Asymptotically Weyl-Invariant Gravity

TL;DR

This paper introduces a new gravity theory based on a pure f(R) = R^n action in the Palatini formalism, which is renormalizable, scale-invariant at high energies, and reduces to general relativity at low energies, avoiding cosmological singularities.

Contribution

It presents a novel, scale-invariant gravity model that is renormalizable and smoothly transitions to Einstein's gravity at low energies, bypassing previous no-go theorems.

Findings

Model is renormalizable and scale-invariant at high energies.

Contains no obvious cosmological curvature singularities.

Transitions to general relativity in the low-energy limit.

Abstract

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) = 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.