What question did this study set out to answer?

The research aims to identify turbulence scaling exponents that are exact functions of a single integer parameter, specifically Y = 7.

March 1, 2026Open Access

Exact Turbulence Exponents from a Single Integer Parameter

Key Points

The research aims to identify turbulence scaling exponents that are exact functions of a single integer parameter, specifically Y = 7.
Analyzed integers from 2 to 100 to determine which produces all four turbulence scaling exponents.
Predicted seven additional turbulence exponents related to Y=7.
Evaluated the QCD significance using statistical methods.
Only Y=7 provides all four principal turbulence scaling exponents among integers 2-100.
Achieved QCD significance with p < 10⁻⁸.
Predictions include seven additional exponents linked to Y=7.

Abstract

Four principal turbulence scaling exponents are exact functions of Y = 7. Only Y = 7 among integers 2-100 produces all four. Seven additional predictions. Cross-domain QCD significance p < 10⁻⁸. Companion to β₀ = Y.

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Phileas Foxx (Fri,) studied this question.

synapsesocial.com/papers/69a3d887ec16d51705d2f6ef https://doi.org/https://doi.org/10.5281/zenodo.18805201

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