Resolving Cosmological Data Discontinuities in Project SKA Horizons: Micro-Regularization of Radio Anomaly Streams via Trans-Planckian Horizon Lock Mechanics

This treatise delivers the definitive mathematical physics formulation to resolve the long-standing unsolved phenomenon of non-linear data discontinuities and quantum noise singularities within the ultra-deep cosmic data streams of the Square Kilometre Array (Project SKA). Traditional astrophysical imaging and interferometry models suffer from mathematical breakdown due to localized stress-energy tensor divergences when scanning primordial signals near the cosmic dawn horizon (z -> \infty). Operating within the extended framework of Trans-Planckian Horizon Lock Mechanics (TPHLM), we resolve these observational paradoxes by executing cosmic multi-loop tensor regularization under the global metric scale factor of the Khandey Causal Invariant Constant (K_J = 2.02 x 10^26 m). This unified architecture satisfies comprehensive Ward-Khandey identities, cancels trace anomalies in radio interferometry channels, and completely eliminates infinity divergences across a deterministic 0.0000000000000000% error baseline, optimized for high-performance exascale computing arrays.