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Abstract
摘要 |
Quantum entanglement & typicality play a crucial role to understand the foundations of statistical mechanics. Recently, it has been suggested that the former is also relevant to explain the connectedness of spacetime. In particular, a direct relation between semiclassical wormholes and quantum entanglement has been conjectured. In this talk, I will first discuss some necessary, but not sufficient, conditions that correlation functions of low energy gravity probe operators must satisfy to allow an interpretation in terms of a semiclassical wormhole. I will then study typicality of these correlators in the space of quantum states having the same amount of entanglement. To compute these correlators I will argue that low energy gravity probe operators behave like random matrices when acting on the space of black hole microstates. I will conclude that typical entangled states do not allow a semiclassical wormhole interpretation. |
