Here are some papers on the covariant entropy bound conjectured by Raphael Bousso(adsbygoogle = window.adsbygoogle || []).push({});

http://arxiv.org/abs/hep-th/9905177

http://arxiv.org/abs/hep-th/9908070

http://arxiv.org/abs/hep-th/0305149

It would be a significant development if the conjectured bound could be proven to hold in LQC.

It looks like Ashtekar et al have done this or are able to do it, with a bit more work. This was just posted:

http://arxiv.org/abs/0805.3511

The covariant entropy bound and loop quantum cosmology

Abhay Ashtekar, Edward Wilson-Ewing

15 pages, 3 figures

(Submitted on 22 May 2008)

"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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# Ashtekar: deriving the covariant entropy bound from LQC

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