Probabilistic time in quantum gravity

Mario Castagnino
Phys. Rev. D 39, 2216 – Published 15 April 1989
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Abstract

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.

  • Received 7 November 1988

DOI:https://doi.org/10.1103/PhysRevD.39.2216

©1989 American Physical Society

Authors & Affiliations

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

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Issue

Vol. 39, Iss. 8 — 15 April 1989

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