What question did this study set out to answer?

This work aims to evaluate integer fraction derivations across various physics domains by comparing them to experimental data.

April 23, 2026Open Access

Reading Depth Across the Soliton Hierarchy: 18 Tests from Meters to Gigaparsecs

Key Points

This work aims to evaluate integer fraction derivations across various physics domains by comparing them to experimental data.
Derived values from gauge group integers using exact arithmetic.
Conducted comparisons with published experimental measurements.
Documented all results, including those that failed the tests.
Identified critical discrepancies in derived values, such as mercury concentration being off by a factor of 1000.
Noted inconsistencies in muon calculations, highlighting errors in specific sections.
Recorded all failures alongside successes for transparent documentation of findings.

Abstract

Reading Depth Across the Soliton Hierarchy: 18 Tests from Meters to Gigaparsecs 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 OF REQUIRED CORRECTIONS BEFORE PUBLICATION | Priority | Erratum | Impact | |---|---|---| | CRITICAL | E8/A8: Mercury is 2. 8 ppm not 2. 8 ppb | Precision claim off by 1000× | | HIGH | E1: Muon γ = 15. 8 vs 29. 3 inconsistency | Wrong physics in Section IV | | HIGH | E3: SN Ia z = 0. 5 in pool but z = 1 in paper | Result 1. 5 not 2. 0 | | MEDIUM | E2: Pound-Rebka date/uncertainty attribution | Incorrect citation | | MEDIUM | A5: GMS 12-digit claim needs verification | Precision budget may be wrong | | LOW | E5: 30 vs 34 pool constants | Minor count error | | LOW | E6: 53/13 clarification | Ambiguous without context | | LOW | A2: Derivation key mismatch | Runner issue, not paper issue | 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-PHYS-42-2026). Dependencies: HOWL-PHYS-1-2026, HOWL-PHYS-40-2026, HOWL-PHYS-41-2026 Motto: Derive. Compare. Publish. Status: Complete

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