Abstract This paper presents a novel interpretation of wavefunction collapse grounded in quantum information theory. We propose that collapse is not triggered by observation itself, but by a quantized increase in a system's informational entropy. Specifically, we introduce a threshold condition: collapse occurs only when the von Neumann entropy of the system exceeds a critical value, δIc, due to entanglement with the environment. This reframing allows wavefunction collapse to be understood as an objective, testable process driven by entropy flow, rather than subjective measurement. We formalize this framework using mathematical postulates and simulate its behavior in canonical quantum setups, including the double-slit experiment, spin measurement, and Schrödinger’s cat. The model not only aligns with known phenomena but also makes falsifiable predictions—suggesting that collapse is conditional and occurs only beyond an entropy threshold. This provides a new lens on the quantum measurement problem and opens experimental paths for validating information-induced collapse.
Abstract This paper presents a novel interpretation of wavefunction collapse grounded in quantum information theory. We propose that collapse is not triggered by observation itself, but by a quantized increase in a system's informational entropy. Specifically, we introduce a threshold condition: collapse occurs only when the von Neumann entropy of the system exceeds a critical value, δIc, due to entanglement with the environment. This reframing allows wavefunction collapse to be understood as an objective, testable process driven by entropy flow, rather than subjective measurement. We formalize this framework using mathematical postulates and simulate its behavior in canonical quantum setups, including the double-slit experiment, spin measurement, and Schrödinger’s cat. The model not only aligns with known phenomena but also makes falsifiable predictions—suggesting that collapse is conditional and occurs only beyond an entropy threshold. This provides a new lens on the quantum measurement problem and opens experimental paths for validating information-induced collapse.
The quantum measurement problem — why and when the wavefunction collapses — remains a deep conceptual challenge. Existing interpretations either invoke consciousness, eliminate collapse, or leave it as an ill-defined primitive. Here, we propose a minimalist, falsifiable model: the Information Storage Threshold (IST). The IST postulates that wavefunction collapse occurs when, and only when, a physical system creates a classically irreversible record of information about a quantum event, and the rate at which such records are created exceeds a critical threshold I_c. The model treats all physical systems — cameras, AI, biological neural networks, sand grains — as potential observers, provided they irreversibly store information above I_c. We show that the IST is consistent with key experimental challenges, including interaction-free measurements and quantum eraser experiments. We provide a quantum circuit simulation, implemented on IBM Qiskit, providing proof-of-concept evidence for the predicted threshold behavior: a sigmoidal collapse probability as a function of measurement strength. The model yields concrete, testable predictions: (1) weak-measurement detectors operating below I_c will not cause collapse; (2) a stateless AI will not collapse the wavefunction, while a stateful one will; (3) the collapse probability follows a sigmoidal function of the detector bitrate. The IST is decisively falsified if an experiment demonstrates collapse without any classical record, or if the collapse probability is independent of the recording rate. This model operationalizes John Wheeler's "It from Bit" into a quantitative, testable framework.
Description This paper proposes a framework in which quantum measurement collapse emerges as an intrinsic dynamical process in a quantum informational field. Using entropy-regularized optimal transport (Schrödinger bridge theory) together with threshold phenomena in high-dimensional systems, collapse is interpreted as an entropy-minimizing transport process that concentrates informational coherence. Within this framework, quantum waves are treated as carriers of quantum information forming a chaotic informational field from which coherent structures may emerge. The approach connects Schrödinger bridge dynamics, threshold behavior in subsystem purity, and the path-integral formulation of quantum mechanics. Collapse is therefore interpreted as a field-intrinsic process rather than a consequence of observer intervention. The paper further explores implications for quantum information theory, Quantum Darwinism, and informational approaches to consciousness, suggesting experimentally testable signatures for coherence thresholds in complex quantum systems.
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.
