C47 — Different errors leave different Mirror residuals
22 September 2026 · Step 25 of the authorized 30-step Mirror continuation (C23–C52).
A small formal control table distinguishes the two released constraints:
| Control | old 17 | 15 | new 19 | right 22 | joined 24 |
|---|---|---|---|---|---|
| retained | 0 | 0 | 0 | 0 | 0 |
| old closure shifted | 1 | 1 | 1 | 1 | 1 |
| Shem member earlier by one | 0 | 0 | 1 | 1 | 1 |
| compensating mismatch | 1 | 1 | 0 | 0 | 0 |
These are diagnostics in (ρ,m), not newly admitted chronology variants. A one-year failure of the old 17-fold closure shifts all listed residuals by one. Moving only the selected ON Shem member one year earlier changes the new endpoint-dependent paths but leaves the old 17 and the 15-fold intersection unchanged.
The compensated row is especially useful: ρ=1 and m=−1 makes the new 19/22/24 widths appear exact while the old 17 remains wrong. Therefore a set of new closing widths cannot replace the old source constraints and selected-length match.
A wrong comparison unit produces another signature. Holding actual endpoint widths fixed but comparing against K+1 gives residuals −17,−15,−19,−22,−24. Confusing H with u instead affects the head-dependent interval by −2j, as C44 showed. These patterns distinguish a wrong unit, a member mismatch and a head conflation without proposing repairs to the controlling chronology.
Validation. 6 exact arithmetic/structural checks passed. The ten frozen dependencies passed hash verification; all three generated outputs replayed byte for byte in isolation, and the original dependencies remained unchanged. This step reads completed certificates and does not execute their campaigns.
Scope and provenance. Controlling File_18 and File_09 remain unchanged. Regular Gears apply only to Noah/Shem/Flood; SP person companions only to Noah/Shem. Creation and Conquest fields remain fixed. Native LXX ON, explicitly derived OFF, independent Flood start/close, and paired suffix inversion at January AD 1 remain in force. No civil year zero, upstream Gear transport, primers, Rounded campaign, or localized −33 is introduced. These are new continuation reports, not recovered historical Reports 11–25. Evidence is conditional on the supplied project model, not a proof of literary intention or independent historical dating.
Source locators. File_09 §3.1 (paired Mirror); File_18 §§2.1.3, 3.1–3.2, 6B and 6D (qualified regular and cumulative fields); frozen C15 typed graph, C16 domain certificate, and C22 reduced scale/constraint certificates.
Best next bounded step — High sufficient. Separate source-only endpoint permissions from membership in the complete joined graph.