The Fine Structure Constant from Braid Geometry

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Autor principal: Yazdani, Nick Navid
Formato: Recurso digital
Publicado: Zenodo 2026
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author Yazdani, Nick Navid
author_facet Yazdani, Nick Navid
contents <p>We present a complete derivation of the fine structure constant α ≈ 1/137 from the geometry of the braid group B3 embedded on a tip-fused bicone manifold. We construct the explicit energy functional for a triple-helix configuration, impose the topological constraints from braid closure and spin-statistics, and perform the variational minimization. The critical pitch angle ψ_crit emerges from the balance between strand tension, inter-strand repulsion, and the holonomy constraint on the bicone. We show that α = sin(ψ_crit) represents the geometric projection factor coupling helical flow to linear propagation. All steps are derived from first principles with no free parameters.</p>
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publishDate 2026
publisher Zenodo
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spellingShingle The Fine Structure Constant from Braid Geometry
Yazdani, Nick Navid
<p>We present a complete derivation of the fine structure constant α ≈ 1/137 from the geometry of the braid group B3 embedded on a tip-fused bicone manifold. We construct the explicit energy functional for a triple-helix configuration, impose the topological constraints from braid closure and spin-statistics, and perform the variational minimization. The critical pitch angle ψ_crit emerges from the balance between strand tension, inter-strand repulsion, and the holonomy constraint on the bicone. We show that α = sin(ψ_crit) represents the geometric projection factor coupling helical flow to linear propagation. All steps are derived from first principles with no free parameters.</p>
title The Fine Structure Constant from Braid Geometry
url https://doi.org/10.5281/zenodo.18285602