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.

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Journal Article
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Physics Letters B
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07 Aug 2015 13:12
Last Modified:
22 Nov 2022 02:06