A SPINOR MODEL FOR QUANTUM COSMOLOGY

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1994-03-31
DERELI, T
ONDER, M
TUCKER, RW
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.
PHYSICS LETTERS B

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Citation Formats
T. DERELI, M. ONDER, and R. TUCKER, “A SPINOR MODEL FOR QUANTUM COSMOLOGY,” PHYSICS LETTERS B, pp. 134–140, 1994, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66203.