scholarly journals Conformal quantum mechanics in two-black-hole moduli space

2002 ◽  
Vol 66 (2) ◽  
Author(s):  
Kenji Sakamoto ◽  
Kiyoshi Shiraishi
Keyword(s):  
Black Hole ◽  
Quantum Mechanics ◽  
Moduli Space ◽  
Conformal Quantum Mechanics

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 holes and the swampland: the deep throat revelations

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Yixuan Li
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Mechanics ◽  
Phase Space ◽  
Moduli Space ◽  
Scaling Limit ◽  
Smooth Solutions ◽  
Kähler Structure ◽  
Hole Geometry ◽  
Proper Length

Abstract Multi-centered bubbling solutions are black hole microstate geometries that arise as smooth solutions of 5-dimensional $$ \mathcal{N} $$ N = 2 Supergravity. When these solutions reach the scaling limit, their resulting geometries develop an infinitely deep throat and look arbitrarily close to a black hole geometry. We depict a connection between the scaling limit in the moduli space of Microstate Geometries and the Swampland Distance Conjecture. The naive extension of the Distance Conjecture implies that the distance in moduli space between a reference point and a point approaching the scaling limit is set by the proper length of the throat as it approaches the scaling limit. Independently, we also compute a distance in the moduli space of 3-centre solutions, from the Kähler structure of its phase space using quiver quantum mechanics. We show that the two computations of the distance in moduli space do not agree and comment on the physical implications of this mismatch.

scholarly journals Conformal quantum mechanics as the CFT1 dual to AdS2

2011 ◽  
Vol 701 (4) ◽  
pp. 503-507 ◽  
Author(s):  
Claudio Chamon ◽  
Roman Jackiw ◽  
So-Young Pi ◽  
Luiz Santos
Keyword(s):  
Quantum Mechanics ◽  
Conformal Quantum Mechanics

THE UNREASONABLE EFFECTIVENESS OF EXPONENTIALLY SUPPRESSED CORRECTIONS IN PRESERVING INFORMATION

2013 ◽  
Vol 22 (12) ◽  
pp. 1342030 ◽  
Author(s):  
KYRIAKOS PAPADODIMAS ◽  
SUVRAT RAJU
Keyword(s):  
Hilbert Space ◽  
Black Hole ◽  
Quantum Mechanics ◽  
Nonperturbative Effects ◽  
Von Neumann Entropy ◽  
Von Neumann ◽  
Information Theoretic ◽  
Black Hole Evaporation ◽  
Strong Subadditivity ◽  
Unreasonable Effectiveness

We point out that nonperturbative effects in quantum gravity are sufficient to reconcile the process of black hole evaporation with quantum mechanics. In ordinary processes, these corrections are unimportant because they are suppressed by e-S. However, they gain relevance in information-theoretic considerations because their small size is offset by the corresponding largeness of the Hilbert space. In particular, we show how such corrections can cause the von Neumann entropy of the emitted Hawking quanta to decrease after the Page time, without modifying the thermal nature of each emitted quantum. Second, we show that exponentially suppressed commutators between operators inside and outside the black hole are sufficient to resolve paradoxes associated with the strong subadditivity of entropy without any dramatic modifications of the geometry near the horizon.

scholarly journals Black hole quantum mechanics in the presence of species

2013 ◽  
Vol 61 (7-8) ◽  
pp. 768-778 ◽  
Author(s):  
G. Dvali ◽  
C. Gomez ◽  
D. Lüst
Keyword(s):  
Black Hole ◽  
Quantum Mechanics

scholarly journals Quantum mechanics of the interior of the Russo-Susskind-Thorlacius black hole

2018 ◽  
Vol 98 (12) ◽  
Author(s):  
Ramin G. Daghigh ◽  
Michael D. Green ◽  
Gabor Kunstatter
Keyword(s):  
Black Hole ◽  
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 Ontology in Quantum Mechanics

2021 ◽  
Author(s):  
Gerard ’t Hooft
Keyword(s):  
Hilbert Space ◽  
General Relativity ◽  
Black Hole ◽  
Quantum Mechanics ◽  
Evolution Equations ◽  
Black Hole Physics ◽  
Special Kind ◽  
Quantum Evolution ◽  
The Standard Model ◽  
Low Energies

It is suspected that the quantum evolution equations describing the micro-world as we know it are of a special kind that allows transformations to a special set of basis states in Hilbert space, such that, in this basis, the evolution is given by elements of the permutation group. This would restore an ontological interpretation. It is shown how, at low energies per particle degree of freedom, almost any quantum system allows for such a transformation. This contradicts Bell’s theorem, and we emphasise why some of the assumptions made by Bell to prove his theorem cannot hold for the models studied here. We speculate how an approach of this kind may become helpful in isolating the most likely version of the Standard Model, combined with General Relativity. A link is suggested with black hole physics.

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