ISAT: Quantum Dynamics v10.0: Bridging Information Structural Attraction Theory and Quantum Phenomena through Structural Vectors

ISAT: Quantum Dynamics v10.0 introduces a comprehensive computational verification engine demonstrating that scale-invariant structural vectors ($K^*$) function as a non-trivial, shape-sensitive observer metric. Through systematic multi-dimensional numerical experiments (45 multi-scale tests), this framework bridges Information Structural Attraction Theory (ISAT) and quantum phenomena across diverse regimes. Core Verification Suite Findings (Section 4.11) Exp A (Quantum Revivals): $C_{K^*}$ detects geometric shape revivals under Lindblad dephasing with 0.9999 peak value, while standard Fidelity drops to 0.3908 (a 2.56x robustness gain). Exp B3 (Dicke Transition): Observer dynamics detect the superradiant transition via Critical Slowing Down (CSD), showing a sharp 9.6x peak in convergence steps near the critical point ($\lambda_c = 0.50$). Exp C2 (Dimensionality Tracking): PCA projects a 256D spatial grid collapse path onto an effective 2.7D manifold, capturing 96.1% of the total dynamical variance. Exp D2 (Entanglement Transition): A 12D multi-basis ($X$ & $Z$) moments vector tracks the volume-to-area law transition, establishing a strong monotonic correlation ($r = -0.8142$) with half-chain entanglement entropy. Exp E2 (Error Mitigation Witness): In the density matrix limit, the $K^*$ space Euclidean distance to the ideal state drops from 0.5314 (unmitigated) to 0.0099 (mitigated), yielding a $p\text{-value} = 0.0000$ and 100% separability. Exp F2 (Non-Markovian Memory): Moments space distance expansion tracks open-system information backflow, achieving a perfect correlation ($r = 1.0000$) with the BLP trace-distance measure, proving Bloch-sphere geometric isomorphism. Repository Contents Computational Verification Engine: Source code and scripts for the 45 multi-scale tests across 1D, 2D, 3D, 4D, Time-dependent Dynamics, Many-Body, Open systems, and Closed-loop Active Inference. Official Preprint: The full theoretical and numerical manuscript detailing the mathematical foundations of the $K^*$ metric. Breakthrough Verification Suite: Complete data tables and plotting scripts resolving legacy numerical anomalies.