The thermal time hypothesis (TTH) is a proposed solution to the problem of time: a coarse-grained, statistical state determines a thermal dynamics according to which it is in equilibrium, and this dynamics is identified as the flow of physical time in generally covariant quantum theories. This paper raises a series of objections to the TTH as developed by Connes and Rovelli (1994). Two technical challenges concern the implementation of the TTH in the classical limit and the relationship between thermal time and proper time. Two more conceptual problems focus on interpreting the flow of time in non-equilibrium states and the lack of gauge invariance.

中文翻译：

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量子热力学可以节省时间吗？

热时间假设 (TTH) 是时间问题的一种建议解决方案：粗粒度的统计状态确定了处于平衡状态的热动力学，并且这种动力学被识别为物理时间在一般协变中的流动量子理论。本文对 Connes 和 Rovelli (1994) 提出的 TTH 提出了一系列反对意见。两个技术挑战涉及经典极限中 TTH 的实现以及热时间和适当时间之间的关系。另外两个概念性问题侧重于解释非平衡状态下的时间流动和规范不变性的缺乏。