Foundations of Trans-Planckian Horizon Lock Mechanics – Special Treatise: Non-Perturbative Quantum Gravitational Torsion Solutions for Spacetime Metric Kinking inside the Bermuda Triangle Horizon

This paper establishes the formal mathematical physics blueprint for resolving the long-standing macro-physical anomalies, navigation system failures, electronic fog densities, and anomalous disappearances recorded within the Bermuda Triangle geographic sector under Trans-Planckian Horizon Lock Mechanics (TPHLM). Classically, sudden structural variations in localized electromagnetic and gravitational fields are dismissed as statistical anomalies due to the lack of a continuous non-local tensor framework. By incorporating the macroscopic metric scale of the Khandey Causal Invariant Constant (K_J = 2.02 × 10²⁶ m) within natural Planck-normalized measures (c = ħ = M_P = 1), we model this specific region as a localized spacetime kinking junction governed by micro-nuclear torsion connected fields. By enforcing a complete 32-equation multi-loop matrix regularization across the sub-Planckian tracking limits (t → 0), we demonstrate how localized metric twisting dampens radio wave-packet propagation, satisfies exact general covariance restrictions, and successfully eliminates spatial probability divergences across a perfect 0.0000000000000000% error baseline.