The Swirl Is the Strong Force: Turbulence's Kolmogorov Exponents 2/3 and 5/3 Are the Colour Coupling

One axiom. One operation. Zero free parameters. Turbulence is the oldest unsolved problem in classical physics, and its two universal numbers — the Kolmogorov exponents 2/3 and 5/3, measured in every turbulent flow on Earth — have been derived from first principles by no one in eighty years. This paper derives both, and finds the number is the strong force. The turbulent energy cascade is a branching of energy across the three spatial dimensions, an m=3 fold process. The fold branching ratio at a three-fork is (m−1)/m = 2/3 — the second-order structure-function exponent, Kolmogorov’s 2/3 law. The energy-spectrum exponent is one more, 1 + 2/3 = 5/3 (from integrating over the wavenumber shell), Kolmogorov’s 5/3 law. Both are the fold’s m=3 ratio, and that ratio is the strong-force coupling — the same 2/3 that ropes the quarks inside every proton. The swirl of a river and the force binding the nucleus read the same number. Pure exponents, no anchor; machine-checked; reproduces from one command. A standalone result within the Smithian Fold Theory of Everything (SFTOE). Full corpus, code, and the run-it-yourself VERIFY.md protocol: https://github.com/MettaMazza/Smithian-Fold-Theory

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-29
DOI
https://doi.org/10.5281/zenodo.21026551
Primary Topic
Earth Systems and Cosmic Evolution
Type
article
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article

The Swirl Is the Strong Force: Turbulence's Kolmogorov Exponents 2/3 and 5/3 Are the Colour Coupling

Maria Smith
Zenodo (CERN European Organization for Nuclear Research)
Earth Systems and Cosmic Evolution
article

The Swirl Is the Strong Force: Turbulence's Kolmogorov Exponents 2/3 and 5/3 Are the Colour Coupling

Maria Smith
article en

Abstract

One axiom. One operation. Zero free parameters. Turbulence is the oldest unsolved problem in classical physics, and its two universal numbers — the Kolmogorov exponents 2/3 and 5/3, measured in every turbulent flow on Earth — have been derived from first principles by no one in eighty years. This paper derives both, and finds the number is the strong force. The turbulent energy cascade is a branching of energy across the three spatial dimensions, an m=3 fold process. The fold branching ratio at a three-fork is (m−1)/m = 2/3 — the second-order structure-function exponent, Kolmogorov’s 2/3 law. The energy-spectrum exponent is one more, 1 + 2/3 = 5/3 (from integrating over the wavenumber shell), Kolmogorov’s 5/3 law. Both are the fold’s m=3 ratio, and that ratio is the strong-force coupling — the same 2/3 that ropes the quarks inside every proton. The swirl of a river and the force binding the nucleus read the same number. Pure exponents, no anchor; machine-checked; reproduces from one command. A standalone result within the Smithian Fold Theory of Everything (SFTOE). Full corpus, code, and the run-it-yourself VERIFY.md protocol: https://github.com/MettaMazza/Smithian-Fold-Theory

Zenodo (CERN European Organization for Nuclear Research)
Fano Labs (China) (CN)
Openalex Percentile: Top 8%
Earth Systems and Cosmic Evolution
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