Predicting Planck scale and Newtonian constant from a Yang-Mills gauge theory: 1 and 2-loops estimates

TL;DR

This paper investigates an emergent gravity model based on $SO(5)$ Yang-Mills theory, performing loop calculations to estimate the Newtonian constant and transition scale, linking quantum and classical gravity.

Contribution

It provides 1 and 2-loop estimates demonstrating the model's ability to predict the Newtonian constant and the transition scale near the Planck scale.

Findings

Model predicts Newtonian constant accurately

Transition scale aligns with Planck scale

Discusses implications for the cosmological constant problem

Abstract

Recently, a model for an emergent gravity based on $SO(5)$ Yang-Mills action in Euclidian 4-dimensional spacetime was proposed. In this work we provide some 1 and 2-loops computations and show that the model can accommodate suitable predicting values for the Newtonian constant. Moreover, it is shown that the typical scale of the expected transition between the quantum and the geometrodynamical theory is consistent with Planck scale. We also provide a discussion on the cosmological constant problem.