SIGNATURE TRANSITIONS IN QUANTUM COSMOLOGY

DERELI T., ONDER M., TUCKER R.

CLASSICAL AND QUANTUM GRAVITY, vol.10, no.8, pp.1425-1434, 1993 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 8
  • Publication Date: 1993
  • Doi Number: 10.1088/0264-9381/10/8/005
  • Journal Name: CLASSICAL AND QUANTUM GRAVITY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1425-1434
  • Hacettepe University Affiliated: Yes

Abstract

We exhibit a family of Hilbert subspaces describing solutions to the Wheeler-DeWitt equation. Each subspace describes a distinct quantum theory in which the parameters of the potential are required to satisfy a particular 'quantization' condition. Tentative evidence suggests that within each Hilbert subspace there exist states that may be identified with non-dispersive wave packets peaking in the vicinity of submanifolds in superspace corresponding to classical cosmological eras. These submanifolds admit parametrizations corresponding to metric solutions of Einstein's equations that admit a transition between a Euclidean and a Lorentzian signature.