A glimpse at the flat-spacetime limit of quantum gravity using the bekenstein argument in reverse

被引:41
作者
Amelino-Camelia, G
Procaccini, A
Arzano, M
机构
[1] Univ Roma La Sapienza, Dipartimento Fis, Rome, Italy
[2] Ist Nazl Fis Nucl, Sez Roma 1, Rome, Italy
[3] Univ N Carolina, Dept Phys & Astron, Chapel Hill, NC 27599 USA
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS D | 2004年 / 13卷 / 10期
关键词
relativity; quantum gravity; black holes;
D O I
10.1142/S0218271804006413
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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.
引用
收藏
页码:2337 / 2343
页数:7
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