C11 — Conquest and the 1058 correspondences fit the existing coordinate chart

21 September 2026 · Bounded continuation of C03 and C09–C10.

No fourth numerical coordinate is needed for the sourced Conquest and 1058 extensions. On the retained L=598 layer, the added positions are determined by the existing t coordinate. The complete C03 attachment still has four chart placements representing two Creation witnesses. C10's companion cases supply two additional Creation→Conquest→MT Flood-close paths, but they do not complete the original three-stage Creation expansion chain.

The proposed full-week 300→299 compression likewise introduces no free continuous parameter once that rule is declared. Its seven interior endpoint pairs coincide with existing native pairs after a one-member reindexing. The additional closing 4413n BC boundary remains a derived comparison boundary outside the native SP Creation week. The compression's source interpretation therefore remains conditional.

The source-stage coordinate attachment. The recovered chart uses signed paired centers

at u=23, with

Here M is the selected Shem Mirror width, not an MT Creation coordinate. A BC coordinate C has signed center −C and display (C+1)t/Cn BC; a reflected regular coordinate R has center +R and display AD Rt/(R+1)n. The paired Mirror axis remains January AD1, with no civil year zero.

C03 already attaches ordinary SP Creation at b=t+868, ordinary reflected MT Flood at F=t+7745, and reflected SP primary Noah at N=t+8395+L. The constants retain their source meanings: 7745=8395−650, and the 868 is the measured cumulative-to-Creation attachment. Creation stays Normal/G2.

Set

U is the signed cumulative LXX ON earlier member paired with the cumulative OFF later member t. The interval [U,t] has length E. At L=598, E=1058, and the new Conquest point is

Consequently,

The Conquest coordinate is checked against the held reflected field 1399 through 1406; it is not admitted merely because these differences work.

All new positions are explicit functions of the old chart. The following table is restricted to the qualified L=598 source layer.

The constants are inherited rather than fitted: 7935=7745+190=8993−1058, 10580=8993+1587, and 5290=8993−3703. Thus the C10 signed BC sequence satisfies

The retained MT midpoint comparison adds 190=130+60 to the ordinary MT Flood coordinate. It does not replace the ordinary full-430/Terah-0/MT-SP-Cainan-OFF profile of the Creation chain. LXX native ON and derived OFF remain distinguished. Regular Gears remain confined to Noah/Shem/Flood; SP companions remain confined to Noah/Shem. A Flood close retains its independent event-year origin.

One interval has two translated images. This is the compact relation joining C09 and C10:

The first image is reflected Conquest→ordinary MT Flood. The second is reflected alternate-frame MT Flood→SP Noah. Reflecting the second paired interval reverses its endpoint order and gives C10's actual BC comparison SP Noah→alternate MT Flood.

Both images have length 1058, and

This identifies the previously retained 1248 flank as the displacement between these two interval images. The older relation 8993−6877=868+1248=2×1058 is unchanged: its actual outer flanks remain 868 and 1248. They are not relabeled as two consecutive 1058 segments.

These are finite correspondences between checked endpoints. Their affine formulas do not establish a translation action on every chronology or a second Mirror axis.

The complete C03 attachment keeps its original domain.

The Shem settings stay attached to their own comparison records. In particular, J03's SP Shem is native-215 while its shared Noah/Flood chain is full-430. The three N02 placements remain one Creation witness with different Shem comparisons.

The original positions recover t, L and M by

Appending the new affine functions cannot add a free parameter. The full symbolic coefficient rank remains 3. On the four admitted placements the finite affine rank remains 2, because L is fixed; the new positions alone have rank 1, varying only with t. This distinction preserves the original chart's three-coordinate result without claiming source support outside the finite attachment.

The old links retain a precise phase behavior.

The sign difference follows from paired reflection: if R(x)=−x and Tδ(x)=x+δ, then R∘Tδ=T−δ∘R. It is therefore expected that the reflected Conquest/Flood side moves in the opposite signed direction to C10's BC chain. On Creation and Conquest, the correspondence selects members of fixed weeks; it supplies no Gear transport for either week.

The companion cases support a larger partial domain. Independently checking all eight native SP Creation origins gives exactly four complete 11+2=13 paths when MT Flood starts and closes are both allowed:

Every Creation→Conquest leg is 5819; every Conquest→Flood leg is 1058. These close cases were outside C09's expressly Flood-start comparison. Their inclusion here adds two qualified prefix paths, not two complete new 6877→7475→8125 chains.

