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F-B1 Audit — the Decomposition's Components, Priced or Not

Year: 2026
Type: preprint
Abstract: Audit report (R&D Division, November 8, 2026) executing falsifier F-B1 as printed in 'The Fifth Coordinate — the Bundle Construction' (DOI 10.5281/zenodo.24056572), §8. F-B1 as printed: if any priced quantity in the corpus is built from S^alg alone — the algebraic part of the torsion decomposition S = S^alg + dθ (FRONT-A §A1.2) treated as a chart-independent observable — the identification of the decomposition with the local form of a bare bundle connection fails, because on the bundle the split is chart-dependent and only the sum is physical. The audit executed the note's printed form and also the symmetric form (a priced quantity built from dθ alone kills). Method: every quantitative use of the decomposition in the corpus was classified — class 1, sum-only (3 uses); class 2, component named but not priced (present in 17 works); class 3, component-priced. Class 3 is not zero on either component: three standing complexes across seven works — C3-A, the core energy law priced on |∇θ| alone (the g economy: the candidate table g(1) = 0.828427 / 0.693147 / 0.500000, core tensions, A_ps, S_grain, and blueprint 92's strength gate); C3-B, the gate density priced on S^alg alone (W12 §3/§6), which alone kills under the note's own printed form; C3-C, the sever condition priced on the winding part, at premise grade. One further component-priced attempt stands attempted-and-killed inside the corpus itself. VERDICT: F-B1 EXECUTED — the identification of §3 dies as a description of this corpus. What does not die is scoped in the audit: the bundle construction as mathematics, falsifiers F-B2 and F-B3 (not executed), and every sum-only exhibit stand exactly as priced. The decision between the fork's branches is taken in the successor note, 'F-B1 — The Fork Decided'.
DOI: 10.5281/zenodo.24056657
Language: English
Open Access status: green
OpenAlex ID: W7225578239
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