{"id": "c365", "title": "Cumulative and regular Noah 460-490-460 biography rectangles", "filename": "490d_C365_Cumulative_and_Regular_Noah_950_State_Rectangles_20260924.md", "role": "Research action", "step": 365, "sha256": "02638e1ec6837f9fcc127d5d4d7ef04008e117b4e4177d78f284f78ccbed1741", "bytes": 3589, "origins": ["C01–C479/packets/C365/490d_C365_Cumulative_and_Regular_Noah_950_State_Rectangles_20260924.md"], "download": "/sources/02638e1ec6837f9fcc127d5d4d7ef04008e117b4e4177d78f284f78ccbed1741.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Mirror / 529"], "excerpt": "490d C365 — Cumulative and regular Noah950 state rectangles\n\n24 September 2026. Step 2 of 10 in the C364–C373 authorization.\n\nThe cumulative and regular Noah fields share an exact460–490–460 interval structure. On the cumulative side, the four nodes are native-ON Noah birth, OFF Noah birth, native-ON Noah death/Shem se", "content": "# 490d C365 — Cumulative and regular Noah950 state rectangles\n\n24 September 2026. Step 2 of 10 in the C364–C373 authorization.\n\n**The cumulative and regular Noah fields share an exact460–490–460 interval structure.** On the cumulative side, the four nodes are native-ON Noah birth, OFF Noah birth, native-ON Noah death/Shem seam, and OFF Noah death/Shem seam. Both Noah biographies remain950 years.\n\n| First primary placement | Cumulative source coordinate | Regular counterpart |\n|---|---:|---:|\n| Native Noah birth / SP Noah birth |−7295 |3706 |\n| OFF Noah birth / restored-MT Noah birth |−6835 |3246 |\n| Native Noah death seam / SP Noah death |−6345 |2756 |\n| OFF Noah death seam / restored-MT Noah death |−5885 |2296 |\n\nRead the cumulative coordinates upward in time and the regular coordinates downward: each sequence has460,490,460 between successive nodes. This matches both950-year lifespans and the460 state difference.\n\nThe OFF Noah field6840–6833 BC was already derived and retained in C300. Native7300–7293 follows both from native Shem6350–6343 plus950 and from File_18’s LXX Lamech8053–8046 minus753. These are existing source-derived annual members, with that derivation retained; no lifespan, phase or anchor is adjusted. Engine Report III explicitly labels the Shem-birth/Noah-death seam. Coordinate coincidence does not identify those event roles.\n\nAll eight cumulative annual rectangles and all three primary regular Gear rectangles have this shape, giving24 interval correspondences. Their common coordinate-sum constants differ with the chosen annual/Gear pairing. These constants are recorded as diagnostics only; no new reflection axis is adopted.\n\nThe arithmetic basis is950 and460, with490=950−460. Repeated instances therefore share their source constants. The gain is a role-qualified cumulative counterpart to the regular Noah biography partition, rather than independent confirmation of the constants or an automatic selection of the529 rectangle.\n\n## Verification and limits\n\n45 main checks and 17 frozen-input/predecessor authentication checks passed. A second main replay produced byte-identical DATA/RESULTS. These checks and the source interpretation were performed by the root agent; no new independent-agent review is claimed. All frozen originals and standing controls remain unchanged. Verification counts are not independent-witness counts.\n\nSource-derived interval equivalence is not a global reflection action, an independent witness count, or a prescribed coupling of cumulative and regular states.\n\nMirror/529 focus: K=529, E=25/23, P=70/69. Global paired Mirror January AD1; local junction January AD2; no civil year zero. Regular Gears are Noah/Shem/Flood only. SP minus-one person companions remain local to SP Noah/Shem; Flood close is a separate boundary. No upstream/cumulative Gear, new endpoint or phase, fitted anchor, global axis, primer reopening, canonical or graph edit. Capture now; canonize later. Source identity, context, modal binding, generated coordinates and phase ancestry stay distinct.\n\n## Decision after this result\n\n**C366, proposed and unexecuted:** Bind the Noah rectangles to the four complete C287 rows. Determine which existing OFF annual members reproduce primary460/490 and companion459/491 partitions while preserving both950 lifespans, and test the inherited phase orientation.\n\nThe unrestricted interval shape is established. The next question fixes the original rectangle’s actual ancestry and tests the SP companion boundary rather than allowing arbitrary annual/Gear pairings.\n", "evidenceLinks": [{"id": "d-68301ab760bfbe2e", "title": "File 18"}]}