Unification of Non-Abelian Gauge Fields: Resolution of Ultraviolet Divergences and Spacetime Singularities via a Proposed Confinement Framework.

This paper presents a novel framework for non-Abelian gauge fields within the $SU(3)$ symmetry group, aiming to resolve ultraviolet (UV) divergences and classical spacetime singularities. By introducing a dynamic geometric operator g(R) coupled to the curvature of a two-dimensional color flux tube, alongside a quantized intrinsic vacuum spin term, we demonstrate that the energy-momentum tensor remains globally bounded. Our model establishes a "quantum gyroscopic cushion" that prevents kinetic denominators from vanishing, providing a robust solution to the mass gap problem (Δ=2ΛQCD). Furthermore, we apply this formalism to the Tolman-Oppenheimer-Volkoff (TOV) metric, predicting the existence of stable, macroscopic Confined Gluon Stars. Finally, we provide a regularized solution for solitonic magnetic monopoles within the pure gauge sector, bypassing the need for external Higgs mechanisms. This research provides a consistent mathematical and physical foundation for the analysis of anomalous subatomic structures (ASA) within the Trinamica CP364 methodology.