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- W2772084811 abstract "We consider the emergence from quantum entanglement of spacetime geometry in a bulk region. For certain classes of quantum states in an appropriately factorized Hilbert space, a spatial geometry can be defined by associating areas along codimension-one surfaces with the entanglement entropy between either side. We show how Radon transforms can be used to convert this data into a spatial metric. Under a particular set of assumptions, the time evolution of such a state traces out a four-dimensional spacetime geometry, and we argue using a modified version of Jacobson's entanglement equilibrium that the geometry should obey Einstein's equation in the weak-field limit. We also discuss how entanglement equilibrium is related to a generalization of the Ryu-Takayanagi formula in more general settings, and how quantum error correction can help specify the emergence map between the full quantum-gravity Hilbert space and the semiclassical limit of quantum fields propagating on a classical spacetime." @default.
- W2772084811 created "2017-12-22" @default.
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- W2772084811 date "2018-04-03" @default.
- W2772084811 modified "2023-09-26" @default.
- W2772084811 title "Bulk entanglement gravity without a boundary: Towards finding Einstein’s equation in Hilbert space" @default.
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- W2772084811 doi "https://doi.org/10.1103/physrevd.97.086003" @default.
- W2772084811 hasPublicationYear "2018" @default.
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