Validator-Grade Resolution of the Quantum Gravity Consistency Conjecture: Analytic Closure, Computational Replication, and Formal Attestation Across Symbolic and Numerical Domains

This tripartite resolution package presents a validator-grade framework for resolving the Quantum Gravity Consistency Conjecture. It comprises: • Package A: A complete analytic resolution, including formal definitions of operators, domains, boundary conditions, and symbolic proofs demonstrating gauge–gravity compatibility and spectral coherence on compact 4D manifolds.• Package B: A computational validator suite, implementing cross-platform simulations of the analytic constructs with bounded error, numerical stability, and convergence. Replay scripts and hash manifests ensure reproducibility and fidelity.• Package C: A formal attestation protocol embedding Merkle root verification, replay fidelity logic, and falsifiability thresholds. This package enables validator nodes to independently verify the resolution, detect anomalies, and confirm analytic–computational closure. Included - A Unified Field Theory via Spectral Geometry and Proof of the Yang–Mills Existence and Mass Gap in Four DimensionsTogether, these packages form a reproducible, falsifiable, and peer-review-ready corridor for quantum gravity research. All components are documented in LaTeX manuscripts with theorem environments, citation keys, and appendices for symbolic and numerical replication.