scholarly journals Generalized uncertainty principle and black hole entropy

2006 ◽  
Vol 641 (2) ◽  
pp. 208-211 ◽  
Author(s):  
Zhao Ren ◽  
Zhang Sheng-Li
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Black Hole Entropy

scholarly journals CURVATURE, PHASE SPACE, HOLOGRAPHY AND BLACK HOLE ENTROPY

2009 ◽  
Vol 18 (14) ◽  
pp. 2167-2171 ◽  
Author(s):  
C. SIVARAM ◽  
KENATH ARUN
Keyword(s):  
Black Hole ◽  
Phase Space ◽  
Surface Area ◽  
Uncertainty Principle ◽  
Hawking Radiation ◽  
Generalized Uncertainty Principle ◽  
Black Hole Entropy ◽  
Black Hole Masses ◽  
Interior Volume

This paper discusses the thermodynamics of a black hole with respect to Hawking radiation and the entropy. We look at a unified picture of black hole entropy and curvature and how this can lead to the usual black hole luminosity due to Hawking radiation. It is also shown how the volume inside the horizon, apart from the surface area (hologram!), can play a role in understanding the Hawking flux. In addition, holography implies a phase space associated with the interior volume and this happens to be just a quantum of phase space, filled with just one photon. The generalized uncertainty principle can be incorporated in this analysis. These results hold for all black hole masses in any dimension.

scholarly journals Corrections to entropy and thermodynamics of charged black hole using generalized uncertainty principle

2015 ◽  
Vol 30 (09) ◽  
pp. 1550030 ◽  
Author(s):  
Abdel Nasser Tawfik ◽  
Eiman Abou El Dahab
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Black Hole Entropy ◽  
Quantum Corrections ◽  
Two Dimensional ◽  
Sectional Area ◽  
Logarithmic Divergence ◽  
Cross Sectional ◽  
The Impact

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein–Hawking (black hole) entropy, which relates the entropy to the cross-sectional area of the black hole horizon. Using generalized uncertainty principle (GUP), corrections to the geometric entropy and thermodynamics of black hole will be introduced. The impact of GUP on the entropy near the horizon of three types of black holes: Schwarzschild, Garfinkle–Horowitz–Strominger and Reissner–Nordström is determined. It is found that the logarithmic divergence in the entropy-area relation turns to be positive. The entropy S, which is assumed to be related to horizon's two-dimensional area, gets an additional terms, for instance [Formula: see text], where α is the GUP parameter.

scholarly journals A GLIMPSE AT THE FLAT-SPACETIME LIMIT OF QUANTUM GRAVITY USING THE BEKENSTEIN ARGUMENT IN REVERSE

2004 ◽  
Vol 13 (10) ◽  
pp. 2337-2343 ◽  
Author(s):  
GIOVANNI AMELINO-CAMELIA ◽  
ANDREA PROCACCINI ◽  
MICHELE ARZANO
Keyword(s):  
Black Hole ◽  
Dispersion Relation ◽  
String Theory ◽  
Quantum Gravity ◽  
Uncertainty Principle ◽  
Loop Quantum Gravity ◽  
Generalized Uncertainty Principle ◽  
Black Hole Entropy ◽  
Flat Spacetime ◽  
Classical Black Holes

An insightful argument for a linear relation between the entropy and the area of a black hole was given by Bekenstein using only the energy–momentum dispersion relation, the uncertainty principle, and some properties of classical black holes. Recent analyses within String Theory and Loop Quantum Gravity describe black-hole entropy in terms of a dominant contribution, which indeed depends linearly on the area, and a leading log-area correction. We argue that, by reversing the Bekenstein argument, the log-area correction can provide insight on the energy–momentum dispersion relation and the uncertainty principle of a quantum-gravity theory. As examples, we consider the energy–momentum dispersion relations that recently emerged in the Loop Quantum Gravity literature and the Generalized Uncertainty Principle that is expected to hold in String Theory.

Sign in / Sign up

Export Citation Format

Share Document