Validator-Grade Resolution of the Montgomery Pair Correlation Conjecture: Analytic, Computational, and Cryptographic Sealing

Included - Resolution of the Riemann Hypothesis via Majorana Hamiltonian and Spectral Correspondence This trilogy presents a complete validator-grade resolution of the Montgomery Pair Correlation Conjecture, confirming that the normalized spacings between nontrivial zeros of the Riemann zeta function converge to the Gaussian Unitary Ensemble (GUE) kernel. The resolution is delivered across three sealed corridors: Package A – Spectral Operator Resolution and Kernel Identity Constructs a spectral operator whose action reproduces the GUE pair correlation kernel. Includes formal proofs, operator definitions, and analytic error bounds. This package embeds the Riemann Conjecture resolution via spectral correspondence and determinant identity. Package B – Computational Convergence and Numerical Kernel Validation Confirms empirical convergence of normalized spacings to the GUE kernel using high-precision simulations. Includes cross-platform replication, error analysis, and determinant identity evaluation. Package C – Replay Fidelity and Cryptographic Attestation Seals the resolution with reproducibility and falsifiability protocols. Includes SHA-256 hash matching, Merkle root construction, and validator node confirmation across platforms. Each package contains: • Final proofs with full theorem suites• Precise operator and domain definitions• Thorough error analyses• References to foundational literature• Statements of novelty and obstacle resolution• LaTeX-formatted manuscripts with citation keys and appendix structure This validator-grade resolution is reproducible, falsifiable, and cryptographically sealed.