TITLE:
Counting the Microstates at the Black Hole Horizon and the Immirzi Parameter of Loop Quantum Gravity
AUTHORS:
M. Sadiq
KEYWORDS:
Immirzi Parameter, Spin Networks, Quantum Gravity, Loop Quantum Gravity, Isotropic Oscillator, SU(2), Quasinormal Modes, Black Hole
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.10,
October
9,
2020
ABSTRACT: Motivated by Bekenstein’s original thought that led him to his famous area-entropy formula for a black hole and by our recent study regarding the black hole dynamics, we identify the appropriate microscopic degrees of freedom in loop quantum gravity that are responsible for the black hole entropy. We achieve consistent results by taking the j = 1/2 edges as dominant and by subjecting these edges to experience quantum fluctuations at the horizon. This also leads to a modification of the value of the Immirzi parameter in the SU(2) framework.