Article 3: Derivation of the Fine-Structure Constant from the Topology of the Proton Vortex in PEW

Within the Primordial Energy Waves (PEW) framework, all physical entitiesare topological vortex configurations of a single complex scalar field Ψ = Ã exp(iθ). Theproton is modelled as a three-strand Hopf-fibration torus with aspect ratio R/r = φ(golden ratio). We derive the fine-structure constant in two steps. First, the idealclosed torus yields a topological coupling αtopo = 3/(16π² φ²) = 1/137.808. Second,the spiral of each strand never closes on the irrational torus: its free endpointconstitutes an open gate — geometrically analogous to the flared opening of acochlea or gastropod shell — whose exact cross-section contributes a correctionsin(1/φ)/(32π). The resulting prediction αem = (3 / (16π² φ²)) (1 +…