{"id": "c477", "title": "Fixed Mirror Images of the Source-Qualified Noah-Held Family", "filename": "490d_C477_Fixed_Mirror_Images_of_the_Noah_Held_Family_20260925.md", "role": "Research action", "step": 477, "sha256": "66b5a5e1f6d110831c301418f845530188aab091ae15f9095d3e752b96838a56", "bytes": 3700, "origins": ["C01–C479/packets/C477/490d_C477_Fixed_Mirror_Images_of_the_Noah_Held_Family_20260925.md"], "download": "/sources/66b5a5e1f6d110831c301418f845530188aab091ae15f9095d3e752b96838a56.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Calendar Keys", "Mirror / 529"], "excerpt": "490d C477 — Fixed Mirror Images of the Source-Qualified Noah-Held Family\n\n25 September 2026 UTC. Step 8 of 10, C470–C479.\n\nThe finite test uses the nine source-endpoint cases from C476, both fixed exchanges $X_A(x)=A-x$ with $A=-2639,-2635$, and the unchanged48-record LXX cumulative menu. Algebraically,\n\n\\\nX_A\\circ E_h", "content": "# 490d C477 — Fixed Mirror Images of the Source-Qualified Noah-Held Family\n\n25 September 2026 UTC. Step 8 of 10, C470–C479.\n\nThe finite test uses the nine source-endpoint cases from C476, both fixed exchanges $X_A(x)=A-x$ with $A=-2639,-2635$, and the unchanged48-record LXX cumulative menu. Algebraically,\n\n\\[\nX_A\\circ E_h=E_{A-h}\\circ X_A.\n\\]\n\nAll18 trials satisfy this identity. The corresponding source requirements do not follow from it.\n\n| Regular input / held upper | A | Cumulative held pivot | Reflected lower path | Inherited cross-span |\n|---|---:|---:|---|---:|\n|2647 / 3705, companion|−2639|−6344|−5286→−5194†→−5094†|8991|\n|2648 / 3706, primary|−2639|−6345|−5287→−5195†→−5095†|**8993=17K**, i3|\n|2649 / 3707, companion|−2639|−6346|−5288→−5196†→−5096†|8995|\n|2650 / 3708, primary|−2639|−6347|−5289→−5197†→−5097†|8997|\n|2650 / 3708, primary|−2635|−6343|−5285→−5193†→−5093†|**8993=17K**, i5|\n\nA 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.\n\nAcross 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.\n\nThe 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.\n\n## Verification and scope\n\n64 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.\n\nThe 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.\n\nMirror/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.\n\n## Best next bounded step\n\n**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.\n\nThe 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.\n", "evidenceLinks": [{"id": "d-24203a4c3b282f9b", "title": "File 02"}]}