标题： 广义相对论统计力学 显示英文标题

标题： General relativistic statistical mechanics

摘要： 理解在完整的广义相对论背景下的热力学和统计力学是一个开放性问题。 我给出了平衡态、平均值、平均几何、熵和温度的试探性定义，这些定义在非相对论极限下退化为传统定义，但在一般的协变理论中仍然有效。 该形式化方法可以扩展到量子理论。 该构造建立在热时间的概念、对此时间的局部性概念以及全局温度和局部温度之间的区别的基础上。 最后一个是局部温度计测量的温度，由kT = hbar d tau/ds给出，其中k是玻尔兹曼常数，hbar是普朗克常数，ds是固有时，d tau是平衡热时间。 显示英文摘要

摘要： Understanding thermodynamics and statistical mechanics in the full general relativistic context is an open problem. I give tentative definitions of equilibrium state, mean values, mean geometry, entropy and temperature, which reduce to the conventional ones in the non-relativistic limit, but remain valid for a general covariant theory. The formalism extends to quantum theory. The construction builds on the idea of thermal time, on a notion of locality for this time, and on the distinction between global and local temperature. The last is the temperature measured by a local thermometer, and is given by kT = hbar d tau/ds, with k the Boltzmann constant, hbar the Planck constant, ds proper time and d tau the equilibrium thermal time.