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Phys. Rev. D 47, 5422–5429 (1993)

Time and complex numbers in canonical quantum gravity

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

Received 10 March 1993; published in the issue dated 15 June 1993

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.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.47.5422
DOI:
10.1103/PhysRevD.47.5422
PACS:
04.60.+n, 03.65.Bz, 04.20.Fy