[{"type":"thinking","thinking":"Index and db updated. Now update STATE.md NEXT ACTION to point at the D-073 file as the concrete resume anchor (replacing the vague \"thread prompt (agreed 2026-08-25)\" reference).","signature":""},{"type":"text","text":"Now point STATE.md at the concrete mission file."},{"type":"tool_use","id":"Edit_24","name":"Edit","input":{"replace_all":false,"file_path":"D:\\Python\\Quantum\\STATE.md","old_string":"the checklist entry in NGUYEN.md §5 Phase 5B and the thread prompt\n(agreed 2026-08-25; scope: focused re-proof of ONLY the right part of\nthe horizontal segments — read D-072, the paper pp. 27–29, D-071,\nE-031 first). Deliverables: E-032 verdict (per-side claim FALSE vs\nhidden cancellation at T = √n) → D-073 (dependency audit + corrected\nstepping at T = c√n with explicit constants + recommended c +\nconsequence audit + cross-validation) → drafts for the letter/\nfinding-note (correspondence files untouched). Then main line\nexecutes repair (R): 8-step protocol re-run at the chosen c → ii′-6-c.\nFreeze protocol remains in force.","new_string":"the checklist entry in NGUYEN.md §5 Phase 5B and the PERSISTED thread\nprompt **research/derivations/D-073-fd-horizontal-repair.md §0** (the\nmission section IS the full prompt — read it first; no prompt\ninjection needed). Deliverables: E-032 verdict (per-side claim FALSE\nvs hidden cancellation at T = √n) → D-073 §§2–8 (dependency audit +\ncorrected stepping at T = c√n with explicit constants + recommended\nc + consequence audit + cross-validation) → drafts for the letter/\nfinding-note (correspondence files untouched). Then main line\nexecutes repair (R): 8-step protocol re-run at the chosen c → ii′-6-c.\nFreeze protocol remains in force."},"extra_content":null}]