Abstract
Loop quantization of diagonalized Bianchi class A models, leads to a partial difference equation as the Hamiltonian constraint at the quantum level. A criterion for testing a viable semiclassical limit has been formulated in terms of existence of the so-called preclassical solutions. We demonstrate the existence of preclassical solutions of the quantum equation for the vacuum Bianchi I model. All these solutions avoid the classical singularity at vanishing volume.
- Received 13 May 2005
DOI:https://doi.org/10.1103/PhysRevD.72.067301
©2005 American Physical Society