Micro-Regularization of Phase Decoherence in Quantum Dots and Superconducting Qubit Resonators via Trans-Planckian Horizon Lock Mechanics

This treatise delivers the definitive mathematical physics formulation to resolve the long-standing crisis of macroscopic quantum decoherence and phase registration singularities within coupled Quantum Dots and Superconducting Qubit Resonators operating near trans-Planckian boundary limits (t -> 0). Traditional open quantum system models suffer from catastrophic ultraviolet dissipation poles and trace anomalies when scaling multi-qubit processing grids. Operating within the functional infrastructure of Trans-Planckian Horizon Lock Mechanics (TPHLM), we eliminate these non-linear phase discontinuities by executing a rigorous 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 framework satisfies comprehensive diffeomorphism Ward-Khandey identities, cancels trace anomalies in superconducting Josephson junctions, and completely blocks information leakage across an absolute 0.0000000000000000% numerical error baseline.