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Elimination of cosmological singularities in quantum cosmology by suitable operator orderings

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Canonical quantization of general relativity does not yield a unique quantum theory for gravity. This is in part due to operator ordering ambiguities. In this paper, we investigate the role… Click to show full abstract

Canonical quantization of general relativity does not yield a unique quantum theory for gravity. This is in part due to operator ordering ambiguities. In this paper, we investigate the role of different operator orderings on the question of whether a big bang or big crunch singularity occurs. We do this in the context of the minisuperspace model of a Friedmann-Lemaitre-Robertson-Walker universe with Brown-Kuchar dust. We find that for a certain class of operator orderings such a singularity is eliminated without having to impose boundary conditions.

Keywords: elimination cosmological; operator; singularities quantum; cosmological singularities; cosmology; operator orderings

Journal Title: Physical Review D
Year Published: 2019

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