Newtonian Cosmology with a Quantum Bounce

TL;DR

This paper derives quantum-corrected Friedmann equations within a Newtonian framework, revealing quantum effects that can lead to a cosmological bounce and resemble other quantum gravity models.

Contribution

It introduces a novel approach to quantum cosmology by incorporating quantum corrections into Newtonian potentials to derive modified Friedmann equations.

Findings

Quantum corrections can induce a bounce in cosmological evolution.

Sign of quantum corrections critically affects solution behavior.

Resemblance to Loop Quantum Gravity and non-commutative geometry models.

Abstract

It has been known for some time that the cosmological Friedmann equation deduced from General Relativity can be also obtained within the Newtonian framework under certain assumptions. We use this result together with quantum corrections to the Newtonian potentials to derive a set a of quantum corrected Friedmann equations. We examine the behavior of the solutions of these modified cosmological equations paying special attention to the sign of the quantum corrections. We find different quantum effects crucially depending on this sign. One such a solution displays a qualitative resemblance to other quantum models like Loop Quantum Gravity or non-commutative geometry.