Quantum cosmology and geometric quantization.

Details Quantum cosmology and geometric quantization. Quantum cosmology and geometric quantization.

Apr 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13..301i&link_type=abstract

General Relativity and Gravitation, Volume 13, Issue 4, pp.301-306

Mathematics

Logic

6

Cosmological Models

Scientific paper

The Kostant-Souriau method of geometric quantization is applied to homogeneous and isotropic cosmological models with positive intrinsic curvature and a massless Klein-Gordon scalar field. These models are studied because classically they collapse to a singularity. It is rigorously shown that the quantized models collapse as well (so that there is no “quantum bounce”). This work demonstrates the practical usefulness of geometric quantization for the study of physical systems.

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