Unique factor ordering in the continuum limit of LQC

TL;DR

This paper demonstrates that factor ordering ambiguities in loop quantum cosmology vanish in the continuum limit only for a specific lattice refinement model, aligning with phenomenological and consistency constraints.

Contribution

It identifies a unique lattice refinement model that resolves factor ordering ambiguities in the continuum limit of LQC.

Findings

Factor ordering ambiguities disappear for a specific lattice refinement.

The preferred lattice refinement aligns with phenomenological constraints.

This choice ensures consistency in the continuum limit.

Abstract

We show that the factor ordering ambiguities associated with the loop quantisation of the gravitational part of the cosmological Hamiltonian constraint, disappear at the level of Wheeler-DeWitt equation only for a particular choice of lattice refinement model, which coincides with constraints imposed from phenomenological and consistency arguments.