Information Structural Attraction Theory (ISAT) v2.3: Internal Consistency Verification and Cross-Scale Behavior Simulation

This paper presents the Information Structural Attraction Theory (ISAT) v2.3, a framework proposing that 'attraction' in any system is a consequence of Free Energy Minimization under logical compatibility constraints (Compatibility-Gated Coupling), rather than action-at-a-distance. The document is structured into two distinct parts to separate verified internal mechanics from theoretical extensions: Part 1 — Core Framework (§1–7): Presents the governing equations, core postulates, and verification results across all postulates and predictions within the simulation domain. Every element in this section has passed internal consistency validation. Part 2 — Domain Conjectures (Appendix A–H): Details theoretical proposals exploring how ISAT may apply to various physical, social, and financial domains. These extensions await independent empirical validation and carry varying levels of qualitative support. Key Updates in v2.3 (Addressing Peer-Review Feedback): Mathematical Correction: Corrected the potential gradient term within the second-order dynamics equation. Terminology Refinement: Replaced quantum-centric terminology (e.g., "entanglement", "spin", "quantum confinement") with classically accurate informational labels to prevent conceptual conflation. Epistemic Rigor & Caveats: Added explicit caveats regarding manually tuned parameters, unfair baselines, and a tautology warning for definitional postulates. Reproducibility: Included formal Code and Data Availability Statements. All 18 Python simulation scripts are included as supplementary material (ISAT_v2.3_Release.zip / updated source).