For N01 and N03 the full C03 formula would demand MT Noah births at 3055 and 3057, neither admitted in the held three-Gear MT field. Its designated SP companion-death midpoint would be 2756 or 2758, which are also outside the SP companion-death field. Other numerical coincidences do not repair those role mismatches.

The historical join qualification is also different. N01 has the retained J01, with SP native-215 companion Shem 2992→2394. N03 has a retained Noah/Flood arc but no complete retained Shem join. Transporting J01's Shem pair by +2 would require 2994→2396: the birth is admitted, but the companion death is not. The old A09 chart records contain no L=598 row. C11 therefore records N03's partial (t,L) attachment without inventing an M placement or a completed historical join.

The principal C10 chain 5296n→3709n→6n BC remains valid as 3+7. Its stronger extension would have t=−5284, midpoint 2651n, cumulative ON member 6342, and ordinary MT Flood candidate 2461. The required Flood and cumulative ON endpoints are outside their held fields. C10's separately supported Tishri reading is retained; phase is not changed to fill the Nisan gap.

Full-week compression is a boundary rule with an exact interior reindexing. To avoid confusion with the chart variable M, denote the MT Creation week by H:

The complete 8×8 endpoint comparison gives

Therefore native 5819 comparisons satisfy j=i−1, with i=1,…,7. Dean's proposed compression instead sets

so that

Its full-week match satisfies j=i, with i=0,…,7. But

Thus seven compressed endpoint pairs (Cᵢ,Qᵢ)* are exactly the native interior pairs (Cᵢ₊₁,Qᵢ). Their two descriptions retain different provenance: the compressed account uses the preceding MT Creation member as its held 299-year anchor. Coordinate coincidence does not establish that compression as the source-generating rule.

This resolves the parameter question. The fixed rule 300→299 does not require an additional continuously varying chart coordinate. It does require a label identifying the derived boundary rule and its preimage, and the full-week statement requires the conditional 4413 endpoint. Those source assumptions do not follow from an affine-rank calculation.

Compression must be applied at the declared member. Applying it to C01's existing origins while holding their ordinary MT Flood targets illustrates the distinction:

AD numerals in this table are paired centers. Shifting the Flood by another +1 would change the first target to G3 close 2459 and leave the second target 2461 unsupported; it would also require unsupported MT Noah births 3057/3059 to preserve the full expansion chain.

The original sourced pairs are recovered by compressing the preceding SP member: 4420→4419 with Conquest 1400, or 4418→4417 with Conquest 1402. These recover the existing native witnesses; they do not add independent witnesses or move Creation by a Gear.

The L=598 restriction remains necessary. The adjacent formal control t=−5287, L=600 makes the Conquest candidate 1398, the Creation→Conquest width 5817, and the following interval 1060. The C10-style refinement becomes 1587+1060+2643, with unequal midpoint halves 2647 and 2643. This numerical control does not activate another source attachment. It shows why a formula available in the three-coordinate space still needs the selected layer and endpoint checks.

Evidence and recoverable checkpoint. evidence/check_c11.py passes 138 exact checks. The packet freezes ten inputs: controlling File_18/File_09, the original chart and selection certificate, and the relevant C03/C09/C10 reports and results. The checks reconstruct native endpoints from File_18, validate the four complete C03 placements and three internal links, test the four partial/full interval attachments, check all 64 Creation–Conquest member pairs, and retain the companion, compression and adjacent-layer exclusions.

C11_COORDINATE_REGISTER.json records every affine row and its domain. C11_RESULTS.json records placements, interval maps, boundary comparisons and controls. Both result files have a byte-identical isolated replay; the packet includes input, replay and artifact SHA256 manifests. The original 66-record chart is unchanged. No canonical source was edited, no historical campaign was rerun, and no later expansion stage was claimed as sourced.

The completed checkpoint is C01–C11, alongside the recovered original Reports 01–10. Interrupted Reports 11–25 remain unestablished as completed; C11 is a new continuation supplement, not a recovery claim for original Report 11. The 5292 typo confirmation and intended seasonal envelope remain unresolved as recorded in C10.

Best next bounded step: extend C06's minimal endpoint relations to include Conquest and the 3+2+5 partition, then determine which added relations are independent and which follow from the retained 598/460/650 structure. Keep the full-week compression as a separately typed conditional rule. High is sufficient.