# Elimination of cosmological singularities in quantum cosmology by suitable operator orderings

## TL;DR

This paper explores how different operator orderings in quantum cosmology can eliminate cosmological singularities in a simplified universe model without additional boundary conditions.

## Contribution

It demonstrates that specific operator orderings can remove big bang and big crunch singularities in quantum cosmology models.

## Key findings

- Certain operator orderings eliminate singularities
- Singularity removal occurs without boundary conditions
- Results depend on the choice of operator ordering

## 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.