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A physical protocol for observers near the boundary to obtain bulk information in quantum gravity

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arxiv 2008.01740 v2 pith:FXRCVX4L submitted 2020-08-04 hep-th gr-qc

A physical protocol for observers near the boundary to obtain bulk information in quantum gravity

classification hep-th gr-qc
keywords bulkobserversprotocolboundarygravityinformationlow-energynear
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider a set of observers who live near the boundary of global AdS, and are allowed to act only with simple low-energy unitaries and make measurements in a small interval of time. The observers are not allowed to leave the near-boundary region. We describe a physical protocol that nevertheless allows these observers to obtain detailed information about the bulk state. This protocol utilizes the leading gravitational back-reaction of a bulk excitation on the metric, and also relies on the entanglement-structure of the vacuum. For low-energy states, we show how the near-boundary observers can use this protocol to completely identify the bulk state. We explain why the protocol fails completely in theories without gravity, including non-gravitational gauge theories. This provides perturbative evidence for the claim that one of the signatures of holography -- the fact that information about the bulk is also available near the boundary -- is already visible in the low-energy theory of gravity.

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Cited by 2 Pith papers

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    Establishes holography of information in the CGHS model via asymptotic algebras and argues that islands violate commutativity of left- and right-boundary algebras.