Derivation of the Fine-Structure Constant from Hexagonal Recursion Geometry

Previous versions of the Cohesion UFT fine-structure derivation identified the selfconsistency condition 1/α = θφ − 2g/ω and verified it numerically, but left the torsionaccumulation slope g/ω = 0.004117 rad as an open parameter determined by working
backward from the known value of α. This paper closes the derivation by supplying the
missing dimensional bridge: the QED vacuum-polarisation integral I must be divided
by m2
e
to yield the dimensionless torsion density ¯I = I/m2
e
that enters the Cohesion
UFT torsion-accumulation operator. With this correction the full chain is:
g
ω
= K ¯I = 6
R0
Rf

I
m2
e
,
where K = 6(R0/Rf ) is the hexagonal amplification factor derived from the funneledspring geometry. The required radius-collapse ratio is R0/Rf = 0.063491, giving
g/ω = 0.004117 rad without α as an input. The predicted inverse fine-structure
constant is 1/α = 137.035991◦
, with a residual of −8.48 × 10−6◦ against the CODATA
value. One open problem remains: deriving R0/Rf = 0.063491 analytically from the
Cohesion UFT pressure axiom and Continuance equation.