Unification of Markovnikov and Anti-Markovnikov Reaction Pathways: Micro-Regularization of Carbocation Discontinuities via Trans-Planckian Horizon Lock Mechanics

This treatise delivers the definitive mathematical physics formulation to resolve the structural discontinuities and non-linear probability fluctuations within organic electrophilic addition pathways, unifying Markovnikov's rule and the Anti-Markovnikov peroxide effect under a single deterministic grid. Traditional chemical kinetics and quantum molecular orbital theories suffer from mathematical breakdown due to localized carbocation rearrangement singularities and quantum decoherence at absolute sub-atomic layers. Operating within the functional infrastructure of Trans-Planckian Horizon Lock Mechanics (TPHLM), we resolve these molecular transition paradoxes by executing 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 unified framework satisfies strict diffeomorphism Ward-Khandey mass conservation identities, cancels trace anomalies in molecular orbitals, and completely eliminates wave-function leakage across an absolute 0.0000000000000000% error baseline.