← Session 14 — Phase 5 kickoff: paper draft + honesty audit
thinking (54 chars)
Clean compile, 12 pages now. Write D-060 audit report.
Clean (12 pages). Writing D-060, the audit report.
tool: Write
input
{
"file_path": "D:\\Python\\Quantum\\research\\derivations\\D-060-paper-honesty-audit.md",
"content": "# D-060 \u2014 Phase 5.4: full honesty audit of draft.tex\nDate: 2026-08-19 | Session: 010 | Task: 5.4\nStatus: complete. Method: four independent read-only audit instances\n(claim lists extracted from draft.tex, each verified against the\narchive with file:line evidence), adjudicated by hand. Draft\ncorrected; archive errata filed; paper recompiled clean (12 pp).\n\n## 1. Verdict summary\n~55 claims audited across abstract, Introduction, Background (\u00a72),\nResults (\u00a73.1\u20133.3), Obstructions (\u00a74), Appendices A\u2013B.\n- SUPPORTED as written: ~45.\n- MISSTATED in draft (all corrected same session): 10 items (\u00a72).\n- UNSUPPORTED: 0.\n- Archive-side defects found (errata filed in place): 7 items (\u00a73).\n- One suspected contradiction (profile envelope vs floor) REFUTED:\n sinc(0) = 1, so the envelope at z = \u03b3 evaluates to\n \u2248 1 \u2212 1/(2a), matching the floor lower bound. Clarifying\n parenthetical added to the draft.\n\n## 2. Draft corrections applied (all in draft.tex, session 010)\n1. \u00a72: \"triangle window\" \u2192 flat window \u03c8\u2080 = 1_[\u2212\u00bd,\u00bd] (D-002:91,\n D-004:71; the triangle is the autocorrelation \u03c8\u2080\u2217\u03c8\u2080). [factual error]\n2. \u00a72: \"verified symbolically to 60 digits\" \u2192 \"verified symbolically\n and against 60-digit reference values (E-001)\" \u2014 E-001 json records\n dps = 50 working precision vs a 60-digit reference check.\n3. \u00a72: sanity-gate scope \"on every new criterion\" \u2192 \"each of the three\n main theorems \u2026 (D-053)\" (gate was applied to T-1/T-2/T-3).\n4. \u00a73.1 Step 2: B(n) tail \"+ o(1)\" \u2192 \"+ I_I + 1\" with both terms\n identified (D-037:99 \u2014 the archive bound has explicit remainders,\n not o(1)).\n5. Abstract item (2) tag: now states explicitly that the reduction of\n the limit formula to a real-spectrum statement is proved, while\n recovery of the limit formula from the real-spectrum property is a\n proof skeleton.\n6. \u00a73.2 reduction paragraph: \u27fa split \u2014 \"(1.12) only if spec(D) \u2282 \u211d\"\n [PROVED via Suzuki Cor 1.6 + D1]; converse = SKELETON (L3/L4,\n D-051). Matches STATE.md tags; the draft previously presented the\n biconditional as proved. [most serious finding]\n7. \u00a73.2 Finding 1: depth wording \u2014 \"\u0394(a) \u2248 log a + 0.64\" was the fit\n for log K_plateau (D-042), not for \u0394. Draft now cites the valley\n theorem asymptotic \u0394(a) = log(2a) + o(1) and the direct five-point\n fit \u0394(a) \u2248 3.33 \u2212 4.76/a (D-040); plateau ratios 0.973\u20130.997 added.\n8. \u00a73.2 Finding 4: clarified that \"< 3\u00d710\u207b\u00b9\u00b2 at a = 2\" is the D-046\n floor-corrected bound on the true \u03bb_a; raw Galerkin values\n (7.4\u00d710\u207b\u00b9\u00b9 at a = 2, 1.7\u00d710\u207b\u00b9\u00b2 at a = 5) are upper bounds.\n9. \u00a73.3 detector remark + Appendix A: \"measured to 0.9%\" \u2192 \"crossings\n within 0.02%\u20132.3% of \u03c0/(2a), three of four cases within 0.5%\"\n (E-027 V2c data; the a=4, \u03b3\u224851.4 case deviates 2.33%). Also scoped:\n the stress test ran at a \u2208 {4,8}; the a = 12 scale comes from the\n E-022/E-024 spectral-measure program.\n10. Appendix A: \"floors \u2248 1.04\" \u2192 \"floors \u2248 1 (measured 0.90\u20131.26,\n a = 4\u202612)\" (E-022b raw); \"residual spread \u2264 2.2%\" \u2192 \"at most\n 2.23%\" (E-024 exact max); \"\u03bb\u2081 to 102 digits\" \u2192 \"agreeing with its\n closed form to better than 10\u207b\u00b2\u2078 relative\" (the automated check\n threshold; 102 digits was the reference-string precision).