This paper introduces a quantized approach to information flow in superconductors, hypothesizing that information is carried by discrete units, "informanons," associated with Cooper pairs. A novel wave equation, derived within a "digital quantum mechanics" framework, describes the dynamics of these informanons in temperature-entropy space, challenging conventional wavefunction interpretations. An entropic model of quantum memory is presented, revealing an inverse relationship between memory capacity and stored information, suggesting wave-like behavior and potential for high-density storage. This model provides a new perspective on quantum information reduction and transmission, offering insights into the fundamental nature of information and its storage in superconducting systems.
This paper introduces a quantized approach to information flow in superconductors, hypothesizing that information is carried by discrete units, "informanons," associated with Cooper pairs. A novel wave equation, derived within a "digital quantum mechanics" framework, describes the dynamics of these informanons in temperature-entropy space, challenging conventional wavefunction interpretations. An entropic model of quantum memory is presented, revealing an inverse relationship between memory capacity and stored information, suggesting wave-like behavior and potential for high-density storage. This model provides a new perspective on quantum information reduction and transmission, offering insights into the fundamental nature of information and its storage in superconducting systems.
This study proposes a novel physical framework for defining information as a quantized field within quantum superconductivity, introducing the concept of "informanons"—discrete matter waves associated with Cooper pairs in superconductors below their critical temperature. A new wave equation is derived to describe the dynamics of this information field in a temperature-entropy space, establishing a paradigm termed "digital quantum mechanics" distinct from conventional "analog quantum mechanics." This framework reinterprets information flow, challenging traditional probabilistic interpretations of wavefunctions and eliminating wavefunction collapse. An entropic model for quantum memory reveals an inverse-square relationship between memory capacity and stored information, suggesting superconductors enable ultra-high-density storage through quantum information compression. The findings bridge classical information theory and quantum mechanics, offering transformative implications for quantum computing and communication. While theoretical, the framework requires experimental validation to confirm informanon properties and explore applications in quantum systems.
This study proposes a novel physical framework for defining information as a quantized field within quantum superconductivity, introducing the concept of "informanons"—discrete matter waves associated with Cooper pairs in superconductors below their critical temperature. A new wave equation is derived to describe the dynamics of this information field in a temperature-entropy space, establishing a paradigm termed "digital quantum mechanics" distinct from conventional "analog quantum mechanics." This framework reinterprets information flow, challenging traditional probabilistic interpretations of wavefunctions and eliminating wavefunction collapse. An entropic model for quantum memory reveals an inverse-square relationship between memory capacity and stored information, suggesting superconductors enable ultra-high-density storage through quantum information compression. The findings bridge classical information theory and quantum mechanics, offering transformative implications for quantum computing and communication. While theoretical, the framework requires experimental validation to confirm informanon properties and explore applications in quantum systems.
A fundamental physical definition of information remains elusive despite significant advancements in computer science and existing probabilistic models. This paper introduces a novel theoretical framework proposing information as a quantized field within quantum superconductivity, aiming to bridge classical information theory with quantum mechanics. It hypothesizes the existence of informanons, discrete entities theorized as quantized matter waves linked to Cooper pairs in superconductors, serving as physical vehicles for quantum information transfer. A new wave equation is introduced to describe this information field's dynamics in a temperature-entropy space, challenging conventional spatiotemporal reliance and suggesting a new paradigm where temperature and entropy act as fundamental dimensions. Key findings indicate that Cooper pairs mediate discrete information units, leading to a reinterpretation of quantum foundations where the wavefunction depends on entropy and temperature, negating traditional probability amplitude interpretations. An entropic model reveals an inverse-square relationship between memory capacity and stored information, suggesting superconductors enable ultra-high-density storage through quantum information compression, potentially highly useful in IT sector. While theoretical, this research lays the foundation for a new understanding of information physics with profound implications for quantum computing and communication.
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/
In conventional condensed‑matter physics, transport phenomena are usually described by electric current J_E and heat current J_Q, each associated with the flow of charge or energy. In this work we introduce a fundamentally distinct quantity, the internal information current J_I, which characterises the spatial transport of quantum information within a material. By deriving a continuity equation for the local von Neumann entropy density ρ_I and identifying the corresponding flux J_I, we establish a unified framework that connects quantum information theory with transport theory. The formalism naturally incorporates coherence and entanglement as intrinsic sources of information flow, thereby revealing new mechanisms for energy conversion, quantum state control, and material functionality. We discuss potential experimental signatures in ultracold atomic lattices, solid‑state qubits, and topological insulators, and outline the implications for quantum thermodynamics, quantum sensing, and the design of next‑generation quantum devices. This novel perspective offers a pathway toward harnessing information as a physical resource in quantum matter, with prospective relevance to the Nobel‑level discovery of quantum materials that bridge information and matter.
This paper proposes the Information Entropy Physical Quantization (IEPQ) framework, a novel approach to understanding the physical nature of information entropy within the context of quantum systems. The core claim of IEPQ is that information entropy can be physically quantifiable and exhibits a fundamental correspondence with quantum states. The proposed mechanism leverages quantum information theory, mapping information entropy to the description of quantum states. Utilizing quantum measurement and entanglement, IEPQ seeks to achieve the physical manipulation and transformation of information entropy. This work delves into the mathematical formalization of this framework, outlining key concepts and potential applications, primarily focusing on the theoretical development rather than experimental validation. The goal is to establish a bridge between information theory and quantum physics, offering a new perspective on the relationship between information and reality at the fundamental level. ---