Mathematical Formalization of the Helical Torsion Operator: Addressing Singularity at Infinity and Spectral Stability in the Riemann Zeta Function

This supplement provides a rigorous mathematical grounding forthe Helical Unification Theory. By defining the Helical Torsion Op-erator (Tˆ) within a self-organized Hamiltonian framework, we addressthe spectral origin of Riemann zeros and resolve the infinity singularitythrough Riemann Sphere compactification