Agradecimientos:
We wish to thank Ivan Agullo, Jacobo Diaz-Polo, and Enrique F. Borja for their very interesting comments and encouragement. We also want to thank Jesu´s Salas for patiently listening to our comments on the paper and many helpful discussions. Finally we also thank Pablo San Jose´ for his invaluable assistance with optimizing our MATHEMATICA codes. This work has been supported by the Spanish MICINN research Grant No. FIS2009-11893 and the Consolider-Ingenio 2010 Program CPAN (CSD2007-00042). Some of the computations and plots have been done with the help of MATHEMATICA.
Proyecto:
Gobierno de España. FIS2009-11893 Gobierno de España. CSD2007-00042
We use mathematical methods based on generating functions to study the statistical properties of the black hole degeneracy spectrum in loop quantum gravity. In particular we will study the persistence of the observed effective quantization of the entropy as a We use mathematical methods based on generating functions to study the statistical properties of the black hole degeneracy spectrum in loop quantum gravity. In particular we will study the persistence of the observed effective quantization of the entropy as a function of the horizon area. We will show that this quantization disappears as the area increases despite the existence of black hole configurations with a large degeneracy. The methods that we describe here can be adapted to the study of the statistical properties of the black hole degeneracy spectrum for all the existing proposals to define black hole entropy in loop quantum gravity.[+][-]
