Topodynamic Rank Transitions and Macroscopic Leptonic Solitons: Coherent Coupling of the Cosmic Neutrino Background in Relativistic Beam Decompactification

We model the catastrophic impact of an ultra-relativistic hadronic beam against a continuous material boundary within the framework of Topodynamic Field Theory (TFT). The collimated injection is initially formulated as a rank-1 foliation aligned with the Reeb vector flow. The collision induces a localized breakdown of Frobenius integrability, triggering a differential rank cascade 1 -> 2 -> 3 mediated by a torsion 3-form H^(3) = theta ^ d(theta). We demonstrate that transversal energy dissipation evades classical geometric 1/r^2 dilution when the torsion couples axially to the Cosmic Neutrino Background (CvB). At sub-thermal scales, forward coherent weak scattering induces an attractive leptonic ponderomotive force, generating a Kerr-type nonlinear susceptibility in the neutrino vacuum. The transverse dynamics of the modular envelope collapses into a two-dimensional Nonlinear Schrödinger Equation (2D-NLSE). The classical collapse instability of the Townes profile is strictly regularized by the topological conservation of the Godbillon-Vey invariant Gamma_GV(F), sustaining a self-trapped solitonic channel over continental distances (~10^3 km) in terrestrial media and over megaparsec scales in expanding cosmological metrics.