scholarly journals Area Entropy and Quantized Mass of Black Holes from Information Theory

Entropy ◽  
2021 ◽  
Vol 23 (7) ◽  
pp. 858
Author(s):  
Dongshan He ◽  
Qingyu Cai
Keyword(s):  
Information Theory ◽  
Black Hole ◽  
Black Hole Entropy ◽  
Quantum Corrections ◽  
Compton Wavelength ◽  
Information Theoretic ◽  
Curved Space ◽  
Thermodynamic Entropy ◽  
Hole Area ◽  
The Relationship

In this paper, we present a derivation of the black hole area entropy with the relationship between entropy and information. The curved space of a black hole allows objects to be imaged in the same way as camera lenses. The maximal information that a black hole can gain is limited by both the Compton wavelength of the object and the diameter of the black hole. When an object falls into a black hole, its information disappears due to the no-hair theorem, and the entropy of the black hole increases correspondingly. The area entropy of a black hole can thus be obtained, which indicates that the Bekenstein–Hawking entropy is information entropy rather than thermodynamic entropy. The quantum corrections of black hole entropy are also obtained according to the limit of Compton wavelength of the captured particles, which makes the mass of a black hole naturally quantized. Our work provides an information-theoretic perspective for understanding the nature of black hole entropy.

scholarly journals NONCRITICAL BOSONIC STRING CORRECTIONS TO THE BLACK HOLE ENTROPY

1995 ◽  
Vol 10 (17) ◽  
pp. 1187-1193 ◽  
Author(s):  
E. ELIZALDE ◽  
S.D. ODINTSOV
Keyword(s):  
Field Theory ◽  
Black Hole ◽  
Black Hole Entropy ◽  
Bosonic String ◽  
Quantum Corrections ◽  
Modular Invariance ◽  
Large Black Hole ◽  
String Corrections

We calculate the quantum corrections to the entropy of a very large black hole, coming from the theory of a D-dimensional, noncritical bosonic string. We show that for D>2, as a result of modular invariance the entropy is uv finite though it diverges in the ir (while for D=2 the entropy contains both uv and ir divergences). The issue of modular invariance in field theory, in connection with black hole entropy, is also investigated.

scholarly journals Quantum gravity: Physics from supergeometries

2014 ◽  
Vol 11 (08) ◽  
pp. 1450067 ◽  
Author(s):  
Diego Julio Cirilo-Lombardo ◽  
Thiago Prudêncio
Keyword(s):  
Black Hole ◽  
Coherent State ◽  
Line Element ◽  
Black Hole Entropy ◽  
Quantum Structure ◽  
Geometrical Object ◽  
Large N ◽  
General Basis ◽  
The Relationship ◽  
Classical Radiation

We show that the metric (line element) is the first geometrical object to be associated to a discrete (quantum) structure of the spacetime without necessity of black hole-entropy-area arguments, in sharp contrast with other attempts in the literature. To this end, an emergent metric solution obtained previously in [ Phys. Lett. B661 (2008) 186–191] from a particular non-degenerate Riemannian superspace is introduced. This emergent metric is described by a physical coherent state belonging to the metaplectic group Mp (n) with a Poissonian distribution at lower n (number basis) restoring the classical thermal continuum behavior at large n(n → ∞), or leading to non-classical radiation states, as is conjectured in a quite general basis by means of the Bekenstein–Mukhanov effect. Group-dependent conditions that control the behavior of the macroscopic regime spectrum (thermal or not), as the relationship with the problem of area/entropy of the black hole are presented and discussed.

scholarly journals Black hole entropy, curved space and monsters

2008 ◽  
Vol 658 (5) ◽  
pp. 244-248 ◽  
Author(s):  
Stephen D.H. Hsu ◽  
David Reeb
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Curved Space

The Information Theoretic Perspective on Context Aware Network Design

2012 ◽  
Vol 433-440 ◽  
pp. 5073-5077
Author(s):  
Jing Yao Wang ◽  
Meng Jia Li ◽  
Mei Song ◽  
Ying Hai Zhang
Keyword(s):  
Information Theory ◽  
Network Design ◽  
Information Entropy ◽  
Communication Systems ◽  
Network Performance ◽  
Theoretical Framework ◽  
Context Aware ◽  
Information Theoretic ◽  
The Future ◽  
The Relationship

Information theory has made great impact on the research of communication systems. However, analyze and design of networks has not benefited too much from information theory. Therefore, in this paper, we propose the information-theoretical framework of context aware network to explore the relationship between the information and the network performance. We also analyze the information traffic process in context aware network. To illustrate our approach, we analyze the architecture of context aware network by the information entropy produced in the network, and discuss the way to improve the performance of context aware in an information-theoretic perspective. The results in this paper may be also used to design other network and guide the future network design.

scholarly journals Where are the degrees of freedom responsible for black-hole entropy?

