PFUSRC₃7: Lower-Cone Diffusive Contraction, Non-Penetration Theorem, and Spin-1/2 Convergence for Topological Stability

This work establishes the complete dynamical framework for the lower-cone domain within the 45° triple coaxial double-cone topological system, an unexplored fundamental geometry absent from conventional mathematical and physical paradigms. Three core theoretical propositions are formulated: the unique diffusive contraction behavior of the lower cone, the rigorous non-penetration constraint of the bottom topological focus, and the necessary spin-1/2 upward convergence condition that eliminates infinite structural opening. A universal double-cone unification formula is presented, which naturally embeds the Dirac equation as a limiting case. Full derivation of the universal formula is reserved for extended research to preserve the focus of this topological prediction system. This study proves the structural incompleteness of all static geometric axiom systems and provides a unified topological origin for Hubble tension, persistent observational residuals, and fundamental mass-gap problems.