What question did this study set out to answer?

The aim is to predict the strong coupling α_s using two independent gauge couplings from unification conditions.

April 14, 2026Open Access

αₛ from Unification — The Strong Coupling as a Derived Quantity: Two inputs, one prediction. 0. 1184 vs 0. 1180. Miss: 0. 33%.

Key Points

The aim is to predict the strong coupling α_s using two independent gauge couplings from unification conditions.
Utilized the Cabibbo Doublet framework for analysis.
Calculated α_s using two measured gauge couplings: α_EM and sin²θ_W.
Computed six scenarios at one-loop and two-loop perturbative levels with varying threshold treatments.
Compared derived strong coupling value to the measured value of α_s.
Predicted α_s = 0.1184, measured value is 0.1180 ± 0.0009.
The prediction miss was 0.33%, which is within the 1σ measurement uncertainty.
No free parameters were adjusted in the derivation process.

Abstract

αₛ from Unification — The Strong Coupling as a Derived Quantity: Two inputs, one prediction. 0. 1184 vs 0. 1180. Miss: 0. 33%. This paper is part of the HOWL research archive—a collection of physics papers exploring integer fraction derivations across multiple domains using exact arithmetic and automated comparison. Abstract The Standard Model has three independent gauge couplings: the electromagnetic coupling αEM, the weak mixing angle sin²θW, and the strong coupling αₛ. If the gauge forces unify at a single scale MGUT, the three couplings are related by one condition — only two are independent and the third follows from the running. This paper tests this prediction using the Cabibbo Doublet framework. The inputs are αEM = 1/137. 036 and sin²θW = 0. 23122 — two measured quantities from DATA-4. The output is αₛ (MZ), predicted from the unification condition with the CD modified betas (25/6, −13/6, −20/3). Six scenarios are computed at two perturbative levels (one-loop analytic, two-loop Euler integration) with two threshold treatments (no threshold, MVL = 500 GeV). The best prediction is at two loops with the full SM+VL bᵢj matrix and no threshold: αₛ = 0. 1184. The measured value is 0. 1180 ± 0. 0009. The miss is 0. 33% — within the 1σ measurement uncertainty. No free parameters are tuned. The same integers (13, 20, 22) from the Cabibbo Doublet that produce sub-percent cosmological predictions also produce a sub-percent strong coupling prediction. Falsification Criteria All papers in this archive are subject to falsification through direct comparison to published experimental measurements. Each derived value is tested against independent data with explicit PASS/FAIL criteria. Any derived value that fails its comparison is documented and published alongside the successes. Research Context This archive documents an ongoing research program in integer fraction physics. The methodology is: derive values from gauge group integers using exact fraction arithmetic, compare to published measurements, and document all results including failures. The archive spans multiple physics domains connected through the soliton boundary framework described in the constituent papers. Package Contents manuscript. md: The complete derivation and supporting analysis. README. md: Navigation, dependencies, and citation (Registry: HOWL-PHYS-30-2026). Dependencies: HOWL-PHYS-1-2026, HOWL-PHYS-13-2026, HOWL-PHYS-21-2026, HOWL-PHYS-24-2026, HOWL-PHYS-25-2026, HOWL-PHYS-26-2026, HOWL-PHYS-27-2026, HOWL-PHYS-28-2026, HOWL-PHYS-29-2026 Motto: Derive. Compare. Publish. Status: Complete

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Geoffrey Howland (Sun,) studied this question.

synapsesocial.com/papers/69ddd9cae195c95cdefd72fc https://doi.org/https://doi.org/10.5281/zenodo.19532269

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