}时，会产生一个矛盾，根据标准理论已承认的内容而非假设，从该矛盾中一致性迫使$\textsf{P}\neq\textsf{NP}$，关于该证明存在一个保留意见，而非关于答案。
英文摘要
This paper develops a single method, find what an accepted result silently assumed, make it a variable, and prove what follows once it is dropped, and shows it keeps working across domains with nothing in common. Its formal core is the Dynamic Syntactic Invariance Principle: a known static inaccessibility result survives when a system's rules evolve in time, under one sharp necessary condition. A direct cryptographic payoff follows: the secrecy of a rolling-key scheme persists across sessions under a structural update, strengthening a static guarantee from earlier work. The same move is then carried into settings far from each other, special relativity, the reach of a formal theory of physical law, and computable output that is fully meaningful yet indistinguishable from noise to every observer, each established on its own terms, so the recurring structure beneath them is found, not imposed: a distinction real at a full level of description can be invisible at a restricted one. Applied to \textsc{SAT}, this yields a contradiction from which coherence forces $\mathsf{P}\neq\mathsf{NP}$, derived from what standard theory already admits rather than assumed,offered with one reservation, about the proof, not the answer.
