Inflation and the late time acceleration from Hossenfelder-Verlinde gravity

TL;DR

This paper demonstrates that Hossenfelder's covariant emergent gravity model can simultaneously explain both cosmic inflation and late-time acceleration without introducing separate inflaton fields, aligning with observational parameters.

Contribution

It provides a unified explanation for inflation and late-time acceleration within Hossenfelder-Verlinde gravity, without additional scalar fields.

Findings

Predicted inflation and late-time acceleration simultaneously.

Derived the imposter field mass for current deceleration parameters.

Found the imposter field mass value coincides with inverse fine structure constant.

Abstract

We show that Hossenfelder's covariant formulation of Verlinde's emergent gravity predicts inflation and the late-time acceleration at the same time, without assuming a separate field such as inflaton, whose sole purpose is producing inflation. In particular, for the current deceleration parameter $q=-0.95$ to $-0.55$, we obtained $\lambda^2$, the mass of the imposter field, from $1.85\times 10^4$ to $2.26\times 10^4$. We also note that the value of $\lambda$ around $q=-0.93$ coincides with the inverse of fine structure constant.