Quantum geometry and gravitational entropy

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Most 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 S5 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. ... continued below

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Simon, Joan; Balasubramanian, Vijay; Czech, Bart Iomiej; Larjo, Klaus; Marolf, Donald & Simon, Joan May 29, 2007.

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Most 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 S5 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.

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  • Journal Name: Journal of High Energy Physics; Journal Volume: 2007; Journal Issue: 12; Related Information: Journal Publication Date: 18 December 2007

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  • Report No.: LBNL-412E
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 934489
  • Archival Resource Key: ark:/67531/metadc895836

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Office of Scientific & Technical Information Technical Reports

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  • May 29, 2007

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  • Sept. 27, 2016, 1:39 a.m.

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  • Oct. 3, 2016, 1:57 p.m.

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Simon, Joan; Balasubramanian, Vijay; Czech, Bart Iomiej; Larjo, Klaus; Marolf, Donald & Simon, Joan. Quantum geometry and gravitational entropy, article, May 29, 2007; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc895836/: accessed December 17, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.