Topological Quantum Chromodynamics: A Geometric Framework for Confinement, Color Symmetry, and the Mass Gap

This monograph synthesizes the Topological QCD framework. It establishes that the Yang-Mills vacuum is a topologically structured medium polarized by gluon dynamics, termed "Gravitational Spin". The work unifies baryonic confinement via Borromean topology (Milnor invariants), the emergence of SU(3) symmetry from the B3 braid group, and the spectrum of knotted glueballs into a single topological mass functional. Finally, it demonstrates how the curvature induced by this spin network provides a rigorous geometric origin for the Yang-Mills mass gap via the Lichnerowicz theorem.