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Signature transitions in quantum cosmology

Dereli, Tekin and Onder, M. and Tucker, Robin (1993) Signature transitions in quantum cosmology. Classical and Quantum Gravity, 10 (8). pp. 1425-1434. ISSN 0264-9381

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Abstract

The authors exhibit a family of Hilbert subspaces describing solutions to the Wheeler-DeWitt equation. Each subspace describes a distinct quantum theory in which the parameters of the potential are required to satisfy a particular 'quantization' condition. Tentative evidence suggests that within each Hilbert subspace there exist states that may be identified with nondispersive wave packets peaking in the vicinity of submanifolds in superspace corresponding to classical cosmological eras. These submanifolds admit parameterizations corresponding to metric solutions of Einstein's equations that admit a transition between a Euclidean and a Lorentzian signature.

Item Type: Article
Journal or Publication Title: Classical and Quantum Gravity
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 75064
Deposited By: ep_importer_pure
Deposited On: 07 Aug 2015 12:26
Refereed?: Yes
Published?: Published
Last Modified: 20 Sep 2017 02:14
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/75064

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