English

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, <Ψg^Ψ><\Psi|\hat{g}|\Psi>. 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.

Keywords

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

R2 v1 2026-07-22T15:48:57.293Z