The Standard Model Coupled to Quantum Gravitodynamics

TL;DR

This paper introduces a renormalizable extension of the Standard Model, called Quantum Gravitodynamics, which reproduces gravitational interactions without a graviton by using SO(4) gauge fields, and is consistent with experimental cross sections.

Contribution

It proposes a renormalizable 4D quantum gravity model coupling Standard Model fields to SO(4) gauge fields, avoiding the need for a graviton.

Findings

Reproduces experimental gravitational differential cross sections

Yields additional interactions due to non-commuting generators

All terms in the Lagrangian have dimensionality four or less

Abstract

We show that the renormalizable SO(4) X U (1) X SU (2) X SU (3) Yang Mills coupled to matter and the Higgs field fits all the experimentally observed differential cross sections known in nature. This extended Standard Model reproduces the experimental gravitational differential cross sections without resorting to the graviton field and instead by exchanging SO(4) gauge fields. By construction, each SO(4) generator in quantum gravitodynamics does not commute with the Dirac gamma matrices. This produces additional interactions absent to non-Abelian gauge fields in the Standard Model. The contributions from these new terms yield differential cross sections consistent with the Newtonian and post Newtonian interactions derived from General Relativity. Dimensional analysis of the Lagrangian shows that all its terms have total dimensionality four or less and therefore that all physical quantities in the theory renormalize by finite amounts. These properties make QGD the only renormalizable 4-dimensional theory describing gravitational interactions.