Filling the Mass Gap and Unifying Classical Gauge Theory with Gravitation: Chromodynamic Symmetries, Confinement Properties, and Short- Range Interactions of Yang-Mills Gauge Theory

TL;DR: In this paper, the authors further elaborate the author's thesis that baryons including protons and neutrons are Yang-Mills magnetic monopoles and show how perturbations in these inverses, which arise from the non-linear theory, are responsible for the short-range of the nuclear interaction, notwithstanding the zero-mass gluon gauge fields.

Abstract: This is the second partial draft of a paper under development to further elaborate the author’s thesis presented in several earlier-published papers, that baryons including protons and neutrons are Yang-Mills magnetic monopoles. This paper fully develops the non-linear aspects of Yang-Mills gauge theory and applies these to the inverses used to populate the Yang-Mills magnetic monopolies with quarks and turn them into baryons and give rise to QCD. We also show how the perturbations in these inverses, which arise from the non-linear theory, are responsible for the short-range of the nuclear interaction, notwithstanding the zero-mass gluon gauge fields. This solves the mass gap problem and demonstrates how strong interactions may have a short range notwithstanding their massless gluon gauge fields. Additionally, sections 7 and 8 develop a classical field equation which fully unifies gauge theory with gravitational theory.