What question did this study set out to answer?

The aim is to verify integer fraction derivations and establish a consistent database for future computations.

April 23, 2026Open Access

Verified Integer Rational Database: Round Three

Key Points

The aim is to verify integer fraction derivations and establish a consistent database for future computations.
Continued usage of 123 original entries with zero numerical changes.
Performed 32 independent cross-checks covering various physical relations.
Documented derivations using gauge group integers and exact fraction arithmetic.
All 32 cross-checks regarding mass ratios and identities passed successfully.
Identified that lattice QCD mass ratios are independent from PDG quark masses, with discrepancies up to 28%.
Establishing DATA-3 as the primary reference for future computations in the HOWL archive.

Abstract

Verified Integer Rational Database: Round Three 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 DATA-3 is the verified successor to DATA-2. The same 123 entries (107 original Q335 conversions + 16 Koide-derived quantities) are carried forward with zero numerical changes. What DATA-3 adds is a certificate of internal consistency: 32 independent cross-checks covering mass ratios, analytical constant identities, physical relations, Koide derivations, and exact SI values. All 32 pass. One structural finding emerged from the verification: the lattice QCD mass ratios (mc/mₛ, mb/mc, mᵤ/md) are independent data that cannot be derived from the individual PDG quark masses by division. The discrepancy (up to 28%) is the renormalization scale mismatch between PDG masses evaluated at different scales and lattice ratios evaluated at a common scale. These entries are annotated as independent measurements. DATA-3 is the sole data reference for all future HOWL computation. DATA-2 is retired. 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-DATA-3-2026). Dependencies: HOWL-DATA-1-2026, HOWL-DATA-2-2026 Motto: Derive. Compare. Publish. Status: Documentation

Verified Integer Rational Database: Round Three

Key Points

Abstract

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