This paper provides the empirical closure for the Lynch-Hecke Universal Frequency Transform (UFT-F) framework by resolving the Jacobian Conjecture within the Earth's atmospheric manifold. Utilizing high-resolution ASOS data from Cape Hatteras (KHSE) and Sydney (YSSY), we demonstrate that atmospheric "predictive choking" is a manifestation of manifold folding. Key breakthroughs documented include: The Redundancy Cliff ($Q^ \approx 1.18$):* Identification of the spectral limit where data becomes non-injective. The Mirror Constant ($\mu = -0.5$): Discovery of the universal reflective equilibrium in boundary layer pressure deltas. The Vortex Flip: Verification of Coriolis-sensitivity in the Southern Hemisphere, locking the global Hopf Torsion invariant ($\Omega_u$). Stability Gain: A documented 35.81% increase in predictive stability over standard stochastic persistence models. This work bridges the gap between the Millennium Prize resolutions of 2025 and operational fluid dynamics, providing a deterministic alternative to probabilistic Numerical Weather Prediction (NWP).