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

Jose-Luis Rosales
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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.

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Jose-Luis Rosales. 1996-07-12. Remarks on the issue of time and complex numbers in canonical quantum gravity. https://doi.org/10.1103/physrevd.54.4185

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