The Fine-Structure Constant from the Cohesion Unified Field Theory

This paper presents the complete derivation of the fine-structure constant α−1 ≈ 137.036from the Cohesion unified field theory, integrating results established across nine priorpapers into a single self-contained chain. The derivation proceeds from a single axiom —the universe is under pressure from the next higher scale — through four geometric steps,one coupling derivation, and one self-consistency condition, yielding a transcendentalequation for α with no free parameters:1α=360φ2−12960π3 ωC3α23/2.The solution is 1/α = 137.029, within 0.007 of the CODATA value 137.036. Everyelement of the chain is derived without α as an input. The 0.007 residual is identifiedas the axial torsion correction from the kinematic structure of electron-positron pairproduction — a QED effect outside the geometric framework. The derivation establishesthat the fine-structure constant is the finite-time attractor of a hexagonal funneled-springrecursion driven by the pressure of the electron vacuum on the photon field.