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Title:
Dynamical coherent states and physical solutions of quantum cosmological bounces
Authors:
Bojowald, Martin
Affiliation:
AA(Institute for Gravitational Physics and Geometry, The Pennsylvania State University, 104 Davey Lab, University Park, Pennsylvania 16802, USA and Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106, USA)
Publication:
Physical Review D, vol. 75, Issue 12, id. 123512 (PhRvD Homepage)
Publication Date:
06/2007
Origin:
APS
PACS Keywords:
Quantum cosmology, Semiclassical theories and applications, Loop quantum gravity, quantum geometry, spin foams
DOI:
10.1103/PhysRevD.75.123512
Bibliographic Code:
2007PhRvD..75l3512B

Abstract

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.
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