2008 ◽  
Vol 86 (4) ◽  
pp. 653-658 ◽  
Author(s):  
S Das ◽  
S Shankaranarayanan ◽  
S Sur
Keyword(s):  
Black Hole ◽  
Excited State ◽  
Power Law ◽  
Ground State ◽  
Degrees Of Freedom ◽  
Black Hole Entropy ◽  
Quantum Field ◽  
Hole Area ◽  
Area Law ◽  
03.65 Ud

Considering the entanglement between quantum field degrees of freedom inside and outside the horizon as a plausible source of black-hole entropy, we address the question: where are the degrees of freedom that give rise to this entropy located? When the field is in ground state, the black-hole area law is obeyed and the degrees of freedom near the horizon contribute most to the entropy. However, for excited state, or a superposition of ground state and excited state, power-law corrections to the area law are obtained, and more significant contributions from the degrees of freedom far from the horizon are shown.PACS Nos.: 04.60.–m, 04.62., 04.70.–s, 03.65.Ud

scholarly journals Does spacetime inherently has von Neumann entropy?

2020 ◽  
Author(s):  
William Icefield
Keyword(s):  
Black Hole ◽  
Quantum Theory ◽  
Black Hole Entropy ◽  
Black Hole Thermodynamics ◽  
Von Neumann Entropy ◽  
Considerable Difficulty ◽  
Von Neumann ◽  
Thermodynamic Entropy

There has been considerable difficulty in equating thermodynamic entropy, suggested in classical and black hole thermodynamics, with von Neumann entropy. Successful derivations of black hole entropy from purely classical origins and recent doubts as to whether we can really equate von Neumann entropy with thermodynamic entropy open up the possibility that spacetime inherently encodes entropy. In this understanding, any quantum theory defined on some spacetime or worldsheet inherently calls for another quantum theory that explains entropy encoded by spacetime.

Leading order of quantum corrections to black hole entropy sum relations

2019 ◽  
Vol 34 (32) ◽  
pp. 1950216
Author(s):  
Tairan Liang ◽  
Wei Xu
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Physics ◽  
Black Hole Entropy ◽  
Flat Space ◽  
Quantum Corrections ◽  
Leading Order ◽  
Physics Of Black Holes ◽  
Mass Dependent ◽  
Modified Entropy

It has been found recently that the entropy relations of horizons have the universality of black hole mass-independence for many black holes. These universal entropy relations have some geometric and CFT understanding, which may provide further insight into the quantum physics of black holes. In this paper, we present the leading order of black hole entropy sum relations under the quantum corrections. It is found that the modified entropy sum becomes mass-dependent for some black holes in asymptotical (A)dS and flat space–times. We also give an example that the modified entropy sum of regular Bardeen AdS black holes is mass-independent, which may be quantized in the form of the electric charge and the cosmological constant.

scholarly journals MONSTERS, BLACK HOLES AND THE STATISTICAL MECHANICS OF GRAVITY

2009 ◽  
Vol 24 (24) ◽  
pp. 1875-1887 ◽  
Author(s):  
STEPHEN D. H. HSU ◽  
DAVID REEB
Keyword(s):  
Black Hole ◽  
Statistical Mechanics ◽  
Black Hole Entropy ◽  
Flat Space ◽  
Equal Mass ◽  
Effective Field ◽  
Curved Space ◽  
Recent Developments ◽  
Proper Volume ◽  
Theory Framework

We review the construction of monsters in classical general relativity. Monsters have finite ADM mass and surface area, but potentially unbounded entropy. From the curved space perspective, they are objects with large proper volume that can be glued on to an asymptotically flat space. At no point is the curvature or energy density required to be large in Planck units, and quantum gravitational effects are, in the conventional effective field theory framework, small everywhere. Since they can have more entropy than a black hole of equal mass, monsters are problematic for certain interpretations of black hole entropy and the AdS/CFT duality. In the second part of the paper we review recent developments in the foundations of statistical mechanics which make use of properties of high-dimensional (Hilbert) spaces. These results primarily depend on kinematics — essentially, the geometry of Hilbert space — and are relatively insensitive to dynamics. We discuss how this approach might be adopted as a basis for the statistical mechanics of gravity. Interestingly, monsters and other highly entropic configurations play an important role.

BLACK HOLE ENTROPY IN STRING THEORY: GOING BEYOND BEKENSTEIN AND HAWKING

2006 ◽  
Vol 15 (10) ◽  
pp. 1561-1572 ◽  
Author(s):  
ATISH DABHOLKAR
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
String Theory ◽  
Recent Progress ◽  
Black Hole Entropy ◽  
Quantum Corrections ◽  
Corrected Entropy

In this talk I summarize some recent progress in string theory in understanding the entropy of a class of black holes including corrections to the Bekenstein–Hawking formula. The quantum corrected entropy is in precise numerical agreement with the logarithm of the number of microstates once quantum corrections are correctly taken into account.

THE QUANTUM CORRECTIONS TO THE ENTROPY OF ROTATING U(1) ⊗ U(1)-DILATON BLACK HOLES

1999 ◽  
Vol 14 (04) ◽  
pp. 239-246 ◽  
Author(s):  
YOU-GEN SHEN ◽  
DA-MING CHEN
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Black Hole Entropy ◽  
Quantum Corrections ◽  
Brick Wall ◽  
Wall Model ◽  
Brick Wall Model ◽  
Dilaton Black Hole ◽  
Massless Quantum ◽  
Dilaton Black Holes

By using 't Hooft's brick wall model, the corrections for a massless quantum scalar field to the black hole entropy are studied in rotating U (1) ⊗ U (1)-dilaton black hole space–time. The free energy and entropy for this case are calculated, and in Hartle–Hawking states, the derived quantum entropy is composed of the geometric part and the non-geometric part which is logrithmically divergent. It turns out that the logrithmic part is related to the characteristic quantities of a black hole.

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