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arXiv 1804.03992gr-qchep-thquant-ph
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边界多层统计重力

Multi-layer statistical gravity on the boundary

Pierre A Mandrin

摘要:

从一条重要的研究路径出发,我们认为引力是一种受统计力学支配的集体现象。虽然以前的研究都集中在热力学热流在2d视界所感知的一个单一的,加速的观察者,我们在这里评估的微观状态的数量产生多个观察者感知多个视野内的时空区域的边界的叶理。这就产生了一个与温度无关的玻尔兹曼型“熵”,它等价于边界作用量,我们称之为m-熵。根据其统计解释,当爱因斯坦场方程成立时,作为引力场函数的m熵分布最大。然而,如果“空间原子”的数量很小,爱因斯坦方程就不成立,也就不能定义尖锐的几何。另一方面,微观态的跃迁概率可以被计算,并可以被解释为量子时空的(替代)模型的过程。

英文摘要:

Starting from an important research path, we consider gravity as a collective phenomenon governed by statistical mechanics. While previous studies have focussed on the thermodynamic heat flow across a 2d-horizon as perceived by a single, accelerated observer, we evaluate here the number of microscopic states arising for multiple observers perceiving multiple horizons within foliations of the boundary of a space-time region. This yields a temperature-independent, Boltzmann-type "entropy" which is equivalent to the boundary action and which we call m-entropy. According to its statistical interpretation, the m-entropy distribution as a function of the gravitational field is maximum when Einstein's Field Equations hold. However, if the number of "atoms of space" is small, Einstein's Equations do not hold and no sharp geometry can be defined. On the other hand, the transition probability of microstates can be computed and can be interpreted as processes of a (alternative) model of quantum space-time.

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。

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