Remarks on the issue of time and complex numbers in canonical quantum gravity

Details Remarks on the issue of time and complex numbers in canonical quantum gravity Remarks on the issue of time and complex numbers in canonical quantum gravity

1996-07-12

arxiv.org/abs/gr-qc/9607028v1

Phys.Rev.D54:4185-4188,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Typewritten using RevTex, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.54.4185

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.

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