\n\n## 3. Archive errata filed (in place, dated, referencing this file)\n1. R-004: updated to post-repair state \u2014 step 3 constants\n A = 10.5/B\u2080 = 48 (was A = 2.0/B\u2080 = 2.0); step 5 N\u2080 = 8\u00d710\u2074,\n margin 16 020, convexity PROVED (D-057/E-029); step 6 overlap 6.25\u00d7\n (was 10\u00d7); adversarial-review H2 digamma link now PROVED (D-056);\n header convexity line updated.\n2. D-036 \u00a76: sign erratum \u2014 S_\u221e correction is \u22121/(24n), not +1/(24n)\n (the file's own residual list proves it: \u22120.2500417 at n = 1000).\n3. D-056 title: stale constants \"A = 6.0, B\u2080 = 40\" \u2192 A = 10.5, B\u2080 = 48.\n4. D-055 F-C: \"deviations \u2264 0.9%\" erratum \u2014 correct: 0.02%\u20132.3%\n relative (three of four \u2264 0.5%).\n5. D-058 (L3): same 0.9% erratum, pointer to D-055.\n6. D-042 \u00a72: linear-K law superseded by D-045 \u2014 plateau K/(2a) \u2192 1\n (measured 0.973\u20130.997); the \"1.9a to 0.3%\" fit does not survive\n re-checking against the file's own raw values (K/a = 1.95\u20131.99);\n residual asymptotic Z/(2\u03c0), not Z/6.\n7. D-043 \u00a7D item 3: residual \"\u2192 Z/6\" erratum \u2192 Z/(2\u03c0) per D-045;\n qualitative conclusion (nonzero residual equilibrium = the\n obstruction) unchanged.\n\n## 4. Residual known limitations (carried knowingly, tagged in draft)\n- M\u2080 = 1.3352 remains grid-verified (E-023 S1 + Lipschitz); acb box\n cover upgrade = E-023b (optional, queued).\n- Valley-theorem general floor carries the non-degeneracy condition\n \u2016G\u207b\u00b9\u2016\u2016k\u2016\u00b2 \u2264 a (D-058:20); draft covers it as \"explicit\n local-configuration constant\".\n- Appendix B claim \"no model-space/RKHS infrastructure in Mathlib\" is\n plausible-but-unverified from the archive (worded as a project\n assessment).\n- E-027 heights quoted as 23.0/51.4 are rounded mid-gap targets\n (actual peaks 22.5\u201323.3, 50.9\u201351.1 depending on case).\n\n## 5. Conclusion\nAfter the \u00a72 corrections, every claim in draft.tex is either\n[PROVED]/[PROVED-CONDITIONAL] with the archive chain cited,\n[NUMERICAL] with the experiment id cited, or explicitly tagged as\nskeleton/measured. Task 5.4 (final honesty audit) is COMPLETE for the\ncurrent draft state; any future edit to draft.tex invalidates this\naudit only for the edited lines.\n"
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raw content_json (database row)
[{"type":"thinking","thinking":"Clean compile, 12 pages now. Write D-060 audit report.","signature":""},{"type":"text","text":"Clean (12 pages). Writing D-060, the audit report."},{"type":"tool_use","id":"Write_61","name":"Write","input":{"file_path":"D:\\Python\\Quantum\\research\\derivations\\D-060-paper-honesty-audit.md","content":"# D-060 — Phase 5.4: full honesty audit of draft.tex\nDate: 2026-08-19 | Session: 010 | Task: 5.4\nStatus: complete. Method: four independent read-only audit instances\n(claim lists extracted from draft.tex, each verified against the\narchive with file:line evidence), adjudicated by hand. Draft\ncorrected; archive errata filed; paper recompiled clean (12 pp).\n\n## 1. Verdict summary\n~55 claims audited across abstract, Introduction, Background (§2),\nResults (§3.1–3.3), Obstructions (§4), Appendices A–B.\n- SUPPORTED as written: ~45.\n- MISSTATED in draft (all corrected same session): 10 items (§2).\n- UNSUPPORTED: 0.\n- Archive-side defects found (errata filed in place): 7 items (§3).\n- One suspected contradiction (profile envelope vs floor) REFUTED:\n sinc(0) = 1, so the envelope at z = γ evaluates to\n ≈ 1 − 1/(2a), matching the floor lower bound. Clarifying\n parenthetical added to the draft.\n\n## 2. Draft corrections applied (all in draft.tex, session 010)\n1. §2: \"triangle window\" → flat window ψ₀ = 1_[−½,½] (D-002:91,\n D-004:71; the triangle is the autocorrelation ψ₀∗ψ₀). [factual error]\n2. §2: \"verified symbolically to 60 digits\" → \"verified symbolically\n and against 60-digit reference values (E-001)\" — E-001 json records\n dps = 50 working precision vs a 60-digit reference check.