The quantum measurement problem — why and how a wavefunction in superposition collapses to a definite state upon observation — remains unresolved after a century of quantum mechanics. Existing interpretations (Copenhagen, Many-Worlds, Bohmian mechanics, Decoherence, Relational QM) each address the problem partially, yet none provides a unified physical mechanism grounded in established information-theoretic quantities. This paper introduces Resonant Emergence Theory (RET), a new interpretive framework that identifies wavefunction collapse as a Resonance Event — the moment at which the quantum state of a system achieves sufficient information-theoretic overlap with the Bold Memory (BM) structure of its environment.RET operationalises Bold Memory as the von Neumann entropy S(ρ_env) of an environmental system, Temporary Memory (TM) as the incoming quantum state (density matrix) of the system under observation, and Resonance as quantum fidelity F(ρ_TM, ρ_env). The collapse condition is formally expressed as R(TM, BM_env) × S(ρ_env) ≥ θ_c, where θ_c is a critical information-density threshold. This formulation is shown to be consistent with, and an extension of, the Lindblad master equation and standard decoherence theory, while providing a physical interpretation of why the environment causes wavefunction collapse.Five postulates are presented: superposition as unresolved continuity, measurement as a resonance event (requiring no conscious observer), wave-particle duality as pre- and post-resonance phases, entanglement as shared BM structure (no FTL communication), and quantum coherence as the cost of continuity. Three falsifiable experimental predictions are proposed, including a BM-threshold experiment feasible with current cavity QED technology. A companion interactive simulator (RET Lab v1.0) is publicly available at https://doi.org/10.5281/zenodo.19427072.
We present an observer-independent, basis-independent, non-perturbative criterion for wave function collapse: an interaction constitutes a genuine actualization event — a wave function collapse in the ontologically real sense — if and only if it produces an irreversible increase ΔS(ρ‖σ₀) > 0 in the quantum relative entropy of the system state ρ with respect to the Minkowski vacuum state σ₀. The criterion requires no observer, no Heisenberg cut, and no preferred foliation. In weakly coupled quantum field theory it coincides exactly with the on-shell condition pᵘpᵤ = m²c², recovering the perturbative picture as a special case. Off-shell (virtual) processes satisfy ΔS = 0 and are not actualization events. This criterion dissolves — rather than solves — the measurement problem: the question "why does a definite outcome occur?" becomes "why did this interaction produce an irreversible environmental record?", which is a question about interaction physics, not quantum foundations. The Schrödinger's cat paradox resolves cleanly: a real cat is a densely self-coupled actualization network, never in superposition; the isotope alone is the locus of genuine quantum indeterminacy. Three experimental predictions discriminate this framework from all current interpretations: (1) a finite actualization propagation velocity bounded by the Lieb-Robinson speed v_LR ~ Jℓ/ℏ, producing a measurable time delay Δt ≥ |r_A − r_B|/v_LR before decoherence propagates between sites; (2) an environment-dependent transition duration τ_act ~ ℏ/ΔE_env with universal slope dτ_act/d(1/ΔE_env) = ℏ, testable by tuning environmental coupling in superconducting circuits; and (3) a sharp reversibility threshold ΔS* above which quantum transitions cannot be undone regardless of intervention, in contrast to dynamical collapse models (no sharp threshold), Everett (no genuine threshold), and decoherence-only accounts (no irreversibility). The Rindler consistency check is formally verified in Lean 4: the Rindler thermal state satisfies ΔS(ρ_β‖σ₀) = 0 under modular flow (theorem rindler_stationarity in RA_AQFT_Proofs_v10.lean), confirming that no actualization event occurs in the Minkowski vacuum for either an inertial or uniformly accelerating observer. Frame independence — S(UρU†‖σ₀) = S(ρ‖σ₀) for any unitary U — is also formally verified (theorem frame_independence).
The quantum measurement problem (QMP), epitomized by the Einstein-Podolsky-Rosen paradox, has resisted resolution for nearly a century. Traditional interpretations—Copenhagen, many-worlds, decoherence, objective collapse—leave unresolved the ontological nature of collapse. We propose a new framework: collapse is not observer-induced but intrinsic to the quantum-informational field, carried by qiwaves. Using entropy-regularized optimal transport (Schrödinger bridge theory), threshold phenomena (Park-Pham's proof of the Kahn-Kalai conjecture), and stability results from Alessio Figalli's work on optimal transport, we formalize collapse as an inevitable informational phase transition. This integration elevates Feynman's heuristic path integral into a rigorous mathematical formalism. Consciousness is reframed as the witness to coherence, not its cause. This synthesis provides a mathematically precise resolution to the measurement problem and opens pathways for interdisciplinary exploration across physics, information theory, and cognitive science.