The covariant entropy bound and loop quantum cosmology

Details The covariant entropy bound and loop quantum cosmology The covariant entropy bound and loop quantum cosmology

2008-05-22

arxiv.org/abs/0805.3511v2

Phys.Rev.D78:064047,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 3 figures. Minor typos corrected and one reference added

Scientific paper

10.1103/PhysRevD.78.064047

We examine Bousso's covariant entropy bound conjecture in the context of radiation filled, spatially flat, Friedmann-Robertson-Walker models. The bound is violated near the big bang. However, the hope has been that quantum gravity effects would intervene and protect it. Loop quantum cosmology provides a near ideal setting for investigating this issue. For, on the one hand, quantum geometry effects resolve the singularity and, on the other hand, the wave function is sharply peaked at a quantum corrected but smooth geometry which can supply the structure needed to test the bound. We find that the bound is respected. We suggest that the bound need not be an essential ingredient for a quantum gravity theory but may emerge from it under suitable circumstances.

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