Inflation and the late time acceleration from Hossenfelder-Verlinde gravity

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.