Mathematics – Logic
Scientific paper
Jun 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phrvd..41.3671b&link_type=abstract
Physical Review D (Particles and Fields), Volume 41, Issue 12, 15 June 1990, pp.3671-3686
Mathematics
Logic
1
Scientific paper
A generalized version of Gowdy T3 spacetime is studied and a proposal for an approximation scheme made that allows for some study of its quantum behavior in the Hartle-Hawking prescription. The system is reduced in freedom to an infinite-parameter midisuperspace model and the reduced system is analyzed. The measure choice turns out to be difficult. The system is solved up to one loop and the behavior of the partition function with respect to scaling of the metric in the direction transverse to the propagation of gravitational waves is examined. It is found that the scaling of the WKB prefactor depends only on topological factors and that this suggests that the model evolves from a pure state to a mixed one. The relation to the arrow of time is discussed. A crude reduction to dynamical degrees of freedom is made, and the possibility of creating a manifestly convergent Euclidean formalism is discussed. Some open questions as to the nature of a sum over topologies are examined via both the Page and Hawking proposals. Convergence of the partition function is examined. The possibility of a transition in behavior at a critical scale is discussed.
No associations
LandOfFree
Inhomogeneous quantum cosmology: An infinite-parameter model 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 Inhomogeneous quantum cosmology: An infinite-parameter model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inhomogeneous quantum cosmology: An infinite-parameter model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-988563