Probabilistic time in quantum gravity
- 15 April 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 39 (8) , 2216-2228
- https://doi.org/10.1103/physrevd.39.2216
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.Keywords
This publication has 11 references indexed in Scilit:
- Interpretation of the wave function of the UniversePhysical Review D, 1989
- Quantum kinematics of spacetime. I. Nonrelativistic theoryPhysical Review D, 1988
- Hyperbolic Structures on 3-Manifolds I: Deformation of Acylindrical ManifoldsAnnals of Mathematics, 1986
- Does the topology of space fluctuate?Foundations of Physics, 1986
- Arrow of time in cosmologyPhysical Review D, 1985
- Wave packet in quantum cosmologyPhysical Review D, 1985
- Origin of structure in the UniversePhysical Review D, 1985
- Wave function of the UniversePhysical Review D, 1983
- The Riemannian Structure of Space-Time as a Consequence of a Measurement MethodJournal of Mathematical Physics, 1971
- Quantum Theory of Gravity. I. The Canonical TheoryPhysical Review B, 1967