What question did this study set out to answer?

The aim is to finalize the derivation of the fine-structure constant by defining missing dimensional parameters.

April 26, 2026Open Access

Derivation of the Fine-Structure Constant from Hexagonal Recursion Geometry

Key Points

The aim is to finalize the derivation of the fine-structure constant by defining missing dimensional parameters.
Introduced a dimensional bridge involving the QED vacuum-polarization integral.
Calculated torsion accumulation using the hexagonal amplification factor.
Established a radius-collapse ratio critical for deriving torsion density.
Derived g/ω = 0.004117 rad using the established parameters.
Predicted inverse fine-structure constant as 1/α = 137.035991° with a residual of -8.48 × 10−6°.
Identified the need for an analytical derivation of the radius-collapse ratio R0/Rf.

Abstract

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 workingbackward from the known value of α. This paper closes the derivation by supplying themissing dimensional bridge: the QED vacuum-polarisation integral I must be dividedby m2eto yield the dimensionless torsion density ¯I = I/m2ethat enters the CohesionUFT torsion-accumulation operator. With this correction the full chain is:gω= K ¯I = 6R0RfIm2e,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, givingg/ω = 0.004117 rad without α as an input. The predicted inverse fine-structureconstant is 1/α = 137.035991◦, with a residual of −8.48 × 10−6◦ against the CODATAvalue. One open problem remains: deriving R0/Rf = 0.063491 analytically from theCohesion UFT pressure axiom and Continuance equation.

Read Full Paperexternally

Ask AI

Helpful

Bookmark

View Full Paper