Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-06-21
Int.J.Mod.Phys. D13 (2004) 2337-2343
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, LaTex; this essay received an "honorable mention" in the 2004 Essay Competition of the Gravity Research Foundation; s
Scientific paper
10.1142/S0218271804006413
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.
Amelino-Camelia Giovanni
Arzano Michele
Procaccini Andrea
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