2024-03-29T12:16:39Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/128402016-07-12T07:41:53Zcom_10261_135com_10261_4com_10261_61col_10261_388col_10261_314
2009-05-06T07:11:38Z
urn:hdl:10261/12840
Black hole state counting in loop quantum gravity: a number-theoretical approach
Agulló, Iván
Barbero González, Jesús Fernando
Díaz-Polo, Jacobo
Fernández Borja, Enrique
Villaseñor, Eduardo J. S.
[PACS] Quantum aspects of black holes, evaporation, thermodynamics
[PACS] Loop quantum gravity, quantum geometry, spin foams
4 pages, 1 figure.-- PACS nrs.: 04.70.Dy, 04.60.Pp.-- ArXiv pre-print available at: http://arxiv.org/abs/0802.4077
We 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.
2009-05-06T07:11:38Z
2009-05-06T07:11:38Z
2008-05-27
artículo
Physical Review Letters 100(21): 211301 (2008)
0031-9007
http://hdl.handle.net/10261/12840
10.1103/PhysRevLett.100.211301
eng
http://dx.doi.org/10.1103/PhysRevLett.100.211301
openAccess
American Physical Society