What question did this study set out to answer?

This research aims to derive the strong coupling constant α_s using the Clausius-Mossotti framework without adjustable parameters.

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April 26, 2026Open Access

The Strong Coupling Constant from Clausius-Mossotti Geometry: Two Derivations, Zero Parameters

Key Points

This research aims to derive the strong coupling constant α_s using the Clausius-Mossotti framework without adjustable parameters.
Presented two independent derivations of α_s: one via transmission and one using OE profile.
Calculated the strong coupling constant α_s at 1 GeV and average across multiple QCD energy scales.
Derived the QCD scale parameter Λ_QCD with a barycenter symmetry analysis.
α_s(1 GeV) was found to be 0.462, aligning with QCD within 1.6%.
The second derivation yielded an 8.1% average match across seven QCD energy scales.
Derived α_s from a self-coupled field equation led to 0.474, matching QCD at 0.9%.

Abstract

We present two independent derivations of the strong coupling constant αₛ from the Clausius-Mossotti framework (OE + W = 1) with zero freely adjustable parameters. Derivation 1 (transmission): αₛ (E) = e^ (−3/4) × (mₚ/E) ^ (1/3) gives αₛ (1 GeV) = 0. 462, matching QCD to 1. 6%. Derivation 2 (OE profile): 8. 1% average across seven QCD energy scales. The QCD scale parameter is derived as ΛQCD = mₚ/ (D+1) = 234. 6 MeV. A barycenter mirror symmetry yields αₛ = 1/√10 (4. 2% match). The self-coupled interior field equation gives αₛ = 0. 474 (0. 9% match). Running is reinterpreted as energy dilution with a testable prediction: smooth curve vs QCD kinks at quark thresholds.

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