When conceptual worlds collide: The generalized uncertainty principle and the Bekenstein-Hawking entropy
- School of Mathematics, Statistics and Computer Science, Victoria University of Wellington, P.O. Box 600, Wellington (New Zealand)
- Departament d'Estructura i Constituents de la Materia and CER for Astrophysics, Particle Physics and Cosmology, Universitat de Barcelona, Avinguda Diagonal 647 E-08028, Barcelona (Spain)
Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking (black hole) entropy. In particular, many researchers have expressed a vested interest in fixing the coefficient of the subleading logarithmic term. In the current paper, we are able to make some degree of progress in this direction by utilizing the generalized uncertainty principle (GUP). Notably, the GUP reduces to the conventional Heisenberg relation in situations of weak gravity but transcends it when gravitational effects can no longer be ignored. Ultimately, we formulate the quantum-corrected entropy in terms of an expansion that is consistent with all previous findings. Moreover, we demonstrate that the logarithmic prefactor (indeed, any coefficient of the expansion) can be expressed in terms of a single parameter that should be determinable via the fundamental theory.
- OSTI ID:
- 20698259
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 70, Issue 12; Other Information: DOI: 10.1103/PhysRevD.70.124021; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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