490d C477 — Fixed Mirror Images of the Source-Qualified Noah-Held Family
25 September 2026 UTC. Step 8 of 10, C470–C479.
The finite test uses the nine source-endpoint cases from C476, both fixed exchanges with , and the unchanged48-record LXX cumulative menu. Algebraically,
All18 trials satisfy this identity. The corresponding source requirements do not follow from it.
| Regular input / held upper | A | Cumulative held pivot | Reflected lower path | Inherited cross-span |
|---|---|---|---|---|
| 2647 / 3705, companion | −2639 | −6344 | −5286→−5194†→−5094† | 8991 |
| 2648 / 3706, primary | −2639 | −6345 | −5287→−5195†→−5095† | 8993=17K, i3 |
| 2649 / 3707, companion | −2639 | −6346 | −5288→−5196†→−5096† | 8995 |
| 2650 / 3708, primary | −2639 | −6347 | −5289→−5197†→−5097† | 8997 |
| 2650 / 3708, primary | −2635 | −6343 | −5285→−5193†→−5093† | 8993=17K, i5 |
A dagger marks absence from the frozen cumulative menu. These five initial images are exactly the C461 images, not new corners. Only two preserve the original C287 annual assignment and17K cross-span. The companion cases already lack their regular held middle, and all five images lack both cumulative expanded stations.
Across all18 trials there is no sourced cumulative middle. There are two isolated cumulative final hits: the3899-held endpoint case reflects its final2649 to−5288 or−5284. In both cases its reflected pivot, input and middle are absent. Those final coincidences do not supply a path.
The existing17K corner and the existing regular1058→1150→1250 path therefore coexist without producing a fully sourced cumulative E ladder in this menu. This is a precise boundary on the declared comparison, not a claim about every cumulative date elsewhere in the study.
Verification and scope
64 calculation checks and 26 source/predecessor authentication checks passed. Main result files replay byte for byte. These are root-agent checks, not an independent-agent review or independent historical witnesses.
The inherited held-pivot diagnostics remain distinct from the active eight-pivot E menu. The cumulative domain is exactly48 LXX records, the exchange constants remain−2639/−2635, and no new phase, source anchor or cumulative Gear is introduced.
Mirror/529 focus: K=529, E=25/23, P=70/69; J=300/299 remains File02 gap conversion, not a calendar date operator or Residue Protocol. Regular Gears are Noah/Shem/Flood only. SP person companions are local to Noah/Shem; Flood close is an independent event boundary. Both500/100 and502/98 bindings remain valid; SP primary Noah death retains its inclusive/harmonic qualification. LXX native Cainan is ON; OFF is theoretical removal. Global paired Mirror January AD1; local junction January AD2; no civil year zero. No new source point, phase, fitted axis, upstream/cumulative Gear, primer reopening or canonical/graph edit. Capture now; canonize later. Coordinates, source labels, context aliases and derived comparisons remain distinct. Counts are not independent historical witnesses.
Best next bounded step
C478, proposed and unexecuted: Verify the decisive C470–C477 results using a separately written source-grid and integer-arithmetic implementation, then audit every sealed packet, predecessor link and publication receipt. Resolve discrepancies before the final synthesis.
The source-family and Mirror comparisons are now complete for this batch. A different implementation and sealed-packet audit are the appropriate next step before drawing together the findings and choosing any further research.