Generalized uncertainty principle, modified dispersion relation and Reissner–Nordström black hole tunneling radiation

2010 ◽  
Vol 374 (30) ◽  
pp. 3012-3015 ◽  
Author(s):  
M. Dehghani
Keyword(s):  
Black Hole ◽  
Dispersion Relation ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Tunneling Radiation ◽  
Modified Dispersion Relation ◽  
Black Hole Tunneling

Generalized uncertainty principle and tunneling radiation of the SAdS 5 black hole

2010 ◽  
Vol 19 (1) ◽  
pp. 010402-5 ◽  
Author(s):  
Zhao Ren ◽  
Zhang Li-Chun ◽  
Wu Yue-Qin ◽  
Li Huai-Fan
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Tunneling Radiation

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.

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