In this paper we show that there is a universal prediction for the Newtonian potential for a specific class of infinite derivative, ghost-free, quadratic curvature gravity. We show that in order to make such a theory ghost free at a perturbative level, the Newtonian potential always falls-off as $1/r$ in the infrared limit, while at short distances the potential becomes nonsingular. We provide examples which can potentially test the scale of gravitational nonlocality up to 0.004 eV.

• Received 20 April 2016

DOI:https://doi.org/10.1103/PhysRevD.94.104033