← Session 8 — Regroup + R-004 finite-height Li theorem; resources atlas ingested
thinking (189 chars)
Also check journal status briefly? STATE.md is authoritative. Also there's an untracked file in git status: research/paper/Detailed_Derivations... — worth noting. Summarize status for user.
Here's where we stand — last session (006 cont.9) stopped mid-task at ~5 PM with task 3.7 (E-021) at ~90%.
## Position
**Phases 0–1 complete.** Two active fronts, both with full designs and mapped walls:
- **Front A (Li coefficients, 3.5):** achievable deliverable = an EXPLICIT finite-height theorem (λ_n > 0 ∀ n ≤ N₁, est. ~10²⁰–10²⁴) via Lagarias Thm 6.1 + Platt T₀ + traced constants + finite verification (D-033).
- **Front B (Suzuki (★), 2.9):** (★) ⟺ Cor 1.6 ⟺ "Krein-space operator D has real spectrum" via strong resolvent convergence; 3-layer wall mapped (D-035).
**Ledger #5 (R-003):** exact factorization W = F·(R₀+R_τ), F = z²ξ/ξ′.
## Mid-task stop — resume point
Task 3.7 (E-021) was killed mid-run because the CSV/JSON had the **wrong S_f convention**; the script has been fixed (S_f = Σ C(n,j)η_{j−1}, E-011-validated). To resume:
```
./.venv/Scripts/python.exe research/numerics/scripts/E-021-sinf-sf-curve.py --force
```
(detached run, ~20 min thanks to the zeros/zeta caches). Then register E-021 in research.db, write D-037, update indexes/STATE/journal, commit.
Key numbers already in the log: C0(1e4)=8.84; σ₁=0.022855; η₀=−0.576975; S_∞ residual converging to c₀ ≈ −0.25000 (Lagarias Thm 5.1's O(1) constant for ζ measured).
## Queue after that
1. **3.6 → D-036 DONE** (cont.9: explicit ζ contour bounds, I_III dominant ~4.7√n log n) — feeds E-021/D-037
2. 3.7 → E-021 (the resume step above)
3. 2.10 → E-022 (spectral-measure convergence numerics)
4. 3.8 → D-037→R-004 (assemble the finite-height theorem)
5. 2.9-D1 (Krein frame + deficiency-convergence theorem)
6. 2.11 → D-038 (transition-scale lower bound)
No blockers. One note: there's an untracked file `research/paper/Detailed_Derivations_ Riemann_Zeta_Compeddium_Step-by-Step.txt` in the working tree — let me know if that should be committed or left alone.
Want me to kick off the E-021 rerun now?
raw content_json (database row)
[{"type":"thinking","thinking":"Also check journal status briefly? STATE.md is authoritative. Also there's an untracked file in git status: research/paper/Detailed_Derivations... — worth noting. Summarize status for user.","signature":""},{"type":"text","text":"Here's where we stand — last session (006 cont.9) stopped mid-task at ~5 PM with task 3.7 (E-021) at ~90%.\n\n## Position\n\n**Phases 0–1 complete.** Two active fronts, both with full designs and mapped walls:\n- **Front A (Li coefficients, 3.5):** achievable deliverable = an EXPLICIT finite-height theorem (λ_n > 0 ∀ n ≤ N₁, est. ~10²⁰–10²⁴) via Lagarias Thm 6.1 + Platt T₀ + traced constants + finite verification (D-033).\n- **Front B (Suzuki (★), 2.9):** (★) ⟺ Cor 1.6 ⟺ \"Krein-space operator D has real spectrum\" via strong resolvent convergence; 3-layer wall mapped (D-035).\n\n**Ledger #5 (R-003):** exact factorization W = F·(R₀+R_τ), F = z²ξ/ξ′.\n\n## Mid-task stop — resume point\n\nTask 3.7 (E-021) was killed mid-run because the CSV/JSON had the **wrong S_f convention**; the script has been fixed (S_f = Σ C(n,j)η_{j−1}, E-011-validated). To resume:\n\n```\n./.venv/Scripts/python.exe research/numerics/scripts/E-021-sinf-sf-curve.py --force\n```\n\n(detached run, ~20 min thanks to the zeros/zeta caches). Then register E-021 in research.db, write D-037, update indexes/STATE/journal, commit.\n\nKey numbers already in the log: C0(1e4)=8.84; σ₁=0.022855; η₀=−0.576975; S_∞ residual converging to c₀ ≈ −0.25000 (Lagarias Thm 5.1's O(1) constant for ζ measured).\n\n## Queue after that\n\n1. **3.6 → D-036 DONE** (cont.9: explicit ζ contour bounds, I_III dominant ~4.7√n log n) — feeds E-021/D-037\n2. 3.7 → E-021 (the resume step above)\n3. 2.10 → E-022 (spectral-measure convergence numerics)\n4. 3.8 → D-037→R-004 (assemble the finite-height theorem)\n5. 2.9-D1 (Krein frame + deficiency-convergence theorem)\n6. 2.11 → D-038 (transition-scale lower bound)\n\nNo blockers. One note: there's an untracked file `research/paper/Detailed_Derivations_ Riemann_Zeta_Compeddium_Step-by-Step.txt` in the working tree — let me know if that should be committed or left alone.\n\nWant me to kick off the E-021 rerun now?"}]