{"id": "c368", "title": "Noah19K and joined-map selector intersection", "filename": "490d_C368_Noah_19K_and_Joined_Map_Selector_Intersection_20260924.md", "role": "Research action", "step": 368, "sha256": "6c55b7af739ebe270c16fc489edbe8b03ea56b3f36aa79c53ca8e377ba54840c", "bytes": 3148, "origins": ["C01–C479/packets/C368/490d_C368_Noah_19K_and_Joined_Map_Selector_Intersection_20260924.md"], "download": "/sources/6c55b7af739ebe270c16fc489edbe8b03ea56b3f36aa79c53ca8e377ba54840c.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Mirror / 529"], "excerpt": "490d C368 — Noah19K and joined-map selector intersection\n\n24 September 2026. Step 5 of 10 in the C364–C373 authorization.\n\nThe fixed19K whole-Noah criterion selects cumulative a=2; the joined regular criterion selects primary b=2. Their conjunction retains22:i3/i5 in the held C319 slice.\n\n| Criterion | Source-admitted ", "content": "# 490d C368 — Noah19K and joined-map selector intersection\n\n24 September 2026. Step 5 of 10 in the C364–C373 authorization.\n\n**The fixed19K whole-Noah criterion selects cumulative a=2; the joined regular criterion selects primary b=2.** Their conjunction retains22:i3/i5 in the held C319 slice.\n\n| Criterion | Source-admitted controls |\n|---|---|\n| Native Noah950 transported by fixed19K |20:i3,i4,i5;22:i3,i4,i5 |\n| Regular joined460/598→500/600 mapping |02:i3,i5;22:i3,i5 |\n| Both |22:i3,i5 |\n\nFor every control, the required whole-Noah translation is `N−S=19K+2−a`. The950 lifespan moves both endpoints together, so it does not add another condition to that long cross-span. Since `N−S=17K+(q−S)`, requiring19K is equivalent to requiring the cumulative2K side. The biography result gives this condition a source-role interpretation; it does not establish a new independent selection rule.\n\nThe native Noah member is available exactly where the inherited cumulative annual domain permits it. Source-invalid edge controls remain excluded. C287’s complete i2 companion row remains retained outside this C319i3…7 slice; no broader exclusion is inferred.\n\nThe new source interpretation is therefore useful but bounded: two separate numerical/source comparisons meet at the existing primary22 choices, while no reviewed instruction prescribes their conjunction. The two950 biographies in each Cainan/context field also allow a direct test of whether one19K translation can carry both states together.\n\n## Verification and limits\n\n44 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\nThe conjunction remains conditional on the stated criteria. A source-role interpretation does not turn a numerical condition into a textual prescription.\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**C369, proposed and unexecuted:** Construct the complete2×2 matrix of lifespan-preserving translations between the two cumulative Noah states and the SP/restored-MT Noah biographies at each complete C287 row. Keep the companion annual-index adjustment explicit, and reduce the bridge lengths modulo529.\n\nA single native lifespan transports successfully, but carrying both source states may require different bridge constants. The finite matrix can expose that dependence and its529 arithmetic without introducing new endpoints.\n"}