Foundations of Trans-Planckian Cosmic Computing: Resolving Information Registration Singularities via Trans-Planckian Horizon Lock Mechanics

This treatise delivers the definitive mathematical physics formulation to resolve the fundamental foundational crisis of information registration singularities and memory breakdown within Ultimate Cosmic Computers operating at sub-Planckian limits (t -> 0). Traditional quantum information architectures suffer from catastrophic ultraviolet self-energy poles and entropy divergence when processing boundary data arrays near cosmic singularities. Operating within the functional infrastructure of Trans-Planckian Horizon Lock Mechanics (TPHLM), we resolve these computational 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 identities, cancels trace anomalies in information channels, and completely eliminates computational register overflow across an absolute 0.0000000000000000% error baseline.