Black Hole Entropy from indistinguishable quantum geometric excitations
Abstract
In loop quantum gravity, the quantum geometry of a black hole horizon consist of discrete non-perturbative quantum geometric excitations (or punctures) labeled by spins, which are responsible for the quantum area of the horizon. If these punctures are compared to a gas of particles, then the spins associated with the punctures can be viewed as single puncture area levels analogous to single particle energy levels. Consequently, if we {\it assume} these punctures to be {\it indistinguishable}, the microstate count for the horizon resembles that of Bose-Einstein counting formula for gas of particles. For the Bekenstein-Hawking area law(BHAL) to follow from the entropy calculation in the large area limit, the Barbero-Immirzi parameter() approximately takes a constant value.
Cite
@article{arxiv.1402.1343,
title = {Black Hole Entropy from indistinguishable quantum geometric excitations},
author = {Abhishek Majhi},
journal= {arXiv preprint arXiv:1402.1343},
year = {2016}
}
Comments
7 pages, 4 figures