Avoidance of Classical Singularities in Quantized Gravitational Dust Systems

Yoav Peleg

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arXiv · hep-th/9402036

Avoidance of Classical Singularities in Quantized Gravitational Dust Systems

Yoav Peleg

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Abstract

We use the canonical quantization of spherically symetric dust universes, and calculate the expectation value of the quantized metric, $<Ψ|\hat{g}|Ψ>$. 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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Yoav Peleg. 1994-02-07. Avoidance of Classical Singularities in Quantized Gravitational Dust Systems. https://arxiv.org/abs/hep-th/9402036

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