Quantum geometry and gravitational entropy

dc.creatorBalasubramanian, Vijay
dc.creatorCzech, Bartlomiej
dc.creatorMarolf, Donald
dc.creatorLarjo, Klaus
dc.creatorSimon, Joan
dc.date2007-05-30
dc.date2009-01-30
dc.date.accessioned2026-07-07T13:04:24Z
dc.date.available2026-07-07T13:04:24Z
dc.descriptionMost quantum states have wavefunctions that are widely spread over the accessible Hilbert space and hence do not have a good description in terms of a single classical geometry. In order to understand when geometric descriptions are possible, we exploit the AdS/CFT correspondence in the half-BPS sector of asymptotically AdS_5 x S^5 universes. In this sector we devise a "coarse-grained metric operator" whose eigenstates are well described by a single spacetime topology and geometry. We show that such half-BPS universes have a non-vanishing entropy if and only if the metric is singular, and that the entropy arises from coarse-graining the geometry. Finally, we use our entropy formula to find the most entropic spacetimes with fixed asymptotic moments beyond the global charges.
dc.description29 pages, 2 figures; references added
dc.identifierhttps://arxiv.org/abs/0705.4431
dc.identifierhttp://arxiv.org/abs/0705.4431
dc.identifierJHEP 0712:067,2007
dc.identifierdoi:10.1088/1126-6708/2007/12/067
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227150
dc.subjectHigh Energy Physics - Theory
dc.titleQuantum geometry and gravitational entropy
dc.typetext

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