  We investigate thermal inflation in double-screen entropic cosmology. We find
that its realization is general, resulting from the system evolution from
non-equilibrium to equilibrium. Furthermore, going beyond the background
evolution, we study the primordial curvature perturbations arising from the
universe interior, as well as from the thermal fluctuations generated on the
holographic screens. We show that the power spectrum is nearly scale-invariant
with a red tilt, while the tensor-to-scalar ratio is in agreement with
observations. Finally, we examine the non-Gaussianities of primordial curvature
perturbations, and we find that a sizable value of the non-linearity parameter
is possible due to holographic statistics on the outer screen.
