Sahlmann H (2007)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2007
Publisher: American Physical Society
Book Volume: 76
Article Number: 104050
Journal Issue: 10
DOI: 10.1103/PhysRevD.76.104050
In 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 steplike 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. © 2007 The American Physical Society.
APA:
Sahlmann, H. (2007). Toward explaining black hole entropy quantization in loop quantum gravity. Physical Review D - Particles, Fields, Gravitation and Cosmology, 76(10). https://dx.doi.org/10.1103/PhysRevD.76.104050
MLA:
Sahlmann, Hanno. "Toward explaining black hole entropy quantization in loop quantum gravity." Physical Review D - Particles, Fields, Gravitation and Cosmology 76.10 (2007).
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