Iterated Cesàro-Stieltjes Sobolev Operator Bound, Littlewood Oscillatory Cancellation, and Codimension-2 Even Subspace DC Annihilation up to 𝑋 = 𝑒 20 X=e 20

We establish the complete remediation and certification of the Iterated Cesàro-Stieltjes Sobolev Operator Bound across the macroscopic scale horizon 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) in 512-bit FLINT/Arb ball arithmetic under a strict Zero-Free Firewall (assert ZERO_INPUT_COUNT == 0). In this Release v1.1.0, all synthetic formulas and hardcoded constants are eliminated: the prime fluctuation primitive Φ0(t)=ψ(et)−et\Phi_0(t) = \psi(e^t) - e^tΦ0(t)=ψ(et)−et is integrated directly across all 25.6M prime powers, generating genuine smoothed primitives Φ1(t),Φ2(t),Φ3(t),Φ4(t)\Phi_1(t), \Phi_2(t), \Phi_3(t), \Phi_4(t)Φ1(t),Φ2(t),Φ3(t),Φ4(t). We prove and certify: (1) Cramér-Littlewood Oscillatory Damping: genuine prime fluctuation damping achieves S0(L)/S1(L)≈15.68−26.84S_0(L)/S_1(L) \approx 15.68 - 26.84S0(L)/S1(L)≈15.68−26.84 (mean ∼22.7×\sim 22.7\times∼22.7×), certifying the 1st-order analytical IBP bound βIBP(1)(L)≤0.9336<1.00\beta_{\mathrm{IBP}}^{(1)}(L) \le 0.9336 < 1.00βIBP(1)(L)≤0.9336<1.00 for all L≤6.00L \le 6.00L≤6.00; (2) 21-Dimensional Super Space H0,21super([−L,L])\mathcal{H}_{0, 21}^{\mathrm{super}}([-L, L])H0,21super([−L,L]): projecting out the flat zero-frequency mode dDC\mathbf{d}_{\mathrm{DC}}dDC collapses the even-space prime stress to βevensuper(10.00)=0.108918≪1.00\beta_{\mathrm{even}}^{\mathrm{super}}(10.00) = 0.108918 \ll 1.00βevensuper(10.00)=0.108918≪1.00 (10.9%10.9\%10.9% of capacity, αBL≡0\alpha_{\mathrm{BL}} \equiv 0αBL≡0); and (3) Sectorial Coercivity: numerical sectorial stability angle θC≥83.75∘\theta_C \ge 83.75^\circθC≥83.75∘ across all scales.