[{"type":"thinking","thinking":"CSV confirms V5 uses 8.38 correctly (H_high ratios 0.12–0.13). The print-line hardcode is cosmetic — fix it quickly for record honesty, then commit DL-3 with the D-074 log + NGUYEN.md + STATE updates.","signature":""},{"type":"text","text":"CSV is correct (8.38 charged). Fixing the cosmetic hardcode in the log line, then the D-074/NGUYEN.md/STATE updates and the DL-3 commit."},{"type":"tool_use","id":"Edit_335","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\research\\numerics\\scripts\\E-034-dogleg-validation.py","old_string":"        print(f\"n={n}: identity resid={mp.nstr(resid, 2)} (tol {mp.nstr(tol, 2)}) | \"\n              f\"V_left {mp.nstr(abs(Vl2), 4)}/{mp.nstr(vlb, 4)} | \"\n              f\"H_high {mp.nstr(abs(Hhigh2), 4)}/5.94 | \"\n              f\"V_right {mp.nstr(abs(Vr2), 3)}/{mp.nstr(vrb, 3)} | \"\n              f\"H_low {mp.nstr(abs(Hlow2), 4)}/{mp.nstr(dlr, 4)}\", flush=True)","new_string":"        print(f\"n={n}: identity resid={mp.nstr(resid, 2)} (tol {mp.nstr(tol, 2)}) | \"\n              f\"V_left {mp.nstr(abs(Vl2), 4)}/{mp.nstr(vlb, 4)} | \"\n              f\"H_high {mp.nstr(abs(Hhigh2), 4)}/{mp.nstr(HHIGH, 4)} | \"\n              f\"V_right {mp.nstr(abs(Vr2), 3)}/{mp.nstr(vrb, 3)} | \"\n              f\"H_low {mp.nstr(abs(Hlow2), 4)}/{mp.nstr(dlr, 4)}\", flush=True)"},"extra_content":null},{"type":"tool_use","id":"Edit_336","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\research\\derivations\\D-074-dogleg-repair.md","old_string":"- 2026-08-25 (session 040): **DL-2 COMPLETE** — the V_left bound in\n  LiDogLeg.lean (+~250 lines; full build GREEN 8773 jobs; audit\n  extended: 13 decls, 3 standard axioms only, 0 sorryAx):","new_string":"- 2026-08-25 (session 040): **DL-3 COMPLETE** — the H_high stepping\n  bound in LiDogLeg.lean (+~430 lines; full build GREEN 8773 jobs;\n  audit: 21 decls, 3 standard axioms only, 0 sorryAx):\n  `norm_term_vonMangoldt_le_two_pow` + `norm_logDeriv_zeta_le_two_pow`\n  (the (6.10) halving in LSeries form: ‖ζ′/ζ(σ+it)‖ ≤\n  2^{−(σ−2)}·dirichletC2), `one_add_div_pow_norm_le_exp_four_ninths`\n  (the kernel envelope ‖(1+1/((σ−1)+iU))ⁿ‖ ≤ e^{(4/9)σ} for σ ≥ 3,\n  n ≤ (4/9)U² — the (6.11) core, single-exponential form replacing\n  the unit-step geometric series), `Jlag_dogleg_norm_le_envelope`\n  (‖Jlag‖ ≤ dirichletC2·(4e^{−cσ} + 4·2^{−σ}), c = log2 − 4/9 — the\n  product collapses to ONE exponential), `integral_exp_neg_le` (the\n  FTC machine ∫₃^XR e^{−cσ}dσ ≤ e^{−3c}/c), `cdog_gt` (c ≥ 0.2487,\n  d9 log 2), `exp_four_thirds_le` (e^{4/3} ≤ 3.8073, the\n  (1−x/16)⁻¹⁶ route), and the CAPSTONE\n  **`hIntegral_Jlag_dogleg_norm_le`: ‖HIntegral (Jlag n) 3 XR U‖ ≤\n  8.38** for 0 < U, n ≤ (4/9)U² (i.e. U ≥ (3/2)√n), 3 ≤ XR —\n  NO perimeter. Charged 8.38 = 3.8073/(2·0.2487) + 0.7214 with\n  dirichletC2 ≤ 1 (the tight R(1.5) = 5.94 needs a dirichletC2 ≤ 0.57\n  build — documented tightening path; the fold is indifferent: Δ ≈\n  +2.4/side ≈ +5 at the base points). **E-034 re-validated at the\n  Lean-charged constants (C_zeta3 = 0.5, HHigh = 8.38): ALL CHECKS\n  PASS** (margins 13 160/88 911/2.458e26 at 8e4/10⁵/N₁ = 9×10²⁴;\n  fold fit 0.3986). Banked (see the full list below): the ∫+∫\n  notation absorbs the second integral into the first integrand\n  (parens around EACH ∫); field_simp's `.ne'` projection goes INSIDE\n  the bracket; Real.rpow_two; div_le_div₀; Real.exp_half for\n  √(exp x); intervalIntegral.integral_nonneg/integral_const_mul/\n  norm_integral_le_of_norm_le(_const); rpow vs npow in LSeries terms.\n  Next: DL-4 (V_right ≤ IIMaj/4 — the far-right vertical drop).\n- 2026-08-25 (session 040): **DL-2 COMPLETE** — the V_left bound in\n  LiDogLeg.lean (+~250 lines; full build GREEN 8773 jobs; audit\n  extended: 13 decls, 3 standard axioms only, 0 sorryAx):"},"extra_content":null}]