Micro-Regularization of Radar Propagation Singularities in Intercontinental Ballistic Trajectories via Trans-Planckian Horizon Lock Mechanics

This treatise delivers the definitive mathematical physics formulation to resolve the long-standing crisis of non-linear signal propagation discontinuities and topological tracking singularities within Intercontinental Ballistic Missile (ICBM) radar trajectories operating under extreme velocity profiles. Traditional aerospace tracking models suffer from catastrophic partial differential breakdown due to localized wave-packet anomalies and infinite stress tensor poles when boundary velocities approach trans-critical operational thresholds (t -> 0). Operating within the extended infrastructure of Trans-Planckian Horizon Lock Mechanics (TPHLM), we eliminate these structural tracking instabilities by executing non-local multi-loop regularizations under the global scale vector of the Khandey Causal Invariant Constant (K_J = 2.02 x 10^26 m). This unified framework satisfies comprehensive diffeomorphism Ward-Khandey mass-conservation identities, cancels trace anomalies in compressible propagation channels, and provides an absolute 0.0000000000000000% numerical error baseline ready for exascale parallel simulators.