PFUSRC 46.0: A Fundamental Reconstruction of the Dirac Equation from the 45° Coaxial Double-Cone Topology

This work derives the Dirac equation as a low-energy, weakly coupled, four-dimensional projection of the PFUSRC universal framework, rooted in the 45° coaxial double-cone geometry and the dual sevenfold system. By establishing a rigorous geometry-to-physics translation mechanism, we demonstrate that the differential operators ∂_μ, the Clifford algebra structure of γ^μ matrices, and the mass term m emerge naturally from the fundamental topology, rather than being introduced ad-hoc. The derivation resolves key conceptual and dimensional inconsistencies, proving that the Dirac equation is a phenomenological approximation of the universal PFUSRC convergence equation, rather than a fundamental law of nature. The framework is fully self-consistent, compatible with existing experimental results, and falsifiable through high-energy and astrophysical observations.