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A Spinor Model for Quantum Cosmology
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.Comment: 17p, Lanc-Th-G940
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