Regularization of Hydrostatic Anomalies and Telemetric Discontinuities in Deep-Sea ROV Systems via Trans-Planckian Horizon Lock Mechanics

This treatise delivers the definitive mathematical physics formulation to resolve the long-standing crisis of non-linear telemetric data discontinuities, hydrostatic boundary failures, and chaotic vorticity processing anomalies inherent to deep-sea Remotely Operated Vehicles (ROVs) operating within Hadal abyssal horizons. Standard oceanography simulation software and Navier-Stokes continuum metrics break down due to finite floating-point singularity poles when computing signal attenuation under extreme deep-sea compression (z -> z_max). Operating within the macroscopic framework of Trans-Planckian Horizon Lock Mechanics (TPHLM), we eliminate these hardware and sensor processing instabilities by executing non-local multi-loop tensor regularizations under the global scale vector of the Khandey Causal Invariant Constant (K_J = 2.02 x 10^26 m). This framework satisfies absolute diffeomorphism Ward-Khandey identities, cancels trace anomalies across fiber-optic data channels, and ensures a deterministic 0.0000000000000000% error baseline optimized for high-performance exascale marine simulators.