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marcus

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http://arxiv.org/abs/gr-qc/0703144

**Dynamical coherent states and physical solutions of quantum cosmological bounces**

Martin Bojowald

30 pages, 3 figures

IGPG-07/3-5, NSF-KITP-07-55

"A new model is studied which describes the quantum behavior of transitions through an isotropic quantum cosmological bounce in loop quantum cosmology sourced by a free and massless scalar field. As an exactly solvable model even at the quantum level, it illustrates properties of dynamical coherent states and provides the basis for a systematic perturbation theory of loop quantum gravity. The detailed analysis is remarkably different from what is known for harmonic oscillator coherent states. Results are evaluated with regard to their implications in cosmology, including a demonstration that in general quantum fluctuations before and after the bounce are unrelated. Thus, even within this solvable model the condition of classicality at late times does not imply classicality at early times before the bounce without further assumptions. Nevertheless, the quantum state does evolve deterministically through the bounce."

I'm going to try to say what i think is going on with this paper and some related ones i have in mind. If anyone wants to volunteer, I'd be glad of any help reading this one of Bojowald. Busy now but may be able to get started this evening or tomorrow.