{"id": "c416", "title": "Coherent four-station SP companion to MT 2K profile", "filename": "490d_C416_Coherent_Four_Station_SP_Companion_MT_2K_Profile_20260924.md", "role": "Research action", "step": 416, "sha256": "8c75beb21a614f1290f52f8369e4a2abf3293ece14e918cddb18ce5d9ce0b63e", "bytes": 3041, "origins": ["C01–C479/packets/C416/490d_C416_Coherent_Four_Station_SP_Companion_MT_2K_Profile_20260924.md"], "download": "/sources/8c75beb21a614f1290f52f8369e4a2abf3293ece14e918cddb18ce5d9ce0b63e.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Mirror / 529"], "excerpt": "490d C416 — Coherent four-station SP companion–MT 2K profile\n\n24 September 2026. Step 3 of 10 in the C414–C423 authorization.\n\nAll four same-role person stations differ by1058=2K. The upper context is SP companion Gear3, CainanON, Terah+60, full430. The lower context is MT Gear1, CainanOFF, Terah0, short sojourn.\n\n| St", "content": "# 490d C416 — Coherent four-station SP companion–MT 2K profile\n\n24 September 2026. Step 3 of 10 in the C414–C423 authorization.\n\n**All four same-role person stations differ by1058=2K.** The upper context is SP companion Gear3, CainanON, Terah+60, full430. The lower context is MT Gear1, CainanOFF, Terah0, short sojourn.\n\n| Station | SP companion | MT | Difference |\n|---|---:|---:|---:|\n|Noah birth|3899|2841|1058|\n|Shem birth|3399|2341|1058|\n|Noah death|2949|1891|1058|\n|Shem death|2799|1741|1058|\n\nThus the fixed translation t→t−1058 preserves both complete endpoint lifespans: Noah950 and Shem600. It also preserves their500-year birth interval, the1100-year Noah-birth/Shem-death span, Shem-birth/Noah-death450, and the150-year death interval. The four matches are consequences of one coherent source-context offset, not four independent witnesses.\n\nThe source arithmetic is650+130+60+215+4−1=1058: SP-primary/MT baseline difference650, Cainan130, Terah60, sojourn215, Gear3/Gear1 difference4, and the local SP person companion−1. This use of the companion is permitted for both Noah and Shem. It does not export the companion to MT or LXX.\n\nC415 supplied the two contexts before this check. No context was changed to make an individual station fit. The result is a finite, biography-preserving person-profile translation. Flood start and close are not among the four stations and still require their own source-label test. A complete census of other context pairs has not yet been done in this step.\n\n## Verification and limits\n\n25 main checks and 14 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\nThis preserves endpoint biographies in a finite source menu. It neither prescribes a chronology operator nor establishes historical intention or a global Mirror axis.\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**C417, proposed and unexecuted:** Census every unordered pair of the96 regular person contexts without prefiltering tradition, rail, variants or Gear, and determine whether any other complete same-role four-station profile has difference2K.\n\nThe complete profile is stronger than isolated endpoints; an unfiltered family census now determines its finite uniqueness and which source choices are necessary.\n"}