论文标题

关于虫洞,合奏和宇宙学的评论

Comments on wormholes, ensembles, and cosmology

论文作者

Van Raamsdonk, Mark

论文摘要

Maldacena和Maoz强调,可以通过渐近广告欧几里得虫孔从渐近广告中获得分析性延续来获得某些闭合宇宙大爆炸/大脆性宇宙学的空间。我们研究了这些欧几里得虫洞的空间及其相关的宇宙物理学如何在ADS/CFT的背景下描述。我们指出,最近在Arxiv:1810.10601中提出的宇宙学的全息模型可以理解为这张图片的特定示例。基于此示例,我们建议在这种宇宙学方法的更一般示例中应该存在的关键特征。基本图片是,我们从与欧几里得虫洞的渐近区域相关的欧几里得全息CFT的两个非相互作用副本开始,并将其逐对辅助自由度,以使原始理论在IR中在IR中相互作用,但在UV中柔和。具有辅助自由度的完整理论的分区函数可以看作是在可能的来源集合上平均原始理论的分区函数的产物。 Lorentzian宇宙学时空是在生活在辅助自由度的希尔伯特空间中的宇宙的波函数中编码的。

Certain closed-universe big-bang/big-crunch cosmological spacetimes may be obtained by analytic continuation from asymptotically AdS Euclidean wormholes, as emphasized by Maldacena and Maoz. We investigate how these Euclidean wormhole spacetimes and their associated cosmological physics might be described within the context of AdS/CFT. We point out that a holographic model for cosmology proposed recently in arXiv:1810.10601 can be understood as a specific example of this picture. Based on this example, we suggest key features that should be present in more general examples of this approach to cosmology. The basic picture is that we start with two non-interacting copies of a Euclidean holographic CFT associated with the asymptotic regions of the Euclidean wormhole and couple these to auxiliary degrees of freedom such that the original theories interact strongly in the IR but softly in the UV. The partition function for the full theory with the auxiliary degrees of freedom can be viewed as a product of partition functions for the original theories averaged over an ensemble of possible sources. The Lorentzian cosmological spacetime is encoded in a wavefunction of the universe that lives in the Hilbert space of the auxiliary degrees of freedom.

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