GLYBATOMAQ™: Quantum-Geometric Rank Auditing of GLIPR1 Screening by Operator Kernels, DFT/QMC Refinement, and MQWalk Validation

We present GLYBATOMAQ™, a rank-centric and quantum-geometric framework for GLIPR1-focused in silico screening. The framework treats docking as a fixed-protocol comparative oracle and places the main methodological emphasis on auditable rank movement, positive-semidefinite operator geometry, DFT-derived electronic descriptors, QMC-style uncertainty auditing, and MQWalk topology validation. To make the quantum-geometric contribution explicit for quantum-geometry reporting, we introduce Bures/Fubini-Study-style distance controls, local metric and curvature penalties, quantum Fisher information-inspired sensitivity diagnostics, Berry-type gauge-consistency checks, and a candidate-level assembly certificate. Quantum-geometry reporting elements define the reporting schema, connect each mathematical object to a computational decision, and show how DFT, QMC, MQWalk, curvature, and diagnostic penalties are fused without claiming experimental affinity, efficacy, or biomolecular quantum transport. The output is a reproducible leaderboard and audit bundle for GLIPR1-oriented computational hypotheses: rank shifts are accepted only when supported by electronic descriptors, uncertainty-aware energetic evidence, operator-overlap topology, and chemistry-safe HMC/HSX feasibility constraints.