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Phys. Rev. D 39, 2216–2228 (1989)

Probabilistic time in quantum gravity

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Mario Castagnino
Instituto de Física de Rosario, Av. Pellegrini 250, 2000 Rosario, Argentina
Instituto de Astronomía y Física del Espacio, Casilla de Correos 67, Sucursal 28, 1428 Buenos Aires, Argentina

Received 7 November 1988; published in the issue dated 15 April 1989

The concept of time and its relation with probability in quantum gravity is studied. It is argued that the notion of probability is better defined when the topology is fixed. A ‘‘probabilistic time’’ is then introduced. It coincides with the proper time, in the classical limit, and yields a parabolic field equation, i.e., the Schrödinger equation.

© 1989 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.39.2216
DOI:
10.1103/PhysRevD.39.2216
PACS:
04.60.+n