GQR19 v3.4: General Kernel Protection, Subspace Invariance, and Algebraic Open-System Hierarchy

QGRE Scientific Portfolio CorePost-GQR89–91 Architecture Audit RevisionSeptember 2026 AbstractBuilding upon the discrete symmetry-protected subsectors of GQR18, we generalize kernel protection and subspace invariance in open quantum networks beyond the requirement ofspatial symmetries. We establish general algebraic conditions separating support-darkness,dynamical bridge-darkness, subspace invariance, and decoherence-free subspaces (DFS). Weutilize the su(3) algebra strictly as an orthogonal operator basis for 3-state reduced systems,free of any gauge or biological mechanism. Finally, we formalize the leak-detection metricsϵB and ϵinv, define the escape rate ΓS , and connect them directly to the competing-lossframework of GQR91.