Baby Universes, Holography, and the Swampland
Baby Universes, Holography, and the Swampland
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发表时间：
2020-04
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通讯作者：
J. McNamara;C. Vafa
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作者：
J. McNamara;C. Vafa
在一些Swamp and条件的基础上，我们认为在一致的量子引力理论中，婴儿宇宙态的希尔伯特空间一定是一维的。这一场景可以被解释为量子引力中的一种“高斯熵定律”，并提供了欧几里得虫洞和全息词典的标准解释之间的张力的干净合成，而不需要系综。我们的观点主要依赖于最近提出的具有不同拓扑的宇宙状态之间存在量子力学规范冗余的可能性。我们进一步评论了这一假设在$d-leq 3$中的可能例外，以及系综在$d=2$的量子引力理论的背景下在全息理论中的作用(例如JT引力和在$d=3$中的可能的近亲)，我们认为这是不完整的物理理论，应该被视为高维量子引力理论中的膜，系综对其没有作用。
On the basis of a number of Swampland conditions, we argue that the Hilbert space of baby universe states must be one-dimensional in a consistent theory of quantum gravity. This scenario may be interpreted as a type of "Gauss's law for entropy" in quantum gravity, and provides a clean synthesis of the tension between Euclidean wormholes and a standard interpretation of the holographic dictionary, with no need for an ensemble. Our perspective relies crucially on the recently-proposed potential for quantum-mechanical gauge redundancies between states of the universe with different topologies. We further comment on the possible exceptions in $d \leq 3$ for this hypothesis and the role of an ensemble in holographic theories in the context of theories of quantum gravity in $d = 2$ (such as JT gravity and possible cousins in $d=3$), which we argue are incomplete physical theories that should be viewed as branes in a higher dimensional theory of quantum gravity for which an ensemble plays no role.