# 490d Mirror checkpoint after C269

24 September 2026. Latest completed step: **C269 — the LXX closing sources join the retained 17×529 paths**. Continues C01–C268; no restart or canonical amendment.

## New integration

The exact Flood closing source of C267’s positive bracket is L=−5283, pair 5284t/5283n BC. It lies inside both retained 868-year cumulative-to-Creation attachments:

| Chain | Selected cumulative → closing → Creation | Widths |
|---|---|---|
| N02 | −5287 → −5283 → −4419 | 4+864=868 |
| N04 | −5285 → −5283 → −4417 | 2+866=868 |

Appending the existing 6877+299+299+650 path retains total 8993. Starting at the closing source alone gives 8989/8991 to the existing SP Noah endpoints, so the 4/2 prefixes must remain explicit.

The negative bracket’s Shem closing source S=−5883 is already stored as `N04_cm`. Its stored edge `N04_598cum` ends at the interior Flood member −5285. Extending to Flood close −5283 gives **598+2=600**. C266’s translations give S+5888=−5285+5290=5 and L+5290=7; reflecting the first gives the retained local pair −5/7 about junction 1.

## Important inherited later support

The frozen C127 graph has no node at Flood closing −5283. **C254 already supplies its source path**, selector 7:

\[
-5283\to-4415\to1404\to2460\to3710,
\]

\[
868+5819+1056+1250=8993.
\]

Its reflected regular endpoints are Conquest 1404, MT G3 Flood start 2460 and SP G3 primary Noah birth 3710. Its Creation-to-Flood prefix is 6875. C18’s unsupported exact 6877 target 2462 remains unsupported; it does not negate the later 6875 path. This row is inherited evidence, not a new C269 discovery or a rerun of the six-selector campaign.

Together with stored `N04_17opposite`, the two closing sources form:

| Cumulative source | Reflected regular SP target | Width |
|---|---|---:|
| Shem close −5883 | G3 Flood start 3110 | 8993 |
| Interior Flood −5285 | G2 primary Noah birth 3708 | 8993 |
| Flood close −5283 | G3 primary Noah birth 3710 | 8993 |

Both columns have gaps 598+2, totaling 600. Translation T8993 carries all three source pairs to the corresponding target pairs and preserves actual seasonal spacing. The rectangle with sides 600 and 8993 is a dependent integration of existing source relations, not new independent 17K witnesses or a repaired regular Shem midpoint chain.

## Operator and graph limits

- The new 4/864 and 2/866 attachment subdivisions are source-supported refinements, not stored C127 edges. The graph is unchanged.
- C09’s retained translation 7745 sends selected members −5287/−5285 to MT Flood 2458/2460. It sends closing −5283 to unsupported 2462. Locally this is x→x+2455.
- C268’s source-coordinate charts are Ψₛ,ₐ(q)=a+s(q+5289), s=1196/1300. They anchor q=−5289. At selected cumulative c they miss the Creation attachment target a by 2392/2600 for N02 and 4784/5200 for N04.
- The C268 closing-center images remain 2757/2759 sourced and 3381/3383 generated. Those charts convert the local half-year into 598/650 years with seasonal components becoming target pair centers. Source translations preserve half-year spacing. Connected source paths do not identify those different operations.
- Global Mirror remains M(x)=−x about January AD 1; C266 local J₁ remains 2−x about January AD 2. No civil year zero or new universal axis.

## Evidence and controls

Sixteen frozen inputs; **145 exact assertions**; six computational outputs replayed byte identically; independent mathematical and graph/source reviews; certificate chained to C268; source/artifact manifests. The authored report/checkpoint are not replay outputs.

Current File_18 SHA-256: `68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5`.

Current File_09 SHA-256: `45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e`.

The C127 graph retains 208 nodes and 382 duration edges; the C265 certificate and all immediate sources remain unchanged. Keep K=529, E=25/23, P=70/69 and ρ=radius. Regular Gears remain Noah/Shem/Flood only. Capture now, canonize later. Both primers remain quarantined; no cumulative or upstream Gear or z-law. Original Reports 01–10 and interrupted, unestablished original Reports 11–25 remain distinct from the C-series. C267’s 2500/7500 role distinctions and the complementary 7000/7500 interpretations remain retained.

The superseded AD 1905–1911 historical lookup remains unexecuted.

## Best next bounded step

**C270:** transport the source-qualified closing 17K rectangle through the inherited C266 translations and reflection. Test the regular SP G3 counterpart to the LXX bilateral 5750/6250 bracket in both phases, deriving all induced translations from the existing 8993 correspondence. No new fitted scale. **High is sufficient.**

C270 is proposed, not executed. Publish completed reports and incremental evidence as work proceeds; await Dean’s next instruction.