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arxiv: hep-th/9402036 · v1 · submitted 1994-02-07 · ✦ hep-th · gr-qc

Avoidance of Classical Singularities in Quantized Gravitational Dust Systems

classification ✦ hep-th gr-qc
keywords expectationclassicaldustmetricquantizedradiussingularvalue
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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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