时间的条件解释中的偏好时间问题
The preferred-time problem in the conditional interpretation of time
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中文总结 AI 辅助
该研究针对量子理论PW无时间表述的偏好时间问题，指出其原条件解释不成立，提出用世界内指针可观测量替代独立时钟时间算符，使PW形式体系仍有效。
中文摘要 AI 辅助
在量子理论的无时间表述中，Page-Wootters提议（PW）将时间和动力学恢复为相对的时钟与世界态。通过将整体无时间系统解释为与世界纠缠的时钟，具有确定时钟读数的态似乎能将世界的时间态恢复为相对态，进而涌现出动力学。但纠缠态允许无限多的乘积态叠加分解，每种分解对应同一时钟系统的不同但同等有效的时间算符。同一时钟系统的不同有效时间算符选择会导致不同的物理历史，其中一个历史中的世界态是另一个历史中世界态的叠加。将某一算符固定为“时钟时间”会引入PW提议本要解释的时间意义，因此，世界态被动依赖于时钟态的PW解释无法成立。无时间态通过世界的内指针可观测量分解为时间依赖态，无需将时间算符的作用外包给独立时钟。幸运的是，只要根据世界自身的内指针可观测量来解释，PW的形式体系仍然有效。
英文摘要
In timeless formulations of quantum theory, the Page-Wootters proposal (PW) recovers time and dynamics as relative clock-and-world states. By interpreting the total timeless system as a clock entangled with the world, the states having a definite clock reading appear to recover the temporal states of the world as relative states, and dynamics emerges. But an entangled state admits infinitely many decompositions as a superposition of product states, each decomposition corresponding to a different but equally valid time operator of the same clock system. Different valid choices of the time operator for the same clock system lead to different physical histories, where the world states in a history are superpositions of the world states from another history. Fixing one operator as "the" clock time would import the temporal meaning that the Page-Wootters proposal is meant to explain in the first place. Therefore, the interpretation of PW that the world state is passively conditioned on the clock state cannot hold. The timeless state is resolved into time-dependent states by the intrinsic pointer observables of the world, without having to outsource the role of the time operator to a separate clock. Fortunately, the formalism of PW remains valid, provided that it is interpreted in terms of intrinsic pointer observables of the world itself.
