What question did this study set out to answer?

To derive values from gauge group integers and test against published measurements in integer fraction physics.

April 23, 2026Open Access

The n-Ball Remainder Sequence: Geometric Invariant Separation from 2D Cross-Sections to 4D Spacetime

Key Points

To derive values from gauge group integers and test against published measurements in integer fraction physics.
Derivation from gauge group integers using exact fraction arithmetic.
Comparison of derived values to independent published experimental measurements.
Documentation of results including PASS/FAIL outcomes.
Successful derivation and documentation of values across multiple domains.
Published comparisons show both successes and failures, contributing to the integrity of the research program.

Abstract

The n-Ball Remainder Sequence: Geometric Invariant Separation from 2D Cross-Sections to 4D Spacetime 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-5-2026). Dependencies: HOWL-MATH-1-2026, HOWL-MATH-4-2026, HOWL-PHYS-10-2026 Motto: Derive. Compare. Publish.Status: Complete

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