{"id": "c410", "title": "Complete regular-source domain of the fixed 500-year translation", "filename": "490d_C410_Complete_Regular_Source_Domain_of_Fixed_500_Translation_20260924.md", "role": "Research action", "step": 410, "sha256": "a863a0880a6fb99566ef170ecbd179b678b3670718c1163be5c31beacaf37726", "bytes": 4007, "origins": ["C01–C479/packets/C410/490d_C410_Complete_Regular_Source_Domain_of_Fixed_500_Translation_20260924.md"], "download": "/sources/a863a0880a6fb99566ef170ecbd179b678b3670718c1163be5c31beacaf37726.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Mirror / 529"], "excerpt": "490d C410 — Complete regular-source domain of the fixed 500-year translation\n\n24 September 2026. Step 7 of 10 in the C404–C413 authorization.\n\nThe complete fixed−500 census contains169 coordinate arrows and141 maximal nontrivial coordinate chains. One chain has four arrows; it depends on a single additional coordinate ", "content": "# 490d C410 — Complete regular-source domain of the fixed 500-year translation\n\n24 September 2026. Step 7 of 10 in the C404–C413 authorization.\n\n**The complete fixed−500 census contains169 coordinate arrows and141 maximal nontrivial coordinate chains. One chain has four arrows; it depends on a single additional coordinate bridge beyond the identified role relations.**\n\nAll373 regular coordinates were tested, with their528 original records retained. The169 arrows have392 labelled endpoint pairings; these are not392 independent relations. There are115 maximal one-arrow chains,25 two-arrow chains and one four-arrow chain;63 coordinates are isolated.\n\n|Labelled pairing class|Count|\n|---|---:|\n|Same-family Noah birth→Shem birth|96|\n|Same-family Flood start→primary/native Shem death|72|\n|SP Flood close→companion Shem death|24|\n|SP primary/LXX Shem death→same-context MT Noah death|48|\n|Other labelled pairings, including coordinate aliases|152|\n\nThe first four classes account for168 of the169 coordinate arrows. Of the152 other labelled pairings,150 occur on those already represented coordinates. The remaining two are the SP and LXX labels of the single new coordinate arrow3395→2895.\n\nThat arrow joins the longest coordinate chain:\n\n**3895→3395→2895→2395→1895**, in four500-year steps.\n\nIts first two points are SP companion Noah and Shem births inG1/Cainan-ON/Terah60/full430. The2895 point is SP or LXX Cainan-OFF Flood start inG3/base-Terah/half430;2395 has the corresponding Shem-death labels;1895 is MT Noah death in that latter context. This is a sequence of source comparisons across explicit contexts, not one2000-year biography.\n\nCoordinate adjacency alone can also join different source identities. For example,3120 occurs as both an SP-companion Shem birth and an MT Noah birth, allowing the coordinate chain3620→3120→2620. The ledger retains both identities and does not silently identify them. Determining which full chains lift to continuous labelled comparisons, and exactly what forces the new3395→2895 bridge, is the next bounded task.\n\nThis census fixes the operation at−500 throughout. It searches no alternative shifts and adds no endpoint, phase or canonical graph edge.\n\n## Verification and limits\n\n3 main checks and 15 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\nAll counts refer to the frozen register and one fixed translation. Coordinate aliases, record pairings and repeated routes are not independent historical witnesses; no global translation action is established.\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**C411, proposed and unexecuted:** Audit the unique3395→2895 bridge from the source context formula and test continuous record-labelled path lifts of the500 graph. Separate the existing role-defined arrows from the new cross-context comparison, verify its phase conditions, and determine whether the four-step coordinate chain survives without switching identities at shared coordinates.\n\nThe census found one concrete extension and also exposed the risk of joining different source identities by equal coordinates. Its source formula and actual path lift should be settled before interpreting the2000-year chain.\n"}