Quantum Stabilization Dynamics: A Unified Framework from Field-Theoretic Foundations to Input-to-State Stability

Quantum Stabilization Dynamics (QSD) is a framework for monitoring and controlling multichannel dynamical systems — quantum processors, solar-wind plasma, gravitational-wave detectors, optical links. It begins with a scalar coherence-field Lagrangian and derives, through four successive layers, a closed-form stability bound: angular error decays geometrically and stays bounded under any external disturbance. The central structural result proves that the TriDelta covariance coordinates are exact algebraic functions of two-node sync-model parameters, and that a unique operating angle θ* = 22. 48° emerges from the TriLock balance condition. IBM quantum hardware (ibmfez, 156-qubit) independently measures θₛource = 22. 47° across 9/9 positive-gain passes — within measurement precision of the theoretical value. Validation covers nine real-instrument events across five domains: solar X-rays, solar wind, geomagnetic activity, gravitational waves, and optical links. Heterogeneity is zero (I² = 0%), pooled signal Zθ = +36. 2 ± 2. 4. Every free parameter is explicitly identified and accounted for. Provisional Patent #64/035, 024 (April 10, 2026). GitHub: https: //github. com/apmannino-design/qsd-phase-bounded-transport