The Fine-Structure Constant from the Cohesion Unified Field Theory

This paper presents the complete derivation of the fine-structure constant α
−1 ≈ 137.036
from the Cohesion unified field theory, integrating results established across nine prior
papers 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 transcendental
equation for α with no free parameters:
1
α
=
360
φ2
−
12960
π
3 ωC

3α
2
3/2
.
The solution is 1/α = 137.029, within 0.007 of the CODATA value 137.036. Every
element of the chain is derived without α as an input. The 0.007 residual is identified
as the axial torsion correction from the kinematic structure of electron-positron pair
production — a QED effect outside the geometric framework. The derivation establishes
that the fine-structure constant is the finite-time attractor of a hexagonal funneled-spring
recursion driven by the pressure of the electron vacuum on the photon field.