The Level 1 / Level 2 Boundary: Results of R₂ = π/4 appearring in 9 out of 9 physics domains tested

The Level 1 / Level 2 Boundary: Results of R₂ = π/4 appearring in 9 out of 9 physics domains tested 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 This paper documents the boundary between what the HOWL framework determines and what it does not. Twenty-four papers (MATH-1 through MATH-5, PHYS-1 through PHYS-14, DATA-1 through DATA-3, DISC-6 through DISC-8) have established that R₂ = π/4 appears in 9/9 physics domains across three irreducible subgroups, that transformation laws connecting observables are built from integers, and that parameter values are structureless in every basis tested. This paper collects the evidence, states the boundary, and maps every Standard Model parameter to one side or the other. The boundary: the framework determines structure (which geometric constants appear, what the moduli are, where ground states sit, what the transformation law coefficients are). It does not determine values (couplings, masses, mixing angles). The evidence comes from both sides — positive results that derive structure, and null results that fail to derive values. 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-DISC-10-2026). Dependencies: HOWL-DISC-6-2026, HOWL-DISC-7-2026 Motto: Derive. Compare. Publish.Status: Complete (Retrospective)