Dark Energy from Ratio Gravity

TL;DR

This paper explores Ratio Gravity, a novel approach to spacetime curvature, revealing a dynamical dark energy component with a unique equation of state within a homogeneous and isotropic universe.

Contribution

It introduces a formalism for Ratio Gravity using Newman-Penrose spin methods and demonstrates its implications for dark energy in cosmology.

Findings

RG predicts a dynamical dark energy component

The theory yields a novel dark energy equation of state

Cosmological models with RG fit homogeneous and isotropic universe data

Abstract

The theory of Ratio Gravity (RG) proposes that the curvature of 3+1 spacetime originates from a deformation of a Cross Ratio, where similar mathematical structure to general relativity emerges. This paper studies RG using the framework of the Newman-Penrose spin formalism. After proposing the general formalism, we move on to study a homogeneous and isotropic universe with RG. It is noted that the theory contains a component of dynamical dark energy with novel equation of state.