C106 — Mirror closure preserves source identity and adds no duplicate duration evidence
22 September 2026 · Step 4 of the authorized ten-step Mirror continuation (C103–C112).
The 15 distinct grid records and three Kohath records have now been completed on both sides of the Mirror. The SP Noah counterparts already existed. Sixteen new counterparts and sixteen reflection bindings are added; the same 15 carrier intervals and three Joseph lifespan intervals produce 18 reversed copies.
| Graph state | Nodes | Durations | Reflections | Rank |
|---|---|---|---|---|
| C105 | 88 | 171 | 19 | 85 |
| C106 paired closure | 104 | 189 | 35 | 101 |
Each counterpart adds one variable and one independent reflection equation. The 18 copied durations add zero further rank: reflection of a duration follows from the original duration and the two endpoint reflection bindings. Their preservation is a consistency result, not 18 fresh witnesses.
For example, apparent Creation −4444 → Joseph +1904 has width 6348; its reflected interval is Joseph −1904 → apparent Creation +4444, again 6348. Endpoint order reverses. The exact phase representation retains P(x)=(x−¼,x+¼), with reflection sending P(x) to P(−x) after reversing components. No civil year zero is introduced. These model phase tags do not assign an otherwise unstated historical event month to an annual source record.
The certificate contains the complete counterpart map, source identities, reflected edge list and graph. Ordinary/apparent Creation profiles and G1/G2 regular records remain distinct on both sides.
Validation. 10 exact arithmetic/structural checks passed. The 15 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 and Appendix A (paired Mirror); File_18 §§2.1.3, 3.1 and 6A (regular fields and cumulative source members); File_61 §11.2 (original backward Joseph +110); File_62 collateral-scope guards; C05 admitted apparent field; C43 frozen graph; C95 and C100–C102 named carrier rows; preceding current certificates. The forthcoming 529 × 4 × 2 cycle has not been explored. The declared phase model does not infer an unstated birthday or event month from an annual source row.
Best next bounded step — High sufficient. Register the two authorized G1→G2 Flood/Noah comparisons and compare the Creation-anchor differences obtained through their two junction paths.