490d C324 — 460-to-500 source dependency audit
24 September2026. Step1 of10 in the C324–C333 authorization.
The supplied sources do prescribe local460→500 endpoint completions, but the audited passages do not prescribe a connecting rule from the newly verified regularSP→MT context correspondence to the Noah-bound500 relation. This is a bounded dependency gap, not an absence of all endpoint rules.
| Evidence | Location | Supported result | Remaining distinction |
|---|---|---|---|
| Bilateral460→500 | File_09 §3A.2.3, lines1045–1074 | Named cumulative field with40-year shoulders, two overlapping500 intervals, outer540 | CumulativeCainan construction, not the regularSP→MT biography |
| Flood/Arphaxad andCainan/Shelah completions | File_09 §3A.3.3–4, lines1133–1193 | Explicit460 and500 component-wise endpoint comparisons | Generated completed coordinates retain their roles and provenance |
| Noah-bound500 | File_18 §1.3.5 and §3.2.1 | Source-qualified500/100 relation; separate textual binding retained | No E derivation or context-selection rule is supplied |
| RegularCainan comparison | AXIS_REPORT §8.1, lines474–487 | DeclaredQ1405 comparison yields raw4508/4968 and expanded4900/5400; difference460→500 | Different events and declared comparison from the presentSP/MT map |
| Double expansion | File_46 §6A.3 and AppendixA.3 | 23² permits two integral expansions;4232→4600→5000 | TheNoah500 resonance is explicitly a display motif; appendix777 provenance remains |
The independent source ledger records26 exact excerpts, source hashes and keyword-search coverage across File_18, File_09, File_46 and the axis report. None of the reviewed passages identifies the specific cross-context460 leg as input toE and its output as the regularNoah-bound500 leg with endpoint, direction, context and phase specified. The conclusion is limited to those reviewed passages; no repository-wide absence is asserted.
The arithmetic is exact:460E=500, the gain is40, and529E²=625. But the C322 map is a translation with slope1, preserving all biography spans. A single affine dilation D_a(x)=a+E(x−a) has slope25/23 regardless of anchor. It would turn the500 birth gap into12500/23, a discrepancy of1000/23. Therefore no common anchoredE map equals the entire460-year biography translation. This is an anchor-independent obstruction to that particular interpretation, not a rejection of source-qualified local interval completion.
The operator types must remain separate. CumulativeCainan460 is not regularCainan130. The regular context composition−650+130+60 has net−460 without changing that distinction. File_46's static460+30 motif guard is explicitly local to its Matthew–Luke lattice; its non-collapse guard preserves legitimate deep-time460 uses. No global prohibition is inferred.
Notation: this batch uses K=529 andE=25/23. The axis report usesK for the ratio25/23; its quoted notation is translated explicitly here. No new anchor, completed event coordinate or expansion path has been adopted.
Verification and limits
22 main checks and 17 frozen-input/predecessor authentication checks passed. A second main replay produced byte-identical DATA/RESULTS. Independent review and its scope are recorded in the evidence. All frozen originals and standing controls remain unchanged. Verification counts are not independent-witness counts.
Bounded source audit and exact operator distinction only. Positive localprescriptions, source modalstates and Appendixprovenance remain intact.
Mirror/529 focus: K=529, E=25/23, P=70/69. Global paired Mirror January AD1; local junction January AD2; no civil year zero. Regular Gears are Noah/Shem/Flood only. SP minus-one person companions remain local to SP Noah/Shem; Flood close is a separate boundary. No upstream/cumulative Gear, new endpoint or phase, fitted anchor, global axis, primer reopening, canonical or graph edit. Capture now; canonize later. Source identity, context, modal binding, generated coordinates and phase ancestry stay distinct.
Decision after this result
C325, proposed and unexecuted: Census the existing fifteen primary SP/MT role correspondences for admitted460+40=500 endpoint triples. Hold Gear, role, context and exact phase; create no new endpoint, expansion anchor or E-generated date.
An existing40-year leg could supply a concrete endpoint relation worth studying. It would remain a qualified arithmetic construction until a source rule selects it. The finite census is more informative than repeating the scalaridentity or extending a source absence claim.