Avoidance of Classical Singularities in Quantized Gravitational Dust Systems

Details Avoidance of Classical Singularities in Quantized Gravitational Dust Systems Avoidance of Classical Singularities in Quantized Gravitational Dust Systems

1994-02-07

arxiv.org/abs/hep-th/9402036v1

Physics

High Energy Physics

High Energy Physics - Theory

11p LaTex, BRX-TH-354

Scientific paper

We use the canonical quantization of spherically symetric dust universes, and calculate the expectation value of the quantized metric, $<\Psi|\hat{g}|\Psi>$. 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.

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