We extend the concept of accelerated horizons to the framework of deformed relativistic kinematics at the Planck scale. We show that the non-trivial effects due to symmetry deformation lead to a “blurring” of the horizon which manifests in a finite blueshift for Rindler modes approaching the horizon. We investigate whether, at a field theoretic level, this effect could manifest in the possibility of a finite horizon entropy density, thus providing a covariant version of ’t Hooft “brick-wall” regulator.
