Resonance-Invariant Dynamics in Quantum Networks A Conceptual Framework for Rate-Induced Instability and Error Cascade Suppression

Abstract Quantum networks face rate-induced instabilities arising from accelerating growth in the number of nodes, entanglement distribution rates, and synergistic accumulation of channel noise and repeater latency. Conventional quasi-static fidelity thresholds and probabilistic purification protocols often fail to anticipate cascades of entanglement loss. This conceptual preprint proposes a resonance-invariant framework for modeling such instabilities. The central dimensionless parameter is the sensitivity field