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Phys. Rev. D 49, 930–940 (1994)

Dispersion of Newton’s constant: A transfer matrix formulation of quantum gravity

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J. Greensite
The Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen O/ Denmark

Received 14 September 1993; published in the issue dated 15 January 1994

A transfer matrix formalism applicable to certain reparametrization-invariant theories, including quantum gravity, is proposed. In this formulation it is found that every stationary state in quantum gravity satisfies a Wheeler-DeWitt equation, but each with a different value of the Planck mass; the value MPlanck4 turns out to be proportional to the eigenvalue of the evolution operator. As a consequence, the fact that the Universe is nonstationary implies that it is not in an eigenstate of Newton’s constant.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.49.930
DOI:
10.1103/PhysRevD.49.930
PACS:
04.60.Kz