scholarly journals The Black Hole Entropy Distance Conjecture and Black Hole Evaporation

2020 ◽  
pp. 2000130
Author(s):  
Marvin Lüben ◽  
Dieter Lüst ◽  
Ariadna Ribes Metidieri
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Black Hole Evaporation ◽  
Entropy Distance

Black Hole Entropy from Non-Commutative Geometry and Spontaneous Localisation

2019 ◽  
Author(s):  
Tejinder P. Singh ◽  
Palemkota Maithresh
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Entangled State ◽  
Schwarzschild Black Hole ◽  
Spectral Action ◽  
Black Hole Evaporation ◽  
Gravitational Action ◽  
Fluctuation Dissipation ◽  
Fluctuation Dissipation Theorem ◽  
Gravitational Entropy

In our recently proposed theory of quantum gravity, a black hole arises from the spontaneous localisation of an entangled state of a large number of atoms of space-time-matter [STM]. Prior to localisation, the non-commutative curvature of an STM atom is described by the spectral action of non-commutative geometry. By using the techniques of statistical thermodynamics from trace dynamics, we show that the gravitational entropy of a Schwarzschild black hole results from the microstates of the entangled STM atoms and is given (subject to certain assumptions) by the classical Euclidean gravitational action. This action, in turn, equals the Bekenstein-Hawking entropy (Area/$4{L_P}^2$) of the black hole. We argue that spontaneous localisation is related to black-hole evaporation through the fluctuation-dissipation theorem.

scholarly journals FROM QUBITS TO BLACK HOLES: ENTROPY, ENTANGLEMENT AND ALL THAT

2005 ◽  
Vol 14 (12) ◽  
pp. 2307-2314 ◽  
Author(s):  
DANIEL R. TERNO
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Loop Quantum Gravity ◽  
Black Hole Entropy ◽  
Logarithmic Correction ◽  
Evaporation Process ◽  
Spin Networks ◽  
Black Hole Evaporation ◽  
Single Qubit

Entropy plays a crucial role in the characterization of information and entanglement, but it is not a scalar quantity and for many systems it is different for different relativistic observers. We discuss two examples: entropy of a single qubit and renormalized entropy as given by a uniformly accelerated observer. Loop quantum gravity predicts the Bekenstein–Hawking term for black hole entropy and the logarithmic correction to it. The latter originates in the entanglement between the pieces of spin networks that describe black hole horizon. Entanglement between gravity and matter may restore the unitarity in the black hole evaporation process. If the collapsing matter is assumed to be initially in a pure state, then entropy of the Hawking radiation is exactly the created entanglement between matter and gravity.

scholarly journals Thermodynamics of a Black Hole

2015 ◽  
Vol 48 ◽  
pp. 123-137
Author(s):  
K.A.I.L. Wijewardena Gamalath ◽  
N.S. Rajapakse
Keyword(s):  
Black Hole ◽  
Visible Region ◽  
Black Hole Entropy ◽  
Mass Variation ◽  
Schwarzschild Black Hole ◽  
Black Hole Evaporation ◽  
Time Variations ◽  
The Given ◽  
The Universe ◽  
Over Time

A simple model was setup to find the mass variation over time for a Schwarzschild black hole. The temperature and entropy of a black hole was obtained from the numerically solved mass variation and the time variations of the black hole thermodynamic parameters were simulated. The mass of a given black hole reduces rapidly. The time taken for a black hole to vanish increases in an increasing rate with the given initial mass of the black hole. The temperature of a black hole drastically increases at the final stage of the black hole evaporation. The colour attributed to that temperature was found to be in the visible region for a significant amount of time. The black hole entropy also drastically reduces with its mass and through Hawking radiation it is added to the rest of the universe.

scholarly journals BLACK HOLE THERMODYNAMICS FROM THE POINT OF VIEW OF SUPERSTRING THEORY

2000 ◽  
Vol 15 (01) ◽  
pp. 1-44 ◽  
Author(s):  
E. T. AKHMEDOV
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
String Theory ◽  
Recent Progress ◽  
Black Hole Entropy ◽  
Black Hole Thermodynamics ◽  
Point Of View ◽  
Superstring Theory ◽  
Black Hole Evaporation ◽  
Statistical Explanation

In this review we try to give a pedagogical introduction to the recent progress in the resolution of old problems of black hole thermodynamics within superstring theory. We start with a brief description of classical black hole dynamics. Then, follow with the consideration of general properties of supersymmetric black holes. We conclude with the review of the statistical explanation of the black hole entropy and string theory description of the black hole evaporation.

scholarly journals A new mass scale, implications on black hole evaporation and holography

2016 ◽  
Vol 31 (16) ◽  
pp. 1650089 ◽  
Author(s):  
Piyabut burikham ◽  
Rujikorn Dhanawittayapol ◽  
Taum Wuthicharn
Keyword(s):  
Black Hole ◽  
Surface Area ◽  
Physical Interpretation ◽  
Mass Formula ◽  
Uncertainty Relation ◽  
Black Hole Entropy ◽  
Mass Scale ◽  
Minimum Length ◽  
Black Hole Evaporation ◽  
The Universe

We consider a new mass scale [Formula: see text] constructed from dimensional analysis by using [Formula: see text], [Formula: see text] and [Formula: see text] and discuss its physical interpretation. Based on the Generalized Uncertainty Relation, a black hole with age comparable to the universe would stop radiating when the mass reaches a new mass scale [Formula: see text] at which its temperature corresponds to the mass [Formula: see text]. Black hole remnants could have masses ranging from a Planck mass to a trillion kilograms. Holography persists even when the uncertainty relation is modified to the Minimum Length Uncertainty Relation (MLUR). The remnant black hole entropy is proportional to the surface area of the black hole in unit of the Planck area in arbitrary noncompact dimensions.

scholarly journals Reply to Pessoa, P.; Arderucio Costa, B., Comment on “Tsallis, C. Black Hole Entropy: A Closer Look. Entropy 2020, 22, 17”

Entropy ◽  
2021 ◽  
Vol 23 (5) ◽  
pp. 630
Author(s):  
Constantino Tsallis
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Recent Comment

In the present Reply we restrict our focus only onto the main erroneous claims by Pessoa and Costa in their recent Comment (Entropy 2020, 22, 1110).

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.

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