{
  "file_path": "D:\\Python\\Quantum\\research\\resources\\Von Mangoldt's Explicit Formula \u2014 Full Derivation.txt"
}

{
  "type": "text",
  "file": {
    "filePath": "C:\\Users\\lucky\\.nguyen\\projects\\D--Python-Quantum\\memory\\MEMORY.md",
    "content": "# Memory Index\n\n- [Staged multi-session workflow](user_workflow.md) \u2014 user works in stages with shutdowns; zero-rework persistence is mandatory; LaTeX + git + dual CSV/JSON+SQLite storage approved\n- [Research machine specs](project_machine_specs.md) \u2014 Ryzen 9 7945HX (16c/32t), 64GB RAM, RTX 4090 Laptop (CUDA 8.9); GPU for parallel float work, CPU-cores for mpmath; Turbo plan active\n- [Lambda AI cloud access](reference_lambda_cloud.md) \u2014 multi-GPU cloud available on request; user provisions SSH per workload (ask first, then take over)\n- [IBM Quantum access](reference_ibm_quantum.md) \u2014 available on request; no foreseeable need identified (RH compute is classical; Track B uses QM formalism, not quantum hardware)\n- [mpmath mp.dps setter broken](project_mpmath_dps_bug.md) \u2014 `mp.dps = X` silently keeps 53-bit doubles (mpmath 1.3 + Py 3.14); use `mp.mp.dps = X` for get AND set; E-001/002/007 unaffected\n- [Long runs must be detached](project_long_runs.md) \u2014 CLI kills Bash tasks at ~2\u201310 min; spawn long jobs with DETACHED_PROCESS + log file and poll (flint stieltjes ~k\u00b3)\n- [Website never writes research docs](feedback_website_readonly.md) \u2014 RH website (web/ + RH-WEBSITE.md) is read-only on the research archive; hard user rule 2026-08-19",
    "numLines": 9,
    "startLine": 1,
    "totalLines": 9
  }
}

{
  "file_path": "D:\\Python\\Quantum\\research\\resources\\Weil's Explicit Formula.txt"
}

