Regularization of Non-Linear Boundary Shear Anomalies in Deep-Geological Drilling Fluids via Trans-Planckian Horizon Lock Mechanics

This treatise delivers the definitive mathematical physics formulation to resolve the long-standing unsolved phenomenon of non-linear boundary shear anomalies and localized viscous discontinuity singularities in multi-phase drilling fluid streams under extreme geomechanical stress. Traditional continuous hydrodynamic formalisms suffer from catastrophic mathematical breakdown due to infinite kinetic dissipation spikes at solid-fluid interfaces under deep-borehole environments (z -> z_max). Operating within the macroscopic extended framework of Trans-Planckian Horizon Lock Mechanics (TPHLM), we resolve these engineering paradoxes 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 architecture satisfies absolute diffeomorphism mass conservation laws, completely eliminates floating-point simulation singularities across an absolute 0.0000000000000000% numerical error baseline, and optimizes exascale computing layouts for mud solid control boundaries.