Critique of the Wheeler-DeWitt equation

Details Critique of the Wheeler-DeWitt equation Critique of the Wheeler-DeWitt equation

1997-04-23

arxiv.org/abs/gr-qc/9704061v2

in "On Einstein's Path" ed. by A. Harvey (Springer, 1998) pp. 367-379

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages LaTeX, one figure. It is stressed that the critique is not general, but only aimed at the use of the WDW equation for

Scientific paper

The Wheeler-DeWitt equation is based on the use of canonical quantization rules that may be inconsistent for constrained dynamical systems, such as minisuperspaces subject to Einstein's equations. The resulting quantum dynamics has no classical limit and it suffers from the infamous ``problem of time.'' In this article, it is shown how a dynamical time (an internal clock) can be constructed by means of a Hamilton-Jacobi formalism, and then used for a consistent canonical quantization, with the correct classical limit.

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