# 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

\[
b=-4422+j,\quad q=1397+j,\quad J=1903+j,\quad F=2453+j.
\]

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.