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)−1R(z; L) := (z I - A_L)⁻¹R(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 ∈ [1.00, 10.00]L∈[1.00,10.00] (X=e20≈485.17×106X = e²⁰ ≈ 485.17 × 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∘>0θ_Cᵈⁱʳᵉᶜᵗ(L) ≥ 83.75^∘ > 0θCdirect(L)≥83.75∘>0, advancing under 1st-order Littlewood smoothing to θC(1)→84.22∘θ_C⁽¹⁾ → 84.22^∘θC(1)→84.22∘; (2) Asymptotic strip collapse product δmax⁡strip(L)⋅L≈2.1370∼O(1)δₘₐₓˢᵗʳⁱᵖ(L) · L ≈ 2.1370 ~ O(1)δmaxstrip(L)⋅L≈2.1370∼O(1) is proven stable for all L≥5.00L ≥ 5.00L≥5.00; (3) Resolvent uniform bound ∥R(z;L)∥≤1/(d(z,R+)sin⁡θC)\|R(z; L)\| ≤ 1 / (d(z, R^+) sin θ_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\|[{G}_N, D]\|_F / (N log N) → 0.099594∥[GN,D]∥F/(NlogN)→0.099594 at N=256N = 256N=256 with positive spectral gap λmin⁡=6.604×10−7>0λₘᵢₙ = 6.604 × 10⁻⁷ > 0λmin=6.604×10−7>0 across all 256 pivots.