ABOUT THE GENERALIZED UNCERTAINTY PRINCIPLE

2004 ◽  
Vol 19 (23) ◽  
pp. 1767-1779 ◽  
Author(s):  
LI XIANG ◽  
YOU-GEN SHEN
Keyword(s):  
Black Holes ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Heuristic Method ◽  
Black Body ◽  
Black Body Radiation ◽  
State Equations ◽  
Black Hole Radiation ◽  
Logarithmic Corrections ◽  
Thermodynamics Of Black Holes

Some consequences of the generalized uncertainty principle (GUP) are investigated, including the deformations of the Wein's law and the state equations of black body radiation. The effects of the GUP on the thermodynamics of black holes are investigated by a heuristic method. A bound on the luminosity of the black hole radiation is obtained. The logarithmic corrections to the Bekenstein–Hawking entropy are obtained in three cases. The potential relation between the GUP and the holographic principle is also briefly discussed.

scholarly journals UNIVERSAL ENTROPY BOUND AND DISCRETE SPACETIME

2011 ◽  
Vol 26 (28) ◽  
pp. 2101-2108 ◽  
Author(s):  
YUNQI XU ◽  
BO-QIANG MA
Keyword(s):  
Information Theory ◽  
Black Holes ◽  
Uncertainty Principle ◽  
Black Body ◽  
Black Body Radiation ◽  
Discrete Spacetime ◽  
Spacetime Structure ◽  
Entropy Bound ◽  
Entropy Bounds

Starting from the universal entropy bounds suggested by Bekenstein and Susskind and applying them to the black-body radiation situation, we get a cut-off of space Δx ≥χl P with χ≥0.1. We go further to get a cutoff of time Δt ≥χl P /c, thus, the discrete spacetime structure is obtained. With the discrete spacetime, we can explain the uncertainty principle. Based on the hypothesis of information theory and the entropy of black holes, we get the precise value of the parameter χ and demonstrate the reason why the entropy bounds hold.

scholarly journals Ten shades of black

2015 ◽  
Vol 24 (12) ◽  
pp. 1544007 ◽  
Author(s):  
Shahar Hod
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Radiation Spectrum ◽  
Black Hole Physics ◽  
Black Body ◽  
Black Hole Radiation ◽  
Dimensional Spacetime ◽  
Opposite Behavior ◽  
Curvature Potential ◽  
Energy Dependent

The holographic principle has taught us that, as far as their entropy content is concerned, black holes in (3 + 1)-dimensional curved spacetimes behave as ordinary thermodynamic systems in flat (2 + 1)-dimensional spacetimes. In this paper, we point out that the opposite behavior can also be observed in black-hole physics. To show this we study the quantum Hawking evaporation of near-extremal Reissner–Nordström (RN) black holes. We first point out that the black-hole radiation spectrum departs from the familiar radiation spectrum of genuine (3 + 1)-dimensional perfect black-body emitters. In particular, the would be black-body thermal spectrum is distorted by the curvature potential which surrounds the black-hole and effectively blocks the emission of low-energy quanta. Taking into account the energy-dependent gray-body factors which quantify the imprint of passage of the emitted radiation quanta through the black-hole curvature potential, we reveal that the (3 + 1)-dimensional black holes effectively behave as perfect black-body emitters in a flat (9 + 1)-dimensional spacetime.

Hawking radiation of charged fermions from accelerating and rotating black holes with generalized uncertainty principle

2019 ◽  
Vol 28 (08) ◽  
pp. 1950102
Author(s):  
Muhammad Rizwan ◽  
Khalil Ur Rehman
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Uncertainty Principle ◽  
Hawking Radiation ◽  
Generalized Uncertainty Principle ◽  
Hawking Temperature ◽  
Black Hole Evaporation ◽  
Rotating Black Holes ◽  
Gravity Effects ◽  
Made In

By considering the quantum gravity effects based on generalized uncertainty principle, we give a correction to Hawking radiation of charged fermions from accelerating and rotating black holes. Using Hamilton–Jacobi approach, we calculate the corrected tunneling probability and the Hawking temperature. The quantum corrected Hawking temperature depends on the black hole parameters as well as quantum number of emitted particles. It is also seen that a remnant is formed during the black hole evaporation. In addition, the corrected temperature is independent of an angle [Formula: see text] which contradicts the claim made in the literature.

scholarly journals Black Hole Thermodynamics and Generalized Uncertainty Principle with Higher Order Terms in Momentum Uncertainty

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Sunandan Gangopadhyay ◽  
Abhijit Dutta
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Temperature Relation ◽  
Standard Case ◽  
Logarithmic Corrections ◽  
Higher Order Terms ◽  
Radiation Rate ◽  
Correction Terms ◽  
Boltzmann Law

We study the modification of thermodynamic properties of Schwarzschild and Reissner-Nordström black hole in the framework of generalized uncertainty principle with correction terms up to fourth order in momentum uncertainty. The mass-temperature relation and the heat capacity for these black holes have been investigated. These have been used to obtain the critical and remnant masses. The entropy expression using this generalized uncertainty principle reveals the area law up to leading order logarithmic corrections and subleading corrections of the form 1/An. The mass output and radiation rate using Stefan-Boltzmann law have been computed which show deviations from the standard case and the case with the simplest form for the generalized uncertainty principle.

scholarly journals The entropy of an acoustic black hole in neo-Newtonian theory

2018 ◽  
Vol 33 (32) ◽  
pp. 1850185 ◽  
Author(s):  
M. A. Anacleto ◽  
Ines G. Salako ◽  
F. A. Brito ◽  
E. Passos
Keyword(s):  
Black Hole ◽  
Statistical Method ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
State Density ◽  
Statistical Entropy ◽  
Newtonian Theory ◽  
Logarithmic Corrections ◽  
Quantum Statistical ◽  
Correction Terms

In this paper, we consider the metric of a (2[Formula: see text]+[Formula: see text]1)-dimensional rotating acoustic black hole in the neo-Newtonian theory to compute the Hawking temperature, and applying the quantum statistical method, we calculate the statistical entropy using a corrected state density due to the generalized uncertainty principle (GUP). In our calculations, we have shown that the obtained entropy is finite and correction terms are generated. Moreover, the computation of the entropy for this method does not present logarithmic corrections.

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