Newton's constant from a minimal length: Additional models

Details Newton's constant from a minimal length: Additional models Newton's constant from a minimal length: Additional models

2010-10-13

arxiv.org/abs/1010.2650v2

Class.Quant.Grav.28:015006,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, no figures. v2: removed various typos

Scientific paper

10.1088/0264-9381/28/1/015006

We follow arguments of Verlinde and Klinkhamer, 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 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 seem to be generic in all their qualitative aspects.

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