Dilaton cosmology and the Modified Uncertainty Principle

TL;DR

This paper explores the effects of a recently proposed generalized uncertainty principle on dilaton cosmology, showing that it can lead to late-time acceleration and providing analytical solutions to the Wheeler-DeWitt equation.

Contribution

It introduces the impact of the modified uncertainty principle on dilaton cosmology and derives analytical solutions for the Wheeler-DeWitt equation under this framework.

Findings

MUP can induce late-time acceleration in dilaton cosmology

Analytical solutions to Wheeler-DeWitt equation are obtained for early universe

Comparison between commutative and MUP frameworks shows quantum effects

Abstract

Very recently Ali et al.(2009) proposed a new generalized uncertainty principle (or GUP) with a linear term in Plank length which is consistent with doubly special relativity and string theory. The classical and quantum effects of this generalized uncertainty principle (term as modified uncertainty principle or MUP) are investigated on the phase space of a dilatonic cosmological model with an exponential dilaton potential in a flat FRW background . Interestingly, as a consequence of MUP, we found that it is possible to get a late time acceleration for this model. For the quantum mechanical description in both commutative and MUP framework, we found the analytical solutions of the Wheeler-DeWitt equation for the early universe and compare our results. We have used an approximation method in the case of MUP.