# Properties of fluctuating states in loop quantum cosmology

## TL;DR

This paper investigates how volume fluctuations and correlations influence the bounce behavior in loop quantum cosmology, showing that spectral support restrictions do not significantly limit fluctuation values.

## Contribution

It demonstrates that restricting states to positive or negative spectrum parts does not greatly constrain volume fluctuations in loop quantum cosmology.

## Key findings

- Volume fluctuations are not significantly limited by spectral support restrictions.
- States supported only on positive or negative spectrum parts still exhibit a wide range of fluctuations.
- The dynamics of the bounce are influenced by fluctuations and correlations in the quantum states.

## Abstract

In loop quantum cosmology, the values of volume fluctuations and correlations determine whether the dynamics of an evolving state exhibits a bounce. Of particular interest are states that are supported only on either the positive or the negative part of the spectrum of the Hamiltonian that generates this evolution. It is shown here that the restricted support on the spectrum does not significantly limit the possible values of volume fluctuations.