On the stability of the dark energy based on generalized uncertainty principle

TL;DR

This paper examines the stability of a dark energy model based on the generalized uncertainty principle, finding it to be unstable due to negative squared sound speed, with implications for dark energy theories.

Contribution

It introduces a dark energy model based on the generalized uncertainty principle interacting with dark matter and analyzes its stability properties.

Findings

The equation of state parameter exhibits phantom-like behavior.

The model's squared sound speed remains negative, indicating instability.

The model's stability is assessed via the squared speed of sound.

Abstract

The new agegraphic Dark Energy (NADE) model (based on generalized uncertainty principle) interacting with Dark Matter (DM) is considered in this study via power-law form of the scale factor $a(t)$. The equation of state (EoS) parameter $\omega_{G}$ is observed to have a phantom-like behaviour. The stability of this model is investigated through the squared speed of sound $v_{s}^{2}$: it is found that $v_{s}^{2}$ always stays at negative level, which indicates instability of the considered model.