scholarly journals Testing Holographic Principle from Logarithmic and Higher Order Corrections to Black Hole Entropy

2004 ◽  
Vol 2004 (12) ◽  
pp. 041-041 ◽  
Author(s):  
Mu-In Park
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Higher Order ◽  
Holographic Principle ◽  
Higher Order Corrections

scholarly journals TUNNELING THROUGH THE QUANTUM HORIZON

2006 ◽  
Vol 21 (01) ◽  
pp. 41-48 ◽  
Author(s):  
MICHELE ARZANO
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Scale Effects ◽  
Lorentz Invariance ◽  
Planck Scale ◽  
Black Hole Entropy ◽  
Higher Order ◽  
Surface Gravity ◽  
Planck Scale Effects

The emergence of quantum-gravity induced corrective terms for the probability of emission of a particle from a black hole in the Parikh–Wilczek tunneling framework is studied. It is shown, in particular, how corrections might arise from modifications of the surface gravity due to near horizon Planck-scale effects. Our derivation provides an example of the possible linking between Planck-scale departures from Lorentz invariance and the appearance of higher order quantum gravity corrections in the black-hole entropy-area relation.

HOW TO DETERMINE THE SIZE OF AN AREA QUANTUM WITH THE HELP OF A BLACK HOLE

2013 ◽  
Vol 22 (12) ◽  
pp. 1342005
Author(s):  
K. ROPOTENKO
Keyword(s):  
Black Hole ◽  
Angular Momentum ◽  
Diffusion Equation ◽  
Black Hole Entropy ◽  
Quantization Condition ◽  
Holographic Principle ◽  
Statistical Interpretation ◽  
Two Dimensional ◽  
Physical Element

According to the holographic principle, the concept of two-dimensional area is distinctive in our four-dimensional world. In this paper, I address the question of whether there is a smallest physical element of area. I propose two different methods for determining the size of the area quantum with the help of a black hole. At first, I find it from the quantization condition for an internal angular momentum of a black hole. Second, I infer it from a diffusion equation for a black hole. In both cases, I obtain the same value. These methods and results may have important implications for a statistical interpretation of the black hole entropy.

scholarly journals Thermodynamics of higher-order entropy corrected Schwarzschild–Beltrami–de Sitter black hole

2019 ◽  
Vol 34 (28) ◽  
pp. 1950158 ◽  
Author(s):  
B. Pourhassan ◽  
H. Farahani ◽  
S. Upadhyay
Keyword(s):  
Black Hole ◽  
Thermal Fluctuations ◽  
Higher Order ◽  
Stable Phase ◽  
De Sitter ◽  
Free Energies ◽  
Positive Cosmological Constant ◽  
Thermodynamical Properties ◽  
Corrected Entropy ◽  
Higher Order Corrections

In this paper, we consider higher-order correction of the entropy and study the thermodynamical properties of recently proposed Schwarzschild–Beltrami–de Sitter black hole, which is indeed an exact solution of Einstein equation with a positive cosmological constant. By using the corrected entropy and Hawking temperature, we extract some thermodynamical quantities like Gibbs and Helmholtz free energies and heat capacity. We also investigate the first and second laws of thermodynamics. We find that presence of higher-order corrections, which come from thermal fluctuations, may remove some instabilities of the black hole. Also unstable to stable phase transition is possible in presence of the first- and second-order corrections.

scholarly journals THE CARDY–VERLINDE EQUATION IN A SPHERICAL SYMMETRIC GRAVITATIONAL COLLAPSE

2010 ◽  
Vol 25 (30) ◽  
pp. 5529-5542
Author(s):  
G. MAIELLA ◽  
C. STORNAIOLO
Keyword(s):  
Black Hole ◽  
Gravitational Collapse ◽  
Black Hole Entropy ◽  
Holographic Principle ◽  
Verlinde Formula

The Cardy–Verlinde formula is analyzed in the contest of the gravitational collapse. Starting from the holographic principle, we show how the equations for a homogeneous and isotropic gravitational collapse describe the formation of the black hole entropy. Some comments on the role of the entangled entropy and the connection with the c-theorem are made.

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).

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