← Session 35 — ii′-6-R: Lagarias 6.1 right-tail re-proof (E-032/D-073)
thinking (996 chars)
All 21 declarations audit clean ([propext, Classical.choice, Quot.sound] only — 21 lines matching, nothing else).
DL-3 COMPLETE. Now commit: D-074 log + NGUYEN.md + STATE + commit. Also the E-034 fold uses C_zeta3 = 0.5 (already re-validated) but the H_high bound in E-034 used 5.94 (the tight R(1.5)) while Lean now charges 8.38 — should I re-validate the fold with HHigh = 8.38? The fold with HHigh = 8.38 vs 5.94: ΔDogLegRight = +2.44 per side, ΔBn ≈ +4.9 everywhere — negligible vs margins (13,165 at 8e4). But for consistency of the validated fold with the Lean-charged constants, update E-034's HHIGH to 8.38 and re-run the fold part. The V5 slack: measured |H_high| = 1.01–1.11 vs 8.38 ✓ (ratio 0.13). The fold: margins change by ~5 at the base points — rerun to keep the record honest. Actually — the E-034 script's fold uses DogLegRight = VLeftBound + HHIGH + VRightBound with HHIGH = 5.94. Update to 8.38 with a comment, re-run --force, check margins, then commit everything together.
All 21 declarations audit clean. Re-validating E-034 at the Lean-charged HHigh = 8.38 (the C = 0.5 version was validated; the H_high constant changed from tight 5.94 to certified 8.38), then committing DL-3.
tool: Edit
input
{
"file_path": "D:\\Python\\Quantum\\research\\numerics\\scripts\\E-034-dogleg-validation.py",
"old_string": "HHIGH = mp.mpf(\"5.94\") # R(1.5) charged (D-073, E-033)",
"new_string": "# HHIGH: the LEAN-CHARGED high-horizontal bound 8.38 (DL-3,\n# hIntegral_Jlag_dogleg_norm_le: the single-exponential-envelope form\n# 4*e^{4/3}/(2c) + 1/(2 log 2) with c = log 2 - 4/9 >= 0.2487 certified,\n# dirichletC2 <= 1). The tight R(1.5) = 5.94 would need a dirichletC2 <= 0.57\n# build (documented tightening path; the fold is indifferent: margins change\n# by ~5 at the base points against margins > 1.3e4).\nHHIGH = mp.mpf(\"8.38\")"
}
tool: Bash
input
{
"command": "cd D:/Python/Quantum && ./.venv/Scripts/python.exe -c \"import subprocess, sys; subprocess.Popen([sys.executable, 'research/numerics/scripts/E-034-dogleg-validation.py', '--force'], creationflags=0x00000008, stdout=open('research/numerics/data/E-034-rerun-H838.log','w'), stderr=subprocess.STDOUT, close_fds=True)\" && echo LAUNCHED",
"description": "Re-run E-034 at the Lean-charged HHigh = 8.38",
"dangerouslyDisableSandbox": true
}
raw content_json (database row)
[{"type":"thinking","thinking":"All 21 declarations audit clean ([propext, Classical.choice, Quot.sound] only — 21 lines matching, nothing else). \n\nDL-3 COMPLETE. Now commit: D-074 log + NGUYEN.md + STATE + commit. Also the E-034 fold uses C_zeta3 = 0.5 (already re-validated) but the H_high bound in E-034 used 5.94 (the tight R(1.5)) while Lean now charges 8.38 — should I re-validate the fold with HHigh = 8.38? The fold with HHigh = 8.38 vs 5.94: ΔDogLegRight = +2.44 per side, ΔBn ≈ +4.9 everywhere — negligible vs margins (13,165 at 8e4). But for consistency of the validated fold with the Lean-charged constants, update E-034's HHIGH to 8.38 and re-run the fold part. The V5 slack: measured |H_high| = 1.01–1.11 vs 8.38 ✓ (ratio 0.13). The fold: margins change by ~5 at the base points — rerun to keep the record honest. Actually — the E-034 script's fold uses DogLegRight = VLeftBound + HHIGH + VRightBound with HHIGH = 5.94. Update to 8.38 with a comment, re-run --force, check margins, then commit everything together.","signature":""},{"type":"text","text":"All 21 declarations audit clean. Re-validating E-034 at the Lean-charged HHigh = 8.38 (the C = 0.5 version was validated; the H_high constant changed from tight 5.94 to certified 8.38), then committing DL-3."},{"type":"tool_use","id":"Edit_331","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\research\\numerics\\scripts\\E-034-dogleg-validation.py","old_string":"HHIGH = mp.mpf(\"5.94\") # R(1.5) charged (D-073, E-033)","new_string":"# HHIGH: the LEAN-CHARGED high-horizontal bound 8.38 (DL-3,\n# hIntegral_Jlag_dogleg_norm_le: the single-exponential-envelope form\n# 4*e^{4/3}/(2c) + 1/(2 log 2) with c = log 2 - 4/9 >= 0.2487 certified,\n# dirichletC2 <= 1). The tight R(1.5) = 5.94 would need a dirichletC2 <= 0.57\n# build (documented tightening path; the fold is indifferent: margins change\n# by ~5 at the base points against margins > 1.3e4).\nHHIGH = mp.mpf(\"8.38\")"},"extra_content":null},{"type":"tool_use","id":"Bash_332","name":"Bash","input":{"command":"cd D:/Python/Quantum && ./.venv/Scripts/python.exe -c \"import subprocess, sys; subprocess.Popen([sys.executable, 'research/numerics/scripts/E-034-dogleg-validation.py', '--force'], creationflags=0x00000008, stdout=open('research/numerics/data/E-034-rerun-H838.log','w'), stderr=subprocess.STDOUT, close_fds=True)\" && echo LAUNCHED","description":"Re-run E-034 at the Lean-charged HHigh = 8.38","dangerouslyDisableSandbox":true},"extra_content":null}]