We develop a theoretical framework in which physical irreversibility is understood as a failure of information reconstruction rather than information destruction. We argue that physical systems pass through three distinct regimes: coherent quantum information, classically accessible information stabilized by decoherence and redundancy, and thermodynamically dispersed information that remains globally encoded but locally unrecoverable. Transitions between these regimes are driven by entropy growth, environmental coupling, and computational complexity, imposing sharp limits on reconstructability even under globally unitary dynamics. This framework clarifies the physical meaning of irreversibility and provides a unified interpretation of memory formation, quantum measurement, thermalization, and black hole evaporation.
We develop a theoretical framework in which physical irreversibility is understood as a failure of information reconstruction rather than information destruction. We argue that physical systems pass through three distinct regimes: coherent quantum information, classically accessible information stabilized by decoherence and redundancy, and thermodynamically dispersed information that remains globally encoded but locally unrecoverable. Transitions between these regimes are driven by entropy growth, environmental coupling, and computational complexity, imposing sharp limits on reconstructability even under globally unitary dynamics. This framework clarifies the physical meaning of irreversibility and provides a unified interpretation of memory formation, quantum measurement, thermalization, and black hole evaporation.
We present a unified operational framework for the arrow of time grounded in irreversible information loss. While microscopic physical laws are time-reversal invariant, macroscopic irreversibility arises when systems overwrite metastable records. We show that recent reversible quantum-control experiments do not reverse time, but instead operate in regimes where no logically irreversible record is created. To formalize this, we introduce the **forgetting rate** (Ξcr), a coarse-grained rate defined on physically selected metastable record states (e.g., pointer states, memory registers, or macroscopic configurations). Unlike standard entropy production, which is expressed in terms of microscopic transition asymmetry, (Ξcr) captures the **rate of irreversible record overwriting**. In this formulation, entropy production obeys the lower boundS˙irr≥kBΞcr,consistent with Landauer's principle but expressed at the level of record dynamics. Within this framework, thermodynamic, quantum-measurement, psychological, and cosmological arrows emerge as substrate-dependent manifestations of Ξcr>0. Temporal asymmetry is therefore not a single global property, but a distributed feature of physical information-processing systems. The approach naturally explains the decoupling of arrows in composite systems and identifies experimentally accessible regimes where irreversibility can be locally suppressed. This work does not introduce a new microscopic law but provides a unifying, operational reformulation that connects information thermodynamics, decoherence theory, and memory dynamics through a single coarse-grained rate.
This paper proposes a recoverability-based framework for understanding quantum measurement, addressing the long-standing measurement problem from an information-theoretic perspective. Rather than assuming a fundamental wavefunction collapse, the framework describes observation as a transition in the recoverability of phase information encoded in system–environment correlations. As interactions with the environment disperse this information, the ability to reconstruct coherent quantum states becomes effectively lost, resulting in the emergence of classical behavior. A key feature of this approach is its interpretation independence. The same formal structure accommodates both collapse and non-collapse interpretations, allowing a clear separation between observable phenomena and interpretative assumptions. In this sense, the work reframes the measurement problem not as a question of physical collapse, but as a problem of information accessibility and recoverability. The framework is connected to experimentally relevant concepts such as decoherence, interference loss, and quantum error correction, providing a unified structural perspective across quantum foundations and quantum information. This work does not introduce a new dynamical law, but instead offers a conceptual reorganization of the measurement problem, potentially serving as a bridge between existing interpretations. quantum measurementmeasurement problemdecoherencequantum informationrecoverabilitywavefunction collapsequantum foundations
Entropy-Induced Collapse (EIC) is a theoretical framework addressing the quantum measurement problem from an information-theoretic perspective. In the first paper of this series, a structural entropy threshold was introduced as the boundary separating regimes in which quantum coherence remains recoverable from those in which it becomes effectively inaccessible due to environmental entropy growth. This second paper investigates the dynamical regime preceding that threshold. Within the EIC framework, the global system–environment state evolves unitarily according to the Schrödinger equation. Interactions with the environment progressively distribute phase information associated with quantum coherence across an increasing number of environmental degrees of freedom. As this dispersal proceeds, the information required to reconstruct the original coherent state becomes increasingly delocalized. In the pre-threshold regime, this information remains, in