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Article . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Article . 2026
License: CC BY
Data sources: Datacite
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Derivation of the Fine-Structure Constant from Hexagonal Recursion Geometry

Dimensionless Torsion Density, the Amplification Factor K, and Closure of the Funneled-Spring Slip Operator
Authors: Gilbert, Dexter;

Derivation of the Fine-Structure Constant from Hexagonal Recursion Geometry

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.

Keywords

Physics, Quantum physics, Physics/education, Nuclear physics, Particle physics, Physics/standards, Physics/instrumentation, Plasma physics, Laser physics, Quantum field theory, Mathematical physics, Physics/methods, Quantum Theory, Quantum Theory/history, Theoretical physics

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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