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Black hole state counting in loop quantum gravity: a number-theoretical approach

AuthorsAgulló, Iván ; Barbero González, Jesús Fernando ; Díaz-Polo, Jacobo ; Fernández Borja, Enrique ; Villaseñor, Eduardo J. S.
Keywords[PACS] Quantum aspects of black holes, evaporation, thermodynamics
[PACS] Loop quantum gravity, quantum geometry, spin foams
Issue Date27-May-2008
PublisherAmerican Physical Society
CitationPhysical Review Letters 100(21): 211301 (2008)
AbstractWe give an efficient method, combining number-theoretic and combinatorial ideas, to exactly compute black hole entropy in the framework of loop quantum gravity. Along the way we provide a complete characterization of the relevant sector of the spectrum of the area operator, including degeneracies, and explicitly determine the number of solutions to the projection constraint. We use a computer implementation of the proposed algorithm to confirm and extend previous results on the detailed structure of the black hole degeneracy spectrum.
Description4 pages, 1 figure.-- PACS nrs.: 04.70.Dy, 04.60.Pp.-- ArXiv pre-print available at: http://arxiv.org/abs/0802.4077
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevLett.100.211301
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