C75 — Six source-qualified 11-fold chains occupy the complete Flood boundary field
22 September 2026 · Step 3 of the authorized ten-step Mirror continuation (C73–C82).
The four endpoint requirements can be solved as one bounded field intersection. Retain the existing index convention and write
Here b is the BC Creation centre; q, J and F are reflected Conquest, original backward cumulative Joseph head, and ordinary MT Flood coordinates. Their Creation widths are 5819,6325,6875.
| Source field | Admitted integer j |
|---|---|
| Creation | 1…8 |
| Conquest | 2…9 |
| Joseph | 1…8 |
| MT_Flood | 2…7 |
The exact intersection is j=2…7, six annual placements:
| j | Creation BC centre magnitude | Conquest reflection | Joseph-head reflection | MT Flood reflection | Flood binding |
|---|---|---|---|---|---|
| 2 | 4420 | 1399 | 1905 | 2455 | G1 close |
| 3 | 4419 | 1400 | 1906 | 2456 | G1 start |
| 4 | 4418 | 1401 | 1907 | 2457 | G2 close |
| 5 | 4417 | 1402 | 1908 | 2458 | G2 start |
| 6 | 4416 | 1403 | 1909 | 2459 | G3 close |
| 7 | 4415 | 1404 | 1910 | 2460 | G3 start |
These are three starts and three closes. A close is independently supplied by its one-year Flood event; it is not an SP companion rail imported into MT. Every listed Joseph head is a member of the derived original collateral envelope, and every Creation/Conquest selection stays within a fixed field.
C09's native 11-fold comparison has seven interior Creation/Conquest pairs. The added Flood requirement excludes its final j=8 member, which would require MT Flood 2461. At j=1 the Conquest image 1398 and Flood image 2454 are outside their fields.
The six rows are placements of one anchored construction, not six independent determinations of 529. j=2…5 reuse N01…N04 coordinates where present. The j=6/7 rows are recorded here as an additional 11-fold construction with their own admission proof; they do not inherit every old cumulative/Noah attachment or enlarge the completed joined graph automatically.
Validation. 16 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 and exact phase); File_18 §§2.1.3, 2.4, 3.1 and 6/6A (regular fields and cumulative collateral source); File_61 §11 and File_62 collateral-scope guards (original Joseph portion only); frozen C15/C16/C22/C43/C65/C72 certificates and C01/C05/C09 reports (retained source, phase and family dependencies). The declared phase model does not infer an unstated birthday or event month from an annual source row.
Best next bounded step — High sufficient. Identify which of these six rows extend through same-Gear MT and SP Noah births.