A spinor model for quantum cosmology

Dereli, Tekin and Önder, M. and Tucker, Robin (1994) A spinor model for quantum cosmology. Physics Letters B, 324 (2). pp. 134-140. ISSN 0370-2693

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The question of the interpretation of Wheeler-DeWitt solutions in the context of cosmological models is addressed by implementing the Hamiltonian constraint as a spinor wave equation in minisuperspace. We offer a relative probability interpretation based on a non-closed vector current in this space and a prescription for a parametrisation of classical solutions in terms of classical time. Such a prescription can accommodate classically degenerate metrics describing manifolds with signature change. The relative probability density, defined in terms of a Killing vector of the DeWitt metric on minisuperspace, should permit one to identify classical loci corresponding to geometries for a classical manifold. This interpretation is illustrated in the context of a quantum cosmology model for two-dimensional dilaton gravity.

Item Type: Journal Article
Journal or Publication Title: Physics Letters B
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/3100/3106
Departments: Faculty of Science and Technology > Physics
ID Code: 75071
Deposited By: ep_importer_pure
Deposited On: 07 Aug 2015 13:12
Refereed?: Yes
Published?: Published
Last Modified: 01 Jan 2020 09:19
URI: https://eprints.lancs.ac.uk/id/eprint/75071

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