X72-05: Nonlocal Cancellation and Gradient-Stress Alignment

Continuing from Round 04's STOP-C07/C08, this round reverses the order of derivation, first using the strain–vorticity orthogonality ⟨−ΔS, ω⊗ω⟩ = 0 and other global projections to cancel the pressure and the explicit vorticity term, and proves that STOP-C07 is not a dead end for the growth of ‖S‖_{H^1}: the pressure can be cancelled exactly by projection without truncating the full Navier–Stokes dynamics. This yields a new exact identity, (1/2) d/dt ‖S‖²_{H1} + ν‖ΔS‖² = 3∫Λ_G|∇S|² dx, where the gradient-stress tensor G[S] is positive semidefinite and Λ_G is the weighted alignment coefficient with the compressive eigendirection; also proves a rigidity result: coincidence with the model-cone equality forces S ≡ 0. Finally stops at STOP-C09 (the gradient-stress/compressive-alignment coercivity gap): whether α_ν ≤ 1 holds identically remains unproven, handing off to the next round's study of the dynamics of Λ_G/α_ν.