Toward explaining black hole entropy quantization in loop quantum gravity

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dc.creatorSahlmann, Hanno
dc.date2007-09-15
dc.date2007-11-29
dc.date.accessioned2026-07-07T11:19:22Z
dc.date.available2026-07-07T11:19:22Z
dc.descriptionIn a remarkable numerical analysis of the spectrum of states for a spherically symmetric black hole in loop quantum gravity, Corichi, Diaz-Polo and Fernandez-Borja found that the entropy of the black hole horizon increases in what resembles discrete steps as a function of area. In the present article we reformulate the combinatorial problem of counting horizon states in terms of paths through a certain space. This formulation sheds some light on the origins of this step-like behavior of the entropy. In particular, using a few extra assumptions we arrive at a formula that reproduces the observed step-length to a few tenths of a percent accuracy. However, in our reformulation the periodicity ultimately arises as a property of some complicated process, the properties of which, in turn, depend on the properties of the area spectrum in loop quantum gravity in a rather opaque way. Thus, in some sense, a deep explanation of the observed periodicity is still lacking.
dc.description15 pages, 5 figures. v3: final version (essentially as it appeared in PRD)
dc.identifierhttps://arxiv.org/abs/0709.2433
dc.identifierhttp://arxiv.org/abs/0709.2433
dc.identifierPhys.Rev.D76:104050,2007
dc.identifierdoi:10.1103/PhysRevD.76.104050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193656
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleToward explaining black hole entropy quantization in loop quantum gravity
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