Asymptotically Weyl-Invariant Gravity

We propose a novel theory of gravity that by construction is renormalizable, evades Ostragadsky’s no-go theorem, is locally scale-invariant in the high-energy limit, and equivalent to general relativity in the low-energy limit. The theory is defined by a pure f® = R^n action in the Palatini formalism, where the dimensionless exponent n runs from a value of two in the high-energy limit to one in the low-energy limit. We show that the proposed model contains no obvious cosmological curvature singularities. The viability of the proposed model is qualitatively assessed using several key criteria.