Spin gravity: a non-Abelian gauge theory on a flat spacetime

TL;DR

This paper proposes a non-Abelian gauge theory of gravity based on a Yang-Mills force with specific symmetry groups, explaining solar system and cosmological phenomena, including universe acceleration and antimatter gravity, within a renormalizable quantum framework.

Contribution

It introduces a novel Yang-Mills gauge theory of gravity with specific symmetry groups that accounts for gravitational phenomena and cosmic acceleration without ad hoc constants.

Findings

Predicts solar system gravitational behavior and binary pulsar precession.

Explains universe's accelerating expansion from group symmetry.

Suggests antimatter repels matter gravitationally.

Abstract

In this paper, I show that a Yang-Mills force with a U(1)$\timesSU(2)\times$SU(2) group symmetry predicts solar system observations of gravitational behavior as well as binary pulsar precession provided that mass is redefined as intrinsic static pressure and all stress-energy-momentum tensors are, thus, traceless. Using a homogeneous, isotropic universe model, I show that this theory explains the accelerating expansion of the universe directly from group symmetry with no ad hoc constants and predicts that antimatter and matter gravitationally repel one another (antimatter "falls" up). In addition, because it is a generic massless Yang-Mills theory, it is a renormalizable quantum theory.