{
  "type": "text",
  "file": {
    "filePath": "D:\\Python\\Quantum\\STATE.md",
    "content": "full tag). D-036 \u00a71 rewrite with the reference-point trick; D-039\nBinet/recurrence repairs; then 4.5b (symbolic concavity, routine).\n\n## COMPLETED (Sessions 001\u2013008)\n- [x] Phase 0, Phase 1 (Track A \u2192 monitoring mode, D-013).\n- [x] 2.6 V3 root-cause + repair (E-016b/c, D-025).\n- [x] 2.7 R-003 exact factorization (D-026, E-017/D-027, ledger #5).\n- [x] 2.8 a=12 no transition (E-018/D-028, backend v2, E-019/D-029).\n- [x] 1.6 \u03be\u2032-world saturated (E-020b/D-030); 1.7 T4b closed (D-031).\n- [x] 3.3 \u2192 G-003; 3.4 (Suzuki line spawned); 3.5 design (D-032/D-033).\n- [x] (\u2605) design (D-034/D-035); new tasks 2.9/2.10/2.11.\n- [x] 3.6 D-036 explicit contour constants (session 006 cont.9).\n- [x] 3.7 E-021 (session 007): S_\u221e exact + c\u2080, |S_f| curve, A/B\u2080\n      measured; 6-bug saga documented.\n- [x] Session 008: regroup; R7 resources atlas registered\n      (resources/index.md + manifest + D-001 pointer); **3.8 COMPLETE**:\n      D-037 (assembly + adversarial review), E-023 (M\u2080 = 1.3352 closes\n      D-036 |t|<10 gap; S_\u221e lower bound validated; N\u2080 = 5\u00d710\u2074),\n      R-004 filed (ledger #6). **2.10 COMPLETE**: E-022/E-022b (ALL\n      CHECKS PASS) + D-040 \u2014 spectral measures \u03bc_a computed a \u2264 12;\n      valley observable found (K_a(z,z) dips at true \u03b3's, \u0394(a) \u2248\n      3.33 \u2212 4.76/a SATURATES at fixed \u03b8=\u03c0); weights-not-positions\n      \u03b3-encoding (within-bin controlled); mass within \u00b10.1 of \u03b3's\n      63\u219272.5%; constraint on 2.9-D1 (\u03b8(a) must drive \u0394 \u2192 \u221e).\n      **2.9-D1 COMPLETE** (D-041: Theorem D1 + reduction \"(1.12) \u27fa\n      spec(D) \u2282 \u211d\"; lemma map L0\u2013L4; limit extension = \u03c0/2; \u03b8(a) flow\n      obligatory). **2.11 COMPLETE** (D-038: consolidation functional\n      R(a) = (aZ/\u03c0)e^{\u2212\u0394(a)}; onset \u0394\u2032 > 1/a; margin C(a) = \u0394 \u2212 log a\n      decreasing 0.77\u21920.46; a* > 12; fixed-\u03b8 consolidation impossible).\n      New task 2.12 (E-024 \u03b8-flow numerics) opened.\n      **2.12 COMPLETE** (E-024 ALL CHECKS PASS + D-042): \u03b8-independence\n      proved numerically (\u03b8-flow closed as consolidation channel);\n      linear-K law K_plateau \u2248 1.9a \u27f9 residual \u2192 Z/6 \u2260 0 (critical\n      equilibrium, margin C(a) \u2192 0.4); consolidation channel relocated\n      to \u03bb \u2192 \u03bb_a\u207b (Suzuki's lever; sister conjecture (1.2) regime).\n      **2.12 COMPLETE** (E-024 ALL CHECKS PASS + D-042): \u03b8-independence\n      proved numerically (\u03b8-flow closed as consolidation channel);\n      linear-K law K_plateau \u2248 1.9a \u27f9 residual \u2192 Z/6 \u2260 0 (critical\n      equilibrium, margin C(a) \u2192 0.4); consolidation channel relocated\n      to \u03bb \u2192 \u03bb_a\u207b (Suzuki's lever; sister conjecture (1.2) regime).\n      **2.13 COMPLETE** (E-025 + D-043): discretization floor found\n      (pencil bottom artifact crosses 0 at a \u2248 5.2, O(h)); \u03bb-flow\n      response confirmed but target mode at a \u2265 6 is the artifact mode;\n      **MAJOR CORRECTION: quadratic positional locking ~0.65/a\u00b2 is\n      REAL** (E-019's chance-level claim retracted \u2014 wrong-direction\n      metric; D-029/D-040 errata filed). Revised: obstruction =\n      excess-zero outflow + residual \u2192 Z/6.\n\n## NEXT ACTION\nSession 008 COMPLETE through: paper sub-stages 1\u20134 (valley-theorem\nsection added); L1 sketch; domain sweep; E-026 (parked); D-039\n(digamma PROVED \u2014 R-004 tag upgraded); D-049/D-050 (valley theorem +\nT2, complete); **D-051 (L3/L4: classical GF classes inapplicable,\ncorrect frame = Krein\u2013Langer continuation; L4 = (\u2605))**. The D1\nreduction chain is now fully assembled.\nNEXT STAGE CANDIDATE: **Phase 4 synthesis** (4.1\u20134.4: combine\nstrongest results, state best theorems, adversarial gauntlet incl.\nDavenport\u2013Heilbronn/Epstein sanity gate, stress tests) \u2014 the year's\nresults are ready for it. Or user direction.\n\n## OPEN CONJECTURES / THREADS\n- (\u2605) (R-003): central conjectural target (task 2.9).\n- Q-S1 (D-019 \u00a73): L\u00b2\u2192uniform lifting (Phase 4). Q-S2: \u210b(T_a) de\n  Branges (2.4). \u03b8(a) theory: must explain both metrics (D-028 F3) +\n  z\u2081\u00b7a\u22484.5 law.\n- Q6 (D-001); Q14 Gutzwiller (Phase 2); T2 Christoffel/CMS (D-006).\nCLOSED: T1, T3, T4, T4b (D-031), T5 (\u2192G-001), 3.4a/b/c, 3.3 (\u2192G-003),\n2.8 (D-029), 1.6 (D-030), 1.7 (D-031), 3.5-design (D-033), (\u2605)-design\n(D-035), 3.6 (D-036), 3.7 (E-021), 3.8 (D-037/R-004).\n\n## BLOCKERS\n(none)\n\n## HANDOFF NOTES\n- db.py: init, log-experiment, add-result, add-derivation, add-graveyard,\n  list. Row counts: recount from CSV after registration. Session\n  registration via direct sqlite3 insert (journal_file column).\n- venv: ./.venv/Scripts/python.exe. git: git -c user.name=\"NGUYEN-RH-1\"\n  -c user.email=\"research@local\" commit (config NOT modified).\n- LONG RUNS: DETACHED + sandbox DISABLED + log file; poll.",
    "numLines": 80,
    "startLine": 53,
    "totalLines": 161
  }
}

{
  "file_path": "D:\\Python\\Quantum\\research\\resources\\Bounding S(T).txt"
}