\n3. §2: sanity-gate scope \"on every new criterion\" → \"each of the three\n main theorems … (D-053)\" (gate was applied to T-1/T-2/T-3).\n4. §3.1 Step 2: B(n) tail \"+ o(1)\" → \"+ I_I + 1\" with both terms\n identified (D-037:99 — the archive bound has explicit remainders,\n not o(1)).\n5. Abstract item (2) tag: now states explicitly that the reduction of\n the limit formula to a real-spectrum statement is proved, while\n recovery of the limit formula from the real-spectrum property is a\n proof skeleton.\n6. §3.2 reduction paragraph: ⟺ split — \"(1.12) only if spec(D) ⊂ ℝ\"\n [PROVED via Suzuki Cor 1.6 + D1]; converse = SKELETON (L3/L4,\n D-051). Matches STATE.md tags; the draft previously presented the\n biconditional as proved. [most serious finding]\n7. §3.2 Finding 1: depth wording — \"Δ(a) ≈ log a + 0.64\" was the fit\n for log K_plateau (D-042), not for Δ. Draft now cites the valley\n theorem asymptotic Δ(a) = log(2a) + o(1) and the direct five-point\n fit Δ(a) ≈ 3.33 − 4.76/a (D-040); plateau ratios 0.973–0.997 added.\n8. §3.2 Finding 4: clarified that \"< 3×10⁻¹² at a = 2\" is the D-046\n floor-corrected bound on the true λ_a; raw Galerkin values\n (7.4×10⁻¹¹ at a = 2, 1.7×10⁻¹² at a = 5) are upper bounds.\n9. §3.3 detector remark + Appendix A: \"measured to 0.9%\" → \"crossings\n within 0.02%–2.3% of π/(2a), three of four cases within 0.5%\"\n (E-027 V2c data; the a=4, γ≈51.4 case deviates 2.33%). Also scoped:\n the stress test ran at a ∈ {4,8}; the a = 12 scale comes from the\n E-022/E-024 spectral-measure program.\n10. Appendix A: \"floors ≈ 1.04\" → \"floors ≈ 1 (measured 0.90–1.26,\n a = 4…12)\" (E-022b raw); \"residual spread ≤ 2.2%\" → \"at most\n 2.23%\" (E-024 exact max); \"λ₁ to 102 digits\" → \"agreeing with its\n closed form to better than 10⁻²⁸ relative\" (the automated check\n threshold; 102 digits was the reference-string precision).\n\n## 3. Archive errata filed (in place, dated, referencing this file)\n1. R-004: updated to post-repair state — step 3 constants\n A = 10.5/B₀ = 48 (was A = 2.0/B₀ = 2.0); step 5 N₀ = 8×10⁴,\n margin 16 020, convexity PROVED (D-057/E-029); step 6 overlap 6.25×\n (was 10×); adversarial-review H2 digamma link now PROVED (D-056);\n header convexity line updated.\n2. D-036 §6: sign erratum — S_∞ correction is −1/(24n), not +1/(24n)\n (the file's own residual list proves it: −0.2500417 at n = 1000).\n3. D-056 title: stale constants \"A = 6.0, B₀ = 40\" → A = 10.5, B₀ = 48.\n4. D-055 F-C: \"deviations ≤ 0.9%\" erratum — correct: 0.02%–2.3%\n relative (three of four ≤ 0.5%).\n5. D-058 (L3): same 0.9% erratum, pointer to D-055.\n6. D-042 §2: linear-K law superseded by D-045 — plateau K/(2a) → 1\n (measured 0.973–0.997); the \"1.9a to 0.3%\" fit does not survive\n re-checking against the file's own raw values (K/a = 1.95–1.99);\n residual asymptotic Z/(2π), not Z/6.\n7. D-043 §D item 3: residual \"→ Z/6\" erratum → Z/(2π) per D-045;\n qualitative conclusion (nonzero residual equilibrium = the\n obstruction) unchanged.\n\n## 4. Residual known limitations (carried knowingly, tagged in draft)\n- M₀ = 1.3352 remains grid-verified (E-023 S1 + Lipschitz); acb box\n cover upgrade = E-023b (optional, queued).\n- Valley-theorem general floor carries the non-degeneracy condition\n ‖G⁻¹‖‖k‖² ≤ a (D-058:20); draft covers it as \"explicit\n local-configuration constant\".\n- Appendix B claim \"no model-space/RKHS infrastructure in Mathlib\" is\n plausible-but-unverified from the archive (worded as a project\n assessment).\n- E-027 heights quoted as 23.0/51.4 are rounded mid-gap targets\n (actual peaks 22.5–23.3, 50.9–51.1 depending on case).\n\n## 5. Conclusion\nAfter the §2 corrections, every claim in draft.tex is either\n[PROVED]/[PROVED-CONDITIONAL] with the archive chain cited,\n[NUMERICAL] with the experiment id cited, or explicitly tagged as\nskeleton/measured. Task 5.4 (final honesty audit) is COMPLETE for the\ncurrent draft state; any future edit to draft.tex invalidates this\naudit only for the edited lines.\n"},"extra_content":null}]