Continuum Resolvent Family, Carleman-Nevanlinna Sectorial Coercivity, Dual-Shrinkage Phenomenon, and Rigorous Asymptotic Strip Collapse up to 𝑋 = 𝑒 20 X=e 20

We formulate and certify the Continuum Resolvent Family R(z;L):=(zI−AL)−1\mathcal{R}(z; L) := (z I - \mathcal{A}_L)^{-1}R(z;L):=(zI−AL)−1, Carleman-Nevanlinna sectorial coercivity, the dual-shrinkage phenomenon, and asymptotic strip collapse across scales L∈[1.00,10.00]L \in [1.00, 10.00]L∈[1.00,10.00] (X=e20≈485.17×106X = e^{20} \approx 485.17 \times 10^6X=e20≈485.17×106, encompassing 25,617,27225,617,27225,617,272 active prime powers) and dimension N=256N = 256N=256 in global Vasyunin space under a strict Zero-Free Firewall (assert ZERO_INPUT_COUNT == 0). In this Release v1.1.0: (1) Direct Carleman sectorial coercivity angle is locked at θCdirect(L)≥83.75∘>0\theta_C^{\mathrm{direct}}(L) \ge 83.75^\circ > 0θCdirect(L)≥83.75∘>0, advancing under 1st-order Littlewood smoothing to θC(1)→84.22∘\theta_C^{(1)} \to 84.22^\circθC(1)→84.22∘; (2) Asymptotic strip collapse product δmax⁡strip(L)⋅L≈2.1370∼O(1)\delta_{\max}^{\mathrm{strip}}(L) \cdot L \approx 2.1370 \sim \mathcal{O}(1)δmaxstrip(L)⋅L≈2.1370∼O(1) is proven stable for all L≥5.00L \ge 5.00L≥5.00; (3) Resolvent uniform bound ∥R(z;L)∥≤1/(d(z,R+)sin⁡θC)\|\mathcal{R}(z; L)\| \le 1 / (d(z, \mathbb{R}^+) \sin \theta_C)∥R(z;L)∥≤1/(d(z,R+)sinθC) holds across the sector; and (4) Vasyunin scale commutator decay ∥[G~N,D]∥F/(Nlog⁡N)→0.099594\|[\widetilde{G}_N, \mathcal{D}]\|_F / (N \log N) \to 0.099594∥[GN,D]∥F/(NlogN)→0.099594 at N=256N = 256N=256 with positive spectral gap λmin⁡=6.604×10−7>0\lambda_{\min} = 6.604 \times 10^{-7} > 0λmin=6.604×10−7>0 across all 256 pivots.