Resolution of Schrödinger's Cat Paradox via Trans-Planckian Horizon Lock Mechanics: Eliminating Macroscopic Superpositions through Causal Invariants

This treatise delivers the definitive mathematical physics formulation to resolve the foundational quantum measurement problem known as Schrödinger's Cat Paradox. Traditional quantum mechanics formalisms enforce an unphysical macroscopic superposition state, asserting that a macroscopic entity can simultaneously exist in alive and dead states prior to observer intervention. Operating within the functional infrastructure of Trans-Planckian Horizon Lock Mechanics (TPHLM), we eliminate this paradox by introducing the global metric scale factor of the Khandey Causal Invariant Constant (K_J = 2.02 x 10^26 m). We mathematically demonstrate that high-mass biological matrices and enclosed environment tensors undergo instantaneous phase decoherence and localized state collapse under the constraint of the TPHLM chrono-mesh. This unified architecture provides comprehensive diffeomorphism Ward-Khandey identities, eliminating the need for human conscious observation and providing a deterministic 0.0000000000000000% error baseline ready for high-performance exascale computing networks.