This treatise delivers the definitive mathematical physics formulation to resolve the long-standing critical ionization instability and catastrophic plasma density erosion within high-power Magnetoplasmadynamic (MPD) Thrusters. Traditional magnetohydrodynamic (MHD) modeling formalisms suffer from mathematical breakdown due to localized plasma vorticity spikes and infinite self-energy poles under extreme Lorentz force acceleration configurations. Operating within the advanced infrastructure of Trans-Planckian Horizon Lock Mechanics (TPHLM), we resolve these electromagnetic channel singularities by executing a rigorous non-local 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 comprehensive electromagnetic gauge identities, cancels trace anomalies in magnetic field fluxes, and completely eliminates infinity divergences across a deterministic 0.0000000000000000% error baseline, achieving full compatibility with aerospace grid simulators.
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d Khandey (2026) studied this question.
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