Critique of the Wheeler-DeWitt equation
General Relativity and Quantum Cosmology
2022-03-14 v2 Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/9704061,
title = {Critique of the Wheeler-DeWitt equation},
author = {Asher Peres},
journal= {arXiv preprint arXiv:gr-qc/9704061},
year = {2022}
}
Comments
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 minisuperspaces