This paper formalizes the Ic–Magnetic Pressure Gradient as the operative projection of the Aetheric superfluid's vertical potential into the bulk atmospheric medium within the Earth–Firmament resonant cavity. Building on prior demonstrations that neither gravity nor the magnetosphere can act as a physical container for neutral gas, we resolve the Nitrogen Paradox by treating the measured paramagnetic/diamagnetic identities of Oxygen (O₂) and Nitrogen (N₂) as constraints on the Pattern of the P₈ medium under the Ic potential. We derive an Ic atmospheric scale height H_Ic directly from the Ic-reparametrized hydrostatic law and show that the vertical density profile factorizes into an Ic barometric backbone and a slow π^(1/4) modulation over a 273 km crystallization scale. The integer 273 is derived from zero free parameters as the product d × d_Ψ × sl(T(3,8)) = 3 × 7 × 13, connecting the atmospheric crystallization shell to the charged pion mass and the water freezing point through the universal crystallization isomorphism. The surface pressure coefficient 14.7 is shown to equal d · d_Ψ² / (d + d_Ψ) = 147/10 in corpus integers. Kinematic effects (Coriolis, Foucault precession) are reclassified as real fluid-dynamic drag of the rotating Ic field rather than fictitious forces, and Polaris is identified as the topological 9-Axis singularity of the Pisano engine. Paper 205 of the CAT'S Theory Corpus.