Avoidance of Classical Singularities in Quantized Gravitational Dust Systems
High Energy Physics - Theory
2007-05-23 v1 General Relativity and Quantum Cosmology
Abstract
We use the canonical quantization of spherically symetric dust universes, and calculate the expectation value of the quantized metric, . Though the classical solutions are singular, and the wave functions have no zero support on singular geometries, the expectation values are everywhere regular. For a quasi-classical (coherent) state, the metric expectation value describes a universe (or star) that collapses to a minimum radius, the Planck radius, and re-expands again.
Cite
@article{arxiv.hep-th/9402036,
title = {Avoidance of Classical Singularities in Quantized Gravitational Dust Systems},
author = {Yoav Peleg},
journal= {arXiv preprint arXiv:hep-th/9402036},
year = {2007}
}
Comments
11p LaTex, BRX-TH-354