Remarks on the issue of time and complex numbers in canonical quantum gravity
General Relativity and Quantum Cosmology
2011-09-09 v1
Abstract
We develop the idea that, as a result of the arbitrariness of the factor ordering in Wheeler-DeWitt equation, gauge phases can not, in general, being completely removed from the wave functional in quantum gravity. The latter may be conveniently described by means of a remnant complex term in WDW equation depending of the factor ordering. Taking this equation for granted we can obtain WKB complex solutions and, therefore, we should be able to derive a semiclassical time parameter for the Schroedinger equation corresponding to matter fields in a given classical curved space.
Cite
@article{arxiv.gr-qc/9607028,
title = {Remarks on the issue of time and complex numbers in canonical quantum gravity},
author = {Jose-Luis Rosales},
journal= {arXiv preprint arXiv:gr-qc/9607028},
year = {2011}
}
Comments
Typewritten using RevTex, to appear in Phys. Rev. D