Wormholes as Basis for the Hilbert Space in Lorentzian Gravity

Details Wormholes as Basis for the Hilbert Space in Lorentzian Gravity Wormholes as Basis for the Hilbert Space in Lorentzian Gravity

1994-05-10

arxiv.org/abs/gr-qc/9405027v1

Phys.Rev.D50:3923-3931,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages (Latex), Preprint IMAFF-RC-04-94, CGPG-94/5-2

Scientific paper

10.1103/PhysRevD.50.3923

We carry out to completion the quantization of a Friedmann-Robertson-Walker model provided with a conformal scalar field, and of a Kantowski-Sachs spacetime minimally coupled to a massless scalar field. We prove that the Hilbert space determined by the reality conditions that correspond to Lorentzian gravity admits a basis of wormhole wave functions. This result implies that the vector space spanned by the quantum wormholes can be equipped with an unique inner product by demanding an adequate set of Lorentzian reality conditions, and that the Hilbert space of wormholes obtained in this way can be identified with the whole Hilbert space of physical states for Lorentzian gravity. In particular, all the normalizable quantum states can then be interpreted as superpositions of wormholes. For each of the models considered here, we finally show that the physical Hilbert space is separable by constructing a discrete orthonormal basis of wormhole solutions.

Affiliated with

Also associated with

No associations

Rating

Wormholes as Basis for the Hilbert Space in Lorentzian Gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Wormholes as Basis for the Hilbert Space in Lorentzian Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wormholes as Basis for the Hilbert Space in Lorentzian Gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-477115