What question did this study set out to answer?

To explore how surplus predictions from integer fractions serve as evidence in various physics domains.

April 23, 2026Open Access

The Derivation-as-Proof Principle: When Surplus Predictions Constitute Evidence

Key Points

To explore how surplus predictions from integer fractions serve as evidence in various physics domains.
Derived values from gauge group integers using exact fraction arithmetic
Compared derived values to published experimental measurements with PASS/FAIL criteria
Documented all outcomes, including both successful and failed comparisons.
Each derived value faced stringent testing against independent experimental data
Invalid comparisons were published alongside successful ones for transparency
The methodology spans various physics domains linked by the soliton boundary framework.

Abstract

The Derivation-as-Proof Principle: When Surplus Predictions Constitute Evidence 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. 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-MATH-10-2026). Dependencies: HOWL-MATH-1-2026, HOWL-MATH-7-2026, HOWL-MATH-8-2026, HOWL-MATH-9-2026 Motto: Derive. Compare. Publish.Status: Complete

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Geoffrey Howland (Wed,) studied this question.

www.synapsesocial.com/papers/69e9b91385696592c86ec011 — DOI: https://doi.org/10.5281/zenodo.19665803

The Derivation-as-Proof Principle: When Surplus Predictions Constitute Evidence

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