Cosmological bounce from a deformed Heisenberg algebra

TL;DR

This paper explores how a Snyder-deformed Heisenberg algebra influences cosmological models, leading to a quantum bounce similar to loop quantum cosmology and connecting to braneworld scenarios.

Contribution

It introduces a novel Snyder-deformed quantum cosmology framework that unifies features of loop quantum cosmology and braneworld models.

Findings

Discovery of a quantum bounce in Snyder-deformed cosmology

Connection between Snyder deformation and braneworld scenarios

Unique fixed modifications in one-dimensional systems

Abstract

The implications of a deformed Heisenberg algebra on the Friedmann-Robertson-Walker cosmological models are investigated. We consider the Snyder non-commutative space in which the translation group is undeformed and the rotational invariance preserved. When this framework is implemented to one-dimensional systems (which is this case) the modifications are uniquely fixed up to a sign. A cosmological quantum bounce \`a la loop quantum cosmology is then obtained. We also get the Randall-Sundrum braneworld scenario and this way a Snyder-deformed quantum cosmology can be considered as a common phenomenological description for both theories.