热时间假说中的时钟和物质主义
Clocks and Relationalism in the Thermal Time Hypothesis
摘要：
热时间假说（TTH）已被提出作为一种通用方法，用于从背景无关理论中识别时间变量，这些理论不配备预定义的时钟变量。在这里，我们探索的TTH在一个完全关系的上下文中的一些影响，通过构建一个协议，用于创建“热时钟”的组件的一个大的，但有限的量子力学系统。该协议适用于本地，在这个意义上，我们不试图构建一个单一的时钟描述整个系统的演变，而是我们构建时钟描述每个子系统的发展。我们发现，我们的时钟的演变所需的一致性条件是操作等价于广义相对论的托尔曼-埃克塞特关系的热平衡在一个静态的引力场，但没有假设的重力或任何形式的度量场。
英文摘要：
The Thermal Time Hypotheis (TTH) has been proposed as a general method for identifying a time variable from within background-free theories which do not come equipped with a pre-defined clock variable. Here, we explore some implications of the TTH in an entirely relational context by constructing a protocol for the creation of "thermal clocks" from components of a large but finite quantum mechanical system. The protocol applies locally, in the sense that we do not attempt to construct a single clock describing the evolution of the entire system, but instead we construct clocks which describe the evolution of each subsystem of interest. We find that a consistency condition required for the evolution of our clocks is operationally equivalent to the general relativistic Tolman-Ehrenfest relation for thermal equilibrium in a static gravitational field but without the assumption of gravity or a metric field of any kind.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
