人口普查员的帽子
The Census Taker's Hat
摘要：
如果可观测的宇宙真的是一个全息图，那么是什么样的全息图？它是否足够丰富，足以追踪一个永恒膨胀的多元宇宙？它的物理和数学原理是什么？全息图是一个低维的量子场论吗？如果是，有多少维度是明确的，又有多少“浮现”出来？“全息描述是否为定义景观上的概率度量提供了线索？本讲座的目的是首先简要回顾Freivogel，Sekino，Susskind，and Yeh（FSSY）提出的全息宇宙学，然后根据“宇宙普查员“（Cosmic Census Taker）的概念发展一种物理解释：参考文献[1]中介绍的一种想法。的数学结构-惠勒德威特形式主义和全息的混合-是一个边界“刘维”场论，其紫外/红外的二元性是密切相关的人口普查员的观察时间演变。这种时间演化由刘维尔理论的重整化群流表示。虽然相当普遍，但人口普查员的想法最初是在\cite{shenker}中引入的，目的是计算与人口普查员的气泡碰撞的气泡。Garriga、Guth和Vilenkin发现的“记忆的持久性”现象有一个自然的RG解释，就像慢卷膨胀一样。RG流和相关的C-定理与广义熵界密切相关。
英文摘要：
If the observable universe really is a hologram, then of what sort? Is it rich enough to keep track of an eternally inflating multiverse? What physical and mathematical principles underlie it? Is the hologram a lower dimensional quantum field theory, and if so, how many dimensions are explicit, and how many "emerge?" Does the Holographic description provide clues for defining a probability measure on the Landscape? The purpose of this lecture is first, to briefly review a proposal for a holographic cosmology by Freivogel, Sekino, Susskind, and Yeh (FSSY), and then to develop a physical interpretation in terms of a "Cosmic Census Taker:" an idea introduced in reference [1]. The mathematical structure--a hybrid of the Wheeler DeWitt formalism and holography--is a boundary "Liouville" field theory, whose UV/IR duality is closely related to the time evolution of the Census Taker's observations. That time evolution is represented by the renormalization-group flow of the Liouville theory. Although quite general, the Census Taker idea was originally introduced in \cite{shenker}, for the purpose of counting bubbles that collide with the Census Taker's bubble. The "Persistence of Memory" phenomenon discovered by Garriga, Guth, and Vilenkin, has a natural RG interpretation, as does slow roll inflation. The RG flow and the related C-theorem are closely connected with generalized entropy bounds.
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。
