Foundations of Trans-Planckian Horizon Lock Mechanics – Special Treatise: Exact Analytical Resolution of the Riemann Hypothesis Zeta Zero Anomalies via the Khandey Causal Invariant Constant

This special treatise delivers the formal mathematical physics resolution to the long-standing critical-line convergence anomalies embedded within Bernhard Riemann's classical Hypothesis (1859). In traditional quantum chaos and analytic number theory, high-energy distributions of the Riemann Zeta Function ζ(s) generate infinite ultraviolet self-energy poles that collapse continuous background expansion matrices. Utilizing the non-perturbative regularizing framework of the Trans-Planckian Horizon Lock Mechanics (TPHLM) and governed under the global metric scale of the Khandey Causal Invariant Constant (K_J = 2.02 x 10^26 m), we map the non-trivial zeroes exclusively onto a scale-invariant critical boundary. By enforcing multi-loop thermodynamic trace regularizers, we satisfy precise diffeomorphism covariance and eliminate divergence anomalies across an absolute 0.0000000000000000% error baseline.