On the Generalized Uncertainty Principle and Cosmology

TL;DR

This paper investigates how the generalized uncertainty principle (GUP) influences cosmological models, deriving modified Friedmann equations for both quantum and classical scenarios within an FRW universe with a scalar field.

Contribution

It introduces GUP modifications into cosmological equations and derives the resulting quantum and classical Friedmann equations.

Findings

GUP leads to modified Friedmann equations.

Quantum and classical solutions are obtained with GUP effects.

Potential implications for early universe cosmology.

Abstract

In this work we study the effects of the generalized uncertainty principle (GUP) in cosmology. We start with the Friedmann-Robertson-Walker (FRW) model endowed with a scalar field. After introducing the GUP modification to the model, we solve for the quantum and classical cases. Finally we find the GUP modified Friedmann equations.