Newton's constant from a minimal length: additional models

Author: Sahlmann Hanno  

Publisher: IOP Publishing

ISSN: 0264-9381

Source: Classical and Quantum Gravity, Vol.28, Iss.1, 2011-01, pp. : 15006-15011

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Abstract

We follow arguments of Verlinde (2010 arXiv:1001.0785 [hep-th]) and Klinkhamer (2010 arXiv:1006.2094 [hep-th]), and construct two models of the microscopic theory of a holographic screen that allow for the thermodynamical derivation of Newton's law, with Newton's constant expressed in terms of a minimal length scale l contained in the area spectrum of the microscopic theory. One of the models is loosely related to the quantum structure of surfaces and isolated horizons in loop quantum gravity. Our investigation shows that the conclusions reached by Klinkhamer regarding the new length scale l seem to be generic in all their qualitative aspects.