An information-theoretic perspective on the foundations of quantum mechanics

V. Johnson

Koizumi Takao

Entropy-Induced Collapse (EIC) is a theoretical framework that approaches the quantum measurement problem from an information-theoretic perspective. In standard quantum mechanics, the Schrödinger equation describes deterministic unitary evolution of quantum states. However, measurements appear to produce definite classical outcomes. The physical mechanism underlying the transition from coherent quantum superpositions to classical definiteness remains one of the central unresolved issues in the foundations of quantum theory. The Entropy-Induced Collapse framework proposes that collapse-like behavior can be understood as a structural transition in information recoverability rather than as a fundamental stochastic process or a modification of quantum dynamics. In this framework, the global system–environment state evolves unitarily according to the Schrödinger equation. Interactions with the environment progressively distribute phase information across a growing number of environmental degrees of freedom. As long as this information remains recoverable in principle, quantum coherence can be reconstructed. However, once environmental entropy exceeds a critical structural threshold, the information required to reconstruct the coherent state becomes effectively inaccessible. From this perspective, the apparent collapse of the wavefunction corresponds to a transition from recoverable to irrecoverable information rather than to a fundamental dynamical discontinuity. The EIC framework therefore preserves the standard dynamical laws of quantum mechanics while providing a structural explanation for the emergence of classical measurement outcomes. This paper presents the conceptual and structural foundations of the Entropy-Induced Collapse framework. It is the first paper in a four-part research series that develops the EIC framework from theoretical foundations to experimental and engineering implications. The series is organized as follows: 1. Structural entropy threshold for collapse (this paper) 2. Pre-threshold information recoverability dynamics 3. False-collapse statistics in quantum error-correction regimes 4. Experimental architectures and engineering tests of the EIC framework Together, these papers aim to provide a coherent theoretical structure linking quantum measurement, environmental entropy growth, quantum error correction, and experimentally testable diagnostics of collapse-like phenomena.

Simon J. Gay

The study of computational processes based on the laws of quantum mechanics has led to the discovery of new algorithms, cryptographic techniques, and communication primitives. This book explores quantum computation from the perspective of the branch of theoretical computer science known as semantics, as an alternative to the more well-known studies of algorithmics, complexity theory, and information theory. It collects chapters from leading researchers in the field, discussing the theory of quantum programming languages, logics and tools for reasoning about quantum systems, and novel approaches to the foundations of quantum mechanics. This book is suitable for graduate students and researchers in quantum information and computation, as well as those in semantics, who want to learn about a new field arising from the application of semantic techniques to quantum information and computation.

Masahito Hayashi, Satoshi Ishizaka, Akinori Kawachi +2 more

悠斗 小川

This paper explores the relationship between consciousness and future information from a quantum mechanical perspective and proposes an experimental framework for empirical validation. Classical causality suggests that future events do not influence the present; however, non-locality and time symmetry in quantum mechanics suggest that future states may exert an influence on the present.We introduce a probabilistic framework and investigate the inequality P(C_t | F) \neq P(C_t), which suggests that future information influences present consciousness. The theoretical model is supported by the following considerations:1.Delayed-Choice Quantum Effects: Future measurements in quantum systems have been shown to influence past states, suggesting a possible analogy for consciousness.2.Wave Function Evolution and Future Constraints: The state evolution equation is modified by a correction term proportional to future constraints, described as \hat{H}^{\prime} \Psi (t) = i \hbar \frac{d}{dt} \Psi (t) + \lambda F.3.Experimental Framework: We propose an experimental methodology to test this hypothesis through EEG measurements, delayed stimulus presentations, and statistical analyses of brain activity under predetermined future conditions.This work lays the foundation for testing the causal influence of future information on consciousness and provides a new perspective on the intersection between quantum mechanics and cognitive science.

Rocco Duvenhage