[{"type":"text","text":"Q-S3 attacked, committed (`461edf7`). Summary:\n\n## What the theory forced (sharpened frame)\nCor 1.6's convergence is much more constrained than it looks: W has exponential type 2a, **all zeros real** (Thm 1.5, proved), and e^{φ} is zero-free — so zeros of e^{φ}W = zeros of W. W's lattice (spacing π/a) has density growing with a while the target z²ξ/ξ′ has fixed ~(log T)/2π density. Since zeros can't leave ℝ, Cor 1.6 requires a **density-collapse phase transition**: zeros must flow out to ±∞ as a grows. And θ alone can't do it (de Branges interlacing — count is θ-independent) — it must come from the deficiency vectors v± = T_a^{−1}e^{±x}.\n\n## What E-014 measured (a ≤ 10, all checks pass)\n- **Interlacing exact**: zero count in [0,40] varies by just 1 across 16 θ values (argument-principle count)\n- **v± are boundary-localized** (~82% edge mass, free e^{±x}-like) — but this does *not* thin the spectrum\n- **No transition yet**: perfect π/a lattice through a=10, zeros still flowing *inward*, no γ-locking\n- **θ = π candidate found**: the imaginary-axis read-off selects θ=π at *every* a with perfect phase agreement (96/96 points) — though fit residuals grow slowly with a, so it's a candidate rule, not convergence evidence\n\n**Verdict (D-023):** scale limitation, not a wall. The transition — if it exists — starts at a ≫ 10. Queued: Q-S3a (analytic: does v± → A_∞^{−1}e^{±·}?), Q-S3b (backend redesign to reach a ~ 12–14), Q-S3c (Herglotz W′/W fine structure at θ=π).\n\nIt's been a long session (recovery + 4 forks + Q-S3, all committed and crash-safe). Want to continue with one of A1/A2/A3/B/C/D, or log off here in a clean state?"}]