What question did this study set out to answer?

The aim is to enhance the Verified Integer Rational Database with new integer fraction parameters and verification checks.

April 23, 2026Open Access

Verified Integer Rational Database: Includes Cabibbo Doublet Extension

Key Points

The aim is to enhance the Verified Integer Rational Database with new integer fraction parameters and verification checks.
Integrate 23 new entries focusing on Cabibbo Doublet and GUT parameters using exact arithmetic.
Implement a formalized annotation for lattice ratios and assess their independence at a common scale.
Establish falsification criteria ensuring derived values are comparable to published measurements.
DATA-4 includes a total of 146 entries, with 23 new additions and 38 verification checks all passing.
Lattice QCD mass ratios are found to be independent from PDG quark masses, with discrepancies up to 28%.
A computation traceability map connects DATA-4 entries to previous works, enhancing the depth of this research archive.

Abstract

Verified Integer Rational Database: Includes Cabibbo Doublet Extension 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-4 is the verified successor to DATA-3. It inherits all 123 entries and all 32 consistency checks with zero numerical changes. It adds 23 new entries in two categories: 6 STAGED entries for the Cabibbo Doublet parameters (entries 124-129, Type G — bounded but not yet measured) and 17 GUT/unification parameters (Section N, Type D — derived from Level 1 exact Fraction arithmetic). It formalizes the lattice ratio independence annotation as Finding 15: the FLAG lattice QCD mass ratios (mc/mₛ, mb/mc, mᵤ/md) are independent measurements evaluated at a common renormalization scale, not derivable from the individual PDG quark masses evaluated at different scales, with discrepancies up to 28% from the scale mismatch. It adds 6 new GUT verification checks (Group G, all exact), bringing the total to 38/38 PASS. It adds a computation traceability map linking DATA-4 entries to every PHYS and MATH paper in the series. DATA-4 contains 146 entries total: 123 inherited from DATA-3, 6 staged Cabibbo Doublet, and 17 GUT parameters. DATA-4 is the sole data reference for all future HOWL computation. DATA-3 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-4-2026). Dependencies: HOWL-DATA-1-2026, HOWL-DATA-2-2026, HOWL-DATA-3-2026 Motto: Derive. Compare. Publish. Status: Documentation

Verified Integer Rational Database: Includes Cabibbo Doublet Extension

Key Points

Abstract

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