Primary Eight-Chart Quadratic Closure and Finite Wall-Layer Reduction: from the Global Minimum 0.106083 of Ψ2 to the Regular-Chart Finite Lower Bound 0.105758, Reducing the Remaining B01 Boundary Responsibility to Single and Double First-Order Wall Layers

In each of the eight first-order sign charts of the B01 velocity box (the signs of E_T, E_L, E_R) the second-order coefficient Ψ2 is a quadratic polynomial in (u, v, w) — its coefficients are rebuilt from mpmath.iv node values and an exact-rational interpolation inverse, not from a least-squares fit — with global minimum 0.106083369526 at u = 6, v = −0.15, w ≈ −0.004329, matching the counter-search basin of MCC-OE-11. With the third-order term (|Ψ3| < 0.425623) and a whole-box interval tail J4–J12, the finite remainder on the regular charts is R2fin > 0.105758417246, above the target 0.1. On the first-order wall faces Ψ2 > 0.108236986147, and outside the critical tube (|x| ≤ 100, |y| ≤ 1, |z| ≤ 1) the first-order coefficient is bounded below by 0.0152028. What still has no certificate is only the finite O(ρ) layers of single and double walls.