A SPINOR MODEL FOR QUANTUM COSMOLOGY


Creative Commons License

DERELI T., ONDER M., TUCKER R.

PHYSICS LETTERS B, vol.324, no.2, pp.134-140, 1994 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 324 Issue: 2
  • Publication Date: 1994
  • Doi Number: 10.1016/0370-2693(94)90399-9
  • Title of Journal : PHYSICS LETTERS B
  • Page Numbers: pp.134-140

Abstract

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.