标题： 作为介观系统的引力 显示英文标题

标题： Gravity as a mesoscopic system

摘要： 我们采用概率介观描述，以在符合ETH的通用混沌系统中热关联函数的晚期时间涨落与布朗运动之间建立概念和定量类比。 在此框架中，'简单'算符的热关联函数由随机过程描述，这些过程只能以概率方式探测微观理论的特征。 我们将这个形式应用于AdS$_3$的半经典引力情况，表明虫洞贡献可以自然地被识别为随机过程的矩。 我们还指出了一种'套娃娃娃'递归结构，其中信息隐藏在越来越高的矩中，并且这种结构可以在随机框架中自然地得到解释。 随后，我们从边界视角重新解释引力结果，将CFT的OPE数据提升为概率分布。 这项研究的结果表明，AdS中的半经典引力可以自然地被解释为量子引力的介观描述，而介观全息对偶可以被表述为矩与概率分布之间的对偶。 显示英文摘要

摘要： We employ a probabilistic mesoscopic description to draw conceptual and quantitative analogies between Brownian motion and late-time fluctuations of thermal correlation functions in generic chaotic systems respecting ETH. In this framework, thermal correlation functions of `simple' operators are described by stochastic processes, which are able to probe features of the microscopic theory only in a probabilistic sense. We apply this formalism to the case of semiclassical gravity in AdS$_3$, showing that wormhole contributions can be naturally identified as moments of stochastic processes. We also point out a `Matryoshka doll' recursive structure in which information is hidden in higher and higher moments, and which can be naturally justified within the stochastic framework. We then re-interpret the gravitational results from the boundary perspective, promoting the OPE data of the CFT to probability distributions. The outcome of this study shows that semiclassical gravity in AdS can be naturally interpreted as a mesoscopic description of quantum gravity, and a mesoscopic holographic duality can be framed as a moment-vs-probability-distribution duality.