Über-gravity and the cosmological constant problem

Recently, the idea of taking ensemble average over gravity models has been introduced. Based on this idea, we study the ensemble average over (effectively) all the gravity models (constructed from Ricci scalar) dubbing the name über-gravity which is a fixed point in the model space. The über-gravity has interesting universal properties, independent from the choice of basis: (i) it mimics Einstein-Hilbert gravity for high-curvature regime, (ii) it predicts stronger gravitational force for an intermediate-curvature regime, (iii) surprisingly, for low-curvature regime, i.e. R