# Non-bouncing solutions in loop quantum cosmology

## TL;DR

This paper investigates the behavior of loop quantum cosmology models near singularities, revealing that bouncing solutions are not generic when considering quantization ambiguities, contrasting with previous large-volume studies.

## Contribution

It demonstrates that small-volume behaviors in loop quantum cosmology differ from large-volume results and shows that bouncing solutions are not universally generic when quantization ambiguities are included.

## Key findings

- Bouncing solutions are not generic across all quantum representations.
- Small-volume behavior differs significantly from large-volume approximations.
- Quantization ambiguities influence the existence of bouncing solutions.

## Abstract

According to the Belinskii-Khalatnikov-Lifshitz scenario, a collapsing universe approaching a spacelike singularity can be approximated by homogeneous cosmological dynamics, but only if asymptotically small spatial regions are considered. It is shown here that the relevant small-volume behavior in solvable models of loop quantum cosmology is crucially different from the large-volume behavior exclusively studied so far. While bouncing solutions exist and may even be generic within a given quantum representation, they are not generic if quantization ambiguities such as choices of representations are taken into account. The analysis reveals an interesting interplay between sl(2,R)-representation theory and canonical effective theory.