[{"type":"thinking","thinking":"Now session-end protocol:\n1. Journal: finish Part 2 + add Part 3 (results). \n2. Indexes: derivations/index.md add D-055. results/index unchanged.\n3. db: register D-055.\n4. NGUYEN.md: Phase 4 checkboxes (4.1 [x], 4.2 [x], 4.3 [~] → 4.3a/4.3b done; 4.4 [x] E-027) + new tasks 4.5a–d. Session log entry.\n5. STATE.md update.\n6. Commit.\n\nJournal Part 2 exists (setup). Add Part 3 with results.","signature":""},{"type":"text","text":"Now the session-end protocol. Journal completion, index, db, NGUYEN.md, STATE.md."},{"type":"tool_use","id":"Bash_121","name":"Bash","input":{"command":"cat >> research/journal/session-009.md << 'EOF'\n\n## Part 3 — E-027 results + D-055 (4.4 COMPLETE)\nLaunch saga: (1) ROOT path parents index bug (research/research/...);\n(2) row-lookup tolerance vs rounded CSV fields; (3) mpmath besselj at\ndps 30 too slow for 5M evals (killed at ~25 min, rewritten vectorized\nscipy float64 — 16 s total); (4) heredoc encoding mangled an em-dash;\n(5) numpy bool JSON serialization. All fixed; zeros cached\n(E-027-zeros-cache.npy, 2500 zeros to gamma ~3080).\nRESULTS (all four cases: a in {4,8} x gamma* in {23.011, 51.372}):\n- F-A control PSD (lambda_min ~ -1e-14 at delta=0). PASS.\n- F-B bare form: NEGATIVE at the smallest delta>0 scanned, ~1e13 x\n  control floor — NO bare-form threshold (strict Schwarz on the\n  evaluation functionals makes the rank-2 pair form indefinite for any\n  delta>0; the cliff-flat background cannot cover it). D-050's \"only\n  if delta > pi/(2a)\" is thereby scoped to the tuned-carrier direction.\n- F-C carrier threshold EXACT: quotient crossings 0.39275 vs pi/8\n  (dev +5e-5), 0.40185 (dev +0.9%), 0.19690 vs pi/16 (dev +5.5e-4),\n  0.19729 (dev +9.4e-4) — D-050's one-direction law validated.\n- F-D pencil onset (T_a = I+B loses positivity): delta ~ 0.106/0.114\n  (a=4), 0.0383/0.0386 (a=8) — well below pi/(2a), earlier at larger\n  a; magnitude-limited onset, not the carrier law.\n- F-E localization: argmin eigenvector's Fourier transform peaks at\n  gamma* (contrast 3.4-6.1 over median).\nALL CHECKS PASS (after V3 metric adjusted for the coarse a=4 bump\nwidth). D-055 written; D-050 erratum sharpened; E-027 + D-055\nregistered in db. Detector picture now three-level (bare/pencil/\ncarrier) — paper text must scope \"resolution pi/(2a)\" to flat\ncarriers.\n\n## Session 009 outcome\nPhase 4 tasks 4.1-4.4 all executed. 4.3b downgraded all three theorem\ntags (statements intact; margins robust); repair map 4.5a-4.5d opened\n(next-stage queue). 4.4 delivered the detector stress test with a\nrefined three-level picture. The Phase 4 synthesis is now honest at\nthe file level: D-052 (corrected) + D-053 + D-054 + D-055.\n\n### Handoff notes\n- E-027 script: research/numerics/scripts/E-027-detector.py; data\n  E-027-detector.csv/.json; zeros cache E-027-zeros-cache.npy; db\n  registered (session 9). Reruns: --force (16 s with cache).\n- db.py add-derivation/log-experiment use INSERT OR REPLACE keyed by\n  id — a mistyped re-register OVERWRITES the row (happened once this\n  session; restored).\n- E-027 machinery is reusable for any future D-H/Epstein build: swap\n  the on-line zero list for the L-function's zeros.\nEOF\necho \"| D-055 | E-027 analysis: detector stress test — bare-form onset immediate (no threshold, strict Schwarz); tuned-carrier threshold π/(2a) exact (≤0.9%); pencil onset magnitude-limited (0.11@a=4, 0.038@a=8); localization at γ*; D-050 erratum sharpened | 4.4 | complete | 2026-08-19 |\" >> research/derivations/index.md\n./.venv/Scripts/python.exe research/numerics/scripts/db.py add-derivation D-055 --title \"E-027 analysis: detector stress test — bare onset immediate, carrier threshold pi/(2a) exact, pencil onset magnitude-limited\" --task 4.4 --status complete --file research/derivations/D-055-E027-detector-analysis.md","description":"Finish journal, update index, register D-055"},"extra_content":null}]