An Area Rescaling Ansatz and Black Hole Entropy from Loop Quantum Gravity

Considering the possibility of ‘renormalization’ of the gravitational constant on the horizon, leading to a dependence on the level of the associated Chern-Simons theory, a rescaled area spectrum is proposed for the nonrotating black hole horizon in loop quantum gravity. The statistical mechanical c...

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Main Author: Abhishek Majhi
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2019/6570896
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author Abhishek Majhi
author_facet Abhishek Majhi
author_sort Abhishek Majhi
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description Considering the possibility of ‘renormalization’ of the gravitational constant on the horizon, leading to a dependence on the level of the associated Chern-Simons theory, a rescaled area spectrum is proposed for the nonrotating black hole horizon in loop quantum gravity. The statistical mechanical calculation leading to the entropy provides a unique choice of the rescaling function for which the Bekenstein-Hawking area law is yielded without the need to choose the Barbero-Immirzi parameter (γ). γ is determined, rather than being chosen, by studying the limit in which the ‘renormalized’ gravitational constant on the horizon asymptotically approaches the ‘bare’ value. The possible physical dynamics behind the ‘renormalization’ is discussed.
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spelling doaj-art-7e81cfe300a548f8a77bccf5e3f5c9ac2025-02-03T06:04:59ZengWileyAdvances in High Energy Physics1687-73571687-73652019-01-01201910.1155/2019/65708966570896An Area Rescaling Ansatz and Black Hole Entropy from Loop Quantum GravityAbhishek Majhi0Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A. Postal 70-543, Mexico D.F. 04510, MexicoConsidering the possibility of ‘renormalization’ of the gravitational constant on the horizon, leading to a dependence on the level of the associated Chern-Simons theory, a rescaled area spectrum is proposed for the nonrotating black hole horizon in loop quantum gravity. The statistical mechanical calculation leading to the entropy provides a unique choice of the rescaling function for which the Bekenstein-Hawking area law is yielded without the need to choose the Barbero-Immirzi parameter (γ). γ is determined, rather than being chosen, by studying the limit in which the ‘renormalized’ gravitational constant on the horizon asymptotically approaches the ‘bare’ value. The possible physical dynamics behind the ‘renormalization’ is discussed.http://dx.doi.org/10.1155/2019/6570896
spellingShingle Abhishek Majhi
An Area Rescaling Ansatz and Black Hole Entropy from Loop Quantum Gravity
Advances in High Energy Physics
title An Area Rescaling Ansatz and Black Hole Entropy from Loop Quantum Gravity
title_full An Area Rescaling Ansatz and Black Hole Entropy from Loop Quantum Gravity
title_fullStr An Area Rescaling Ansatz and Black Hole Entropy from Loop Quantum Gravity
title_full_unstemmed An Area Rescaling Ansatz and Black Hole Entropy from Loop Quantum Gravity
title_short An Area Rescaling Ansatz and Black Hole Entropy from Loop Quantum Gravity
title_sort area rescaling ansatz and black hole entropy from loop quantum gravity
url http://dx.doi.org/10.1155/2019/6570896
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