{"id": "c335", "title": "Two-year coordinate directions and held endpoints", "filename": "490d_C335_Two_Year_Coordinate_Directions_and_Endpoint_Footprints_20260924.md", "role": "Research action", "step": 335, "sha256": "8900ff81f2f1083182a8c0c17e631ffaffb86abdab496241a9247a4d540a737d", "bytes": 3483, "origins": ["C01–C479/packets/C335/490d_C335_Two_Year_Coordinate_Directions_and_Endpoint_Footprints_20260924.md"], "download": "/sources/8900ff81f2f1083182a8c0c17e631ffaffb86abdab496241a9247a4d540a737d.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Mirror / 529"], "excerpt": "490d C335 — Two-year coordinate directions and held endpoints\n\n24 September2026. Step2 of10 in the C334–C343 authorization.\n\nThe two displayed +2 choices move their underlying BC bases in opposite directions. They are equal changes in the mixed comparison coordinates, not a demonstrated common source-state motion.\n\nUse", "content": "# 490d C335 — Two-year coordinate directions and held endpoints\n\n24 September2026. Step2 of10 in the C334–C343 authorization.\n\n**The two displayed +2 choices move their underlying BC bases in opposite directions.** They are equal changes in the mixed comparison coordinates, not a demonstrated common source-state motion.\n\nUse the inherited order (S,q,R,n): cumulative ON-Shem, cumulative OFF-Flood, reflected restored-MT Flood, reflected SP Noah. Converting changes back to BC magnitudes reverses the first two signs and retains the last two. This is a statement about the stored comparison coordinates, not a new civil-year-zero convention.\n\n| Choice | Change in (S,q,R,n) | Change in underlying BC bases | Effect |\n|---|---|---|---|\n| a:0→2 | (2,0,0,0) | (−2,0,0,0) | ON-Shem moves later; left short span shrinks by2 |\n| b:0→2 | (0,0,2,0) | (0,0,2,0) | MT Flood moves earlier; right short span shrinks by2 |\n| both | (2,0,2,0) | (−2,0,2,0) | S→R stays17K; both short spans1060→1058 |\n\nAll twelve single-choice transitions with both ends source-admitted were checked, together with both inherited quarter-year components. The three admissible 00→22 transitions are i3,i4,i5. At i6,i7, the required upper cumulative/regular states remain unavailable; they were not created to complete the pattern.\n\nC334's opposite father/son source directions do not themselves prove this pairing: the endpoints here are cumulative Shem and regular Flood, with different profiles and output conventions. Nor does holding q and n invalidate the comparison. It does mean that the comparison must not be called a whole-chain or whole-biography motion without explicitly tracking the other source endpoints.\n\nThe next question is therefore a lift to complete, already admitted source pairs: what happens when the cumulative partner and the regular Noah partner move coherently with the selected Shem and Flood?\n\n## Verification and limits\n\n59 main checks and 16 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\nOnly C319 admitted transitions and inherited phases are tested. Common origin is retained; no equation of differently typed source operations is inferred.\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**C336, proposed and unexecuted:** Lift each endpoint choice to its complete existing source pair: cumulative ON-Shem/ON-Flood at one annual index, and restored MT Noah/Flood at one Gear. Track the companions that a coherent operation moves, keeping all existing source domains fixed.\n\nThe sign audit resolves one ambiguity but leaves scope unresolved. Checking complete source pairs will distinguish a valid cross-profile endpoint selection from a whole-source motion.\n"}