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A SPINOR MODEL FOR QUANTUM COSMOLOGY
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Date
1994-03-31
Author
DERELI, T
ONDER, M
TUCKER, RW
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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.
Subject Keywords
String theory
,
Black holes
URI
https://hdl.handle.net/11511/66203
Journal
PHYSICS LETTERS B
DOI
https://doi.org/10.1016/0370-2693(94)90399-9
Collections
Department of Mathematics, Article
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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.