Black hole entropy from indistinguishable quantum-geometric excitations

Abhishek Majhi (ICN-UNAM)

In loop quantum gravity the quantum geometry of a black hole horizon consist of discrete nonperturbative 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 of the gs particles. Consequently, if we assume these punctures to be indistinguishable, the microstate count for the horizon resembles that of Bose-Einstein counting formula for gas of particles. The entropy calculation, in the large area limit, comes out to be the Bekenstein-Hawking area law with a subleading logarithmic correction having a coefficient -3/2. The Barbero-Immirzi parameter, approximately takes a constant value.