Time and complex numbers in canonical quantum gravity

Julian B. Barbour
Phys. Rev. D 47, 5422 – Published 15 June 1993
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Abstract

It is noted that not only time but also the imaginary unit is absent from the Wheeler-DeWitt equation (WDE), the basic equation of canonical quantum gravity. This leads to a severe problem in an attempt to recover the time-dependent Schrödinger equation from the WDE. It is suggested that the problem will be solved if the WDE is actually complex and not real, as in most models hitherto considered.

  • Received 10 March 1993

DOI:https://doi.org/10.1103/PhysRevD.47.5422

©1993 American Physical Society

Authors & Affiliations

Julian B. Barbour

  • Department of Physics, University of Utah, Salt Lake City, Utah 84112 and College Farm, South Newington, Banbury, Oxon, OX15 4JG, England

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Issue

Vol. 47, Iss. 12 — 15 June 1993

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