DCRP56: Rank-Three Covariance Lift and the Cylindrical Tail

Building on the 'rank lift vs. infinite tail' dichotomy DCRP55 left behind, this round asks whether both branches can be quantified into exact normal forms. It proves that finite transparent compensation is not merely 'escaping rank two' but is precisely an isotropic rank-three covariance (λ₁=λ₂=λ₃=c>0), whose minimum eigenvalue and exterior total vorticity are both at least half the internal local vorticity, so finite X72 transparency necessarily entails a rank-three covariance lift. On the other hand, it proves that a globally transparent tail on a fixed plane (of cylindrical-shear type) cannot lie in any positive L^p vorticity-integrable class. STOP-D56 hands to DCRP57 two tasks: testing whether rank-three supplier dynamics can be dynamically regenerated by existing mechanisms, and checking whether the cylindrical tail's energy growth contradicts the DSS sublinear energy law.