What question did this study set out to answer?

This research aims to establish the specific value of the strong coupling constant at the Z mass.

February 23, 2026Open Access

A Numerical Observation on the Strong Coupling Constant: αs (mZ) = 3/ (17×5^ (1/4) )

Key Points

This research aims to establish the specific value of the strong coupling constant at the Z mass.
Conducted numerical calculations to derive the strong coupling constant.
Performed comprehensive uniqueness tests to validate the expression.
Identified structural parallels with other mathematical expressions in the Standard Model.
Found αs(mZ) = 3/(17×5^(1/4)) with a precision of 0.014σ.
Confirmed this expression is unique using Standard Model integers within 1σ.

Abstract

Numerical observation that the strong coupling constant at the Z mass satisfies αs (mZ) = 3/ (17×5¼) to 0. 014σ (PDG 2024), where 3 is the colour count, 17 the total Standard Model particle count, and 5^ (1/4) a pentagon geometry correction. Exhaustive uniqueness test confirms this is the only expression using SM integers within 1σ that includes 17. Structural parallel with sin²θW = 5/ (17√φ) identified.

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