Generalized uncertainty principle distorted quintessence dynamics

TL;DR

This paper explores how a generalized uncertainty principle (GUP) influences the dynamics of a universe driven by quintessence, revealing significant changes in fixed points due to quantum effects.

Contribution

It introduces GUP modifications into cosmological equations and analyzes their impact on quintessence dynamics using dynamical systems theory.

Findings

GUP alters the fixed points in quintessence cosmology.

Quantum effects significantly modify classical cosmological solutions.

The study provides a framework for semi-classical quantum cosmology analysis.

Abstract

In this paper, we invoke a generalized uncertainty principle (GUP) in the symmetry-reduced cosmological Hamiltonian for a universe driven by a quintessence scalar field with potential. Our study focuses on semi-classical regime. In particular, we derive the GUP-distorted Friedmann, Raychaudhuri, and the Klein-Gordon equation. This is followed by a systematic analysis of the qualitative dynamics for the choice of potential $V(\phi)= V_0 \sinh^{-n}{(\mu \phi)}$. This involves constructing an autonomous dynamical system of equations by choosing appropriate dynamical variables, followed by a qualitative study using linear stability theory. Our analysis shows that incorporating GUP significantly changes the existing fixed points compared to the limiting case without quantum effects by switching off the GUP.