Information Dynamics: From Quantum Mechanics to Information Superconductor -- Derivation of the Schrödinger Equation and Inversion of 2025 Quantum Experiments

We present the Information Dynamics framework, where quantum mechanics emerges from a more fundamental information field. Two complementary perspectives are offered. First perspective (quantum physics view): The Schrödinger equation is derived as the unitary, dissipation-free limit of a generalized Ginzburg-Landau equation. The information purity pID = ε/(ε+γ) controls the transition between wave-like coherence and particle-like decoherence. Second perspective (information superconductor view): In the limit pID → 1, the information field behaves as an information superconductor — a dissipation-free flow of information, analogous to electrical superconductivity. The Schrödinger equation becomes the “London equation” of this information superfluid. The information purity pID = ε/(ε+γ) is the KPI. It measures the coherence of the information flow — the fraction of the information field that remains in a pure, superconducting state. It does not correspond to any conserved quantity in physics. Instead, it is an information‑theoretic score: high pID means clean, wave‑like, nonlocal behavior; low pID means noisy, particle‑like, classical behavior. We invert two landmark 2025 experiments: the MIT wave-particle duality test and the BESIII Bell test. Using pID as a pre-defined parameter (not a post-hoc fit), we obtain pID = 0.875 ± 0.012 from the MIT visibility intercept, and pID = 0.966 ± 0.004 from the BESIII S parameter. These results show that wave-particle duality and quantum nonlocality are two facets of the same information-theoretic principle. The Value of Information Dynamics: A New Perspective, Not Just New Predictions Information Dynamics is not intended to replace or overturn the current physical laws. Its role is analogous to that of a high‑level programming language—the binary code compiled from a high‑level language may be functionally identical to hand‑written assembly, yet the value of the high‑level language lies in simpler abstractions, greater unifying power, and the ability to solve complex problems. Similarly, starting solely from binary code, there are several ways to prove the existence of a high‑level programming language (e.g., bootstrapping, cross‑platform consistency, solving problems impractical in binary, information compression, extensibility, etc.). However, each of these approaches requires substantial time and broad collaboration. This paper serves only as the beginning of such an ambitious endeavor, presenting the core ideas and initial constructions. This paper takes only the first step—demonstrating the basic syntax and core ideas of Information Dynamics as a “high‑level language.” We sincerely invite colleagues in the academic community to collaborate and together complete this grand bootstrapping project. Upload note: This is the preprint version updated on April 4, 2026. All figures, data, and code are included in the GitHub repository: https://github.com/hkaiopen/InformationDynamics_Quantum/