{"id": "c379", "title": "Source contexts and Mirror coupling of all common P/J hits", "filename": "490d_C379_Common_P_J_Source_Contexts_and_Mirror_Coupling_20260924.md", "role": "Research action", "step": 379, "sha256": "0b9ccc8d9cad0d8867ba29fe7e1d648a3bbbc345076fd3b14d8f7c23f3ea779b", "bytes": 3907, "origins": ["C01–C479/packets/C379/490d_C379_Common_P_J_Source_Contexts_and_Mirror_Coupling_20260924.md"], "download": "/sources/0b9ccc8d9cad0d8867ba29fe7e1d648a3bbbc345076fd3b14d8f7c23f3ea779b.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Mirror / 529"], "excerpt": "490d C379 — Common P/J source contexts and Mirror coupling\n\n24 September 2026. Step 6 of 10 in the C374–C383 authorization.\n\nAll four regular common-image quadruples have coherent source context, but only the original full430 pair couples to the retained17K Mirror spans. Their inputs and outputs are restored-MT Noah bi", "content": "# 490d C379 — Common P/J source contexts and Mirror coupling\n\n24 September 2026. Step 6 of 10 in the C374–C383 authorization.\n\n**All four regular common-image quadruples have coherent source context, but only the original full430 pair couples to the retained17K Mirror spans.** Their inputs and outputs are restored-MT Noah births in adjacent Gears. Both pivots are Flood starts in the output Gear.\n\nThe J pivot shares the MT input/output context: Cainan ON, Terah+60 and the same full430 branch. Each P pivot has two source aliases: native SP and Cainan-OFF LXX, both without Terah+60 and with the same full430 branch. Their preceding-Gear Noah births likewise co-register. Matching the counterpart tradition between its Noah and Flood records gives eight labelled context lifts of the four coordinate configurations.\n\nIn every configuration the counterpart Noah-to-MT Noah segment is460, equal to the pivot separation. Its whole side is460+598=1058 and its repaired partition458+600. This verifies the source condition needed for the529m side; it is not supplied by the integer formula alone.\n\n| Branch | Input/output MT Noah pairs | P/J local geometry | Original cumulative17K pairing |\n|---|---|---|---|\n|full430=1|3246→3248;3248→3250|Preserved|i=3 and i=5 respectively|\n|full430=0|3031→3033;3033→3035|Uniform215-year translation|None in the six cumulative repairs|\n\nAll five relevant regular coordinates in each lower-branch configuration are215 below the matching full430 configuration. Local durations therefore remain unchanged. Holding the cumulative sources fixed reduces the cross-field spans by215, so the translated local geometry does not supply another original17K rectangle.\n\nThe complete cross-field test uses six cumulative repairs against four regular configurations:24 coordinate pairings. Exactly two retain both2K sides and both17K cross-spans. The SP/LXX source aliases do not multiply that coordinate result into independent witnesses.\n\nThe remaining question is composability. The regular repair output can become the next Gear’s repair input after moving both pivots; the cumulative menu also contains neighbouring two-year repairs. Whether such source paths can remain inside the same529 Mirror conditions has not yet been established.\n\n## Verification and limits\n\n51 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\nContext translations and tradition aliases reproduce local geometry but are not independent witnesses or permission to change the original cross-field anchoring. No cumulative215 shift is introduced.\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**C380, proposed and unexecuted:** Build the finite source paths obtained by composing the common P/J edges while retaining each edge’s actual Flood pivots. Determine maximal path lengths, source ancestry and the pivot changes needed for continuation; do not extend the source domains.\n\nThe local census is now source-qualified. Its endpoint overlaps permit a bounded test of repeated application, which can distinguish a moving-pivot source path from iteration of one fixed map.\n"}