scholarly journals Black hole thermodynamics from near-horizon conformal quantum mechanics

2005 ◽  
Vol 71 (10) ◽  
Author(s):  
Horacio E. Camblong ◽  
Carlos R. Ordóñez
Keyword(s):  
Black Hole ◽  
Quantum Mechanics ◽  
Black Hole Thermodynamics ◽  
Conformal Quantum Mechanics

scholarly journals Prospecting black hole thermodynamics with fractional quantum mechanics

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
S. Jalalzadeh ◽  
F. Rodrigues da Silva ◽  
P. V. Moniz
Keyword(s):  
Black Hole ◽  
Quantum Mechanics ◽  
Main Tool ◽  
Acta Math ◽  
Black Hole Thermodynamics ◽  
Point Of View ◽  
Black Hole Mass ◽  
Fractional Quantum ◽  
C 73 ◽  
Fractional Parameter

AbstractThis paper investigates whether the framework of fractional quantum mechanics can broaden our perspective of black hole thermodynamics. Concretely, we employ a space-fractional derivative (Riesz in Acta Math 81:1, 1949) as our main tool. Moreover, we restrict our analysis to the case of a Schwarzschild configuration. From a subsequently modified Wheeler–DeWitt equation, we retrieve the corresponding expressions for specific observables. Namely, the black hole mass spectrum, M, its temperature T, and entropy, S. We find that these bear consequential alterations conveyed through a fractional parameter, $$\alpha $$ α . In particular, the standard results are recovered in the specific limit $$\alpha =2$$ α = 2 . Furthermore, we elaborate how generalizations of the entropy-area relation suggested by Tsallis and Cirto (Eur Phys J C 73:2487, 2013) and Barrow (Phys Lett B 808:135643, 2020) acquire a complementary interpretation in terms of a fractional point of view. A thorough discussion of our results is presented.

scholarly journals Acceleration radiation of an atom freely falling into a Kerr black hole and near-horizon conformal quantum mechanics

2021 ◽  
Vol 104 (6) ◽  
Author(s):  
A. Azizi ◽  
H. E. Camblong ◽  
A. Chakraborty ◽  
C. R. Ordóñez ◽  
M. O. Scully
Keyword(s):  
Black Hole ◽  
Quantum Mechanics ◽  
Kerr Black Hole ◽  
Conformal Quantum Mechanics

scholarly journals NEAR EXTREMAL BLACK HOLE ENTROPY AS ENTANGLEMENT ENTROPY VIA AdS2/CFT1

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2229-2230
Author(s):  
TATSUO AZEYANAGI
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Mechanics ◽  
Entanglement Entropy ◽  
Black Hole Entropy ◽  
Extremal Black Hole ◽  
Conformal Quantum Mechanics ◽  
Extremal Black Holes

We holographically derive entropy of (near) extremal black holes as entanglement entropy of conformal quantum mechanics(CQM) living in two boundaries of AdS2.

scholarly journals BLACK HOLE THERMODYNAMICS FROM CALCULATIONS IN STRONGLY COUPLED GAUGE THEORY

2001 ◽  
Vol 16 (05) ◽  
pp. 856-865 ◽  
Author(s):  
DANIEL KABAT ◽  
GILAD LIFSCHYTZ ◽  
DAVID LOWE
Keyword(s):  
Black Hole ◽  
Quantum Mechanics ◽  
Gauge Theory ◽  
Density Matrix ◽  
Finite Temperature ◽  
Approximation Scheme ◽  
Black Hole Thermodynamics ◽  
Extremal Black Hole ◽  
Strongly Coupled ◽  
Large N

We develop an approximation scheme for the quantum mechanics of N D0-branes at finite temperature in the 't Hooft large-N limit. The entropy of the quantum mechanics calculated using this approximation agrees well with the Bekenstein-Hawking entropy of a ten-dimensional non-extremal black hole with 0-brane charge. This result is in accord with the duality conjectured by Itzhaki, Maldacena, Sonnenschein and Yankielowicz. Our approximation scheme provides a model for the density matrix which describes a black hole in the strongly-coupled quantum mechanics.

scholarly journals Holography from the first law of thermodynamics

2021 ◽  
Author(s):  
Minseong Kim
Keyword(s):  
Black Hole ◽  
Quantum Mechanics ◽  
Black Hole Thermodynamics ◽  
Many Worlds ◽  
First Law Of Thermodynamics ◽  
Entropic Gravity ◽  
Many Worlds Interpretation ◽  
The Many ◽  
Dynamic Description

This paper exploits well-known connections between quantum mechanics and thermodynamics. What happens if we assume that the first law of thermodynamics applies generally, inspired from thermodynamic and entropic gravity approaches and black hole thermodynamics? The conjecture is that quantum mechanics provides a complete dynamic description of thermodynamics that the first law of thermodynamics seems to call for, giving us a theory of holographic gravity. Some connections to the many-worlds interpretation are noted.

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