scholarly journals Black Hole Entropy from Indistinguishable Quantum Geometric Excitations

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Abhishek Majhi
Keyword(s):  
Black Hole ◽  
Energy Levels ◽  
Black Hole Entropy ◽  
Particle Energy ◽  
Simons Theory ◽  
Large Area ◽  
Area Limit ◽  
Bose Einstein ◽  
Counting Formula ◽  
Chern Simons

In loop quantum gravity the quantum geometry of a black hole horizon consists 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. 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. For the Bekenstein-Hawking area law to follow from the entropy calculation in the large area limit, the Barbero-Immirzi parameter (γ) approximately takes a constant value. As a by-product, we are able to speculate the state counting formula for the SU(2) quantum Chern-Simons theory coupled to indistinguishable sources in the weak coupling limit.

scholarly journals Black Hole Entropy andSU(2)Chern-Simons Theory

2010 ◽  
Vol 105 (3) ◽  
Author(s):  
Jonathan Engle ◽  
Karim Noui ◽  
Alejandro Perez
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Simons Theory ◽  
Chern Simons ◽  
Chern Simons Theory

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

2019 ◽  
Vol 2019 ◽  
pp. 1-6
Author(s):  
Abhishek Majhi
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Gravitational Constant ◽  
Black Hole Entropy ◽  
Simons Theory ◽  
Area Spectrum ◽  
Statistical Mechanical ◽  
Chern Simons ◽  
Chern Simons Theory

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.

scholarly journals Gravitational Chern-Simons terms and black hole entropy. Global aspects

2012 ◽  
Vol 2012 (10) ◽  
Author(s):  
L. Bonora ◽  
M. Cvitan ◽  
P. Dominis Prester ◽  
S. Pallua ◽  
I. Smolić
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Chern Simons

scholarly journals THE STRUCTURE OF ADS BLACK HOLES AND CHERN–SIMONS THEORY IN 2 + 1 DIMENSIONS

1999 ◽  
Vol 14 (04) ◽  
pp. 505-520 ◽  
Author(s):  
SHARMANTHIE FERNANDO ◽  
FREYDOON MANSOURI
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Gauge Theory ◽  
Excited States ◽  
Simons Theory ◽  
De Sitter ◽  
Sitter Group ◽  
Ads Black Holes ◽  
Chern Simons ◽  
Chern Simons Theory

We study anti-de Sitter black holes in 2 + 1 dimensions in terms of Chern–Simons gauge theory of the anti-de Sitter group coupled to a source. Taking the source to be an anti-de Sitter state specified by its Casimir invariants, we show how all the relevant features of the black hole are accounted for. The requirement that the source be a unitary representation leads to a discrete tower of excited states which provide a microscopic model for the black hole.

scholarly journals Topological Entanglement Entropy of Black Hole Interiors

2020 ◽  
pp. 1940001
Author(s):  
Eric Howard
Keyword(s):  
Black Hole ◽  
Long Range ◽  
Entanglement Entropy ◽  
Quantum Hall ◽  
Black Hole Entropy ◽  
Topological Quantum ◽  
Boundary Correspondence ◽  
Entropy Of Black Hole ◽  
Topological Entanglement Entropy ◽  
Chern Simons

Recent theoretical progress shows that ([Formula: see text]) black hole solution manifests long-range topological quantum entanglement similar to exotic non-Abelian excitations with fractional quantum statistics. In topologically ordered systems, there is a deep connection between physics of the bulk and that at the boundaries. Boundary terms play an important role in explaining the black hole entropy in general. We find several common properties between BTZ black holes and the Quantum Hall effect in ([Formula: see text])-dimensional bulk/boundary theories. We calculate the topological entanglement entropy of a ([Formula: see text]) black hole and recover the Bekenstein–Hawking entropy, showing that black hole entropy and topological entanglement entropy are related. Using Chern–Simons and Liouville theories, we find that long-range entanglement describes the interior geometry of a black hole and identify it with the boundary entropy as the bond required by the connectivity of spacetime, gluing the short-range entanglement described by the area law. The IR bulk–UV boundary correspondence can be realized as a UV low-excitation theory on the bulk matching the IR long-range excitations on the boundary theory. Several aspects of the current findings are discussed.

scholarly journals NONCOMMUTATIVE BTZ BLACK HOLE IN DIFFERENT COORDINATES

2011 ◽  
Vol 01 ◽  
pp. 285-290
Author(s):  
CHANG-YOUNG EE
Keyword(s):  
Black Hole ◽  
Simons Theory ◽  
Coordinate Systems ◽  
Btz Black Hole ◽  
First Order ◽  
Rectangular Coordinates ◽  
Chern Simons ◽  
Black Hole Solutions ◽  
Chern Simons Theory

We consider noncommutative BTZ black hole solutions in two different coordinate systems, the polar and rectangular coordinates. The analysis is carried out by obtaining noncommutative solutions of U(1, 1) × U(1, 1) Chern-Simons theory on AdS3 in the two coordinate systems via the Seiberg-Witten map. This is based on the noncommutative extension of the equivalence between the classical BTZ solution and the solution of ordinary SU(1, 1) × SU(1, 1) Chern-Simons theory on AdS3. The obtained solutions in these noncommutative coordinate systems become different in the first order of the noncommutativity parameter θ.

scholarly journals Remarks on Renormalization of Black Hole Entropy

1997 ◽  
Vol 12 (29) ◽  
pp. 5223-5234 ◽  
Author(s):  
Sang Pyo Kim ◽  
Sung Ku Kim ◽  
Kwang-Sup Soh ◽  
Jae Hyung Yee
Keyword(s):  
Black Hole ◽  
Regularization Method ◽  
Black Hole Entropy ◽  
Extremal Black Hole ◽  
Dirac Distribution ◽  
Bose Einstein ◽  
Renormalization Constants ◽  
Villars Regularization

We elaborate the renormalization process of entropy of a nonextremal and an extremal Reissner–Nordström black hole by using the Pauli–Villars regularization method, in which the regulator fields obey either the Bose–Einstein or Fermi–Dirac distribution depending on their spin-statistics. The black hole entropy involves only two renormalization constants. We also discuss the entropy and temperature of the extremal black hole.

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