principle, recoverable through appropriate control of system–environment correlations. However, as environmental entropy increases, practical recoverability gradually degrades, leading to an emergent form of effective irreversibility. This paper introduces a quantitative framework describing the dynamics of information dispersal and analyzes the structural conditions under which recoverability begins to break down. The analysis clarifies how environmental entanglement and entropy growth produce the appearance of irreversible measurement outcomes while preserving the underlying unitary dynamics of quantum theory. This work provides the dynamical foundation of the Entropy-Induced Collapse framework and establishes the connection between entropy growth, information recoverability, and the emergence of irreversibility in quantum measurement processes. This paper is Part II of a four-paper series developing the EIC framework: 1. Structural entropy threshold for collapse 2. Pre-threshold information recoverability dynamics (this paper) 3. False-collapse statistics in quantum error correction regimes 4. Experimental architectures and engineering tests of entropy-based collapse diagnostics
Redundancy-Limited Emergence of Classical Histories in Quantum Systems This work investigates how classical reality emerges from underlying quantum dynamics, focusing on the role of environmental information, noise, and fundamental entropy limits. In quantum theory, systems evolve into superpositions of many possible outcomes. However, in practice we observe a world with definite, classical histories. A widely accepted explanation is decoherence, in which interactions with the environment suppress interference between different quantum states. More recent developments, particularly in quantum Darwinism, emphasize that classical information becomes objective when it is redundantly recorded across many independent parts of the environment. This paper addresses a key unresolved question: how many distinct classical histories can physically exist? To answer this, we construct a minimal computational model in which a system’s history is encoded into multiple environmental fragments, each subject to noise. By computing how much information about the system can be recovered from subsets of these fragments, we identify a characteristic scale that determines how many fragments are required to reconstruct the system’s history. Our results reveal a simple and robust relationship: the ability to recover classical information depends on the entropy of the noise affecting environmental records. As noise increases, more fragments are required to reconstruct a history, reflecting a loss of distinguishability. This leads to the definition of a “recoverability factor,” which quantifies how efficiently entropy can be converted into usable, classical information. We then connect this information-theoretic result to fundamental bounds from gravitational physics. In particular, existing entropy bounds limit the total amount of information that can pass through a region of spacetime. We show that only a fraction of this entropy—determined by the recoverability factor—can contribute to distinguishable classical histories. This leads to a new principle: the number of classical histories is not limited only by total entropy, but by the efficiency with which that entropy can be encoded, preserved, and accessed. Applying this framework to cosmological entropy estimates, we derive explicit upper bounds on the number of distinguishable classical histories in the observable universe. While this number is extraordinarily large, it is nonetheless finite and strongly constrained by both entropy and noise. These results refine the standard picture of quantum branching. While quantum theory allows a vast number of possible outcomes, only a subset can become physically meaningful in the sense of being stable, redundantly recorded, and accessible to observers. More broadly, this work provides a quantitative bridge between decoherence theory, information theory, and gravitational entropy bounds. It suggests that classical reality is fundamentally constrained not just by physical laws governing entropy, but by the efficiency of information transfer within those constraints.
We present an operational account of quantum measurement in which outcome definiteness and irreversibility arise from causal structure, decoherence, and computational constraints rather than from fundamental collapse. We show that in any globally unitary quantum system with environmental coupling and nontrivial causal partitioning, no physically realizable observer can access all information pathways simultaneously. As a result, observer-dependent descriptions—definite outcomes for embedded observers and coherent superpositions for external observers—are mutually consistent and cannot lead to operational contradiction. This framework resolves Wigner-type measurement paradoxes and clarifies the origin of irreversibility without modifying quantum mechanics.
Abstract The transition from microscopic reversible dynamics to macroscopic irreversible thermodynamics in statistical mechanics, the transformation from pure states to mixed states during quantum decoherence, and the transition from quantum superposition states to classical definite states in quantum measurement have long been regarded as three independent fundamental physical puzzles. This paper demonstrates that the three processes share a unified mathematical root: the filtering, truncation or projection of system degrees of freedom renders the information carried by partial degrees of freedom unreconstructable within the reduced description framework, and irreversibility spontaneously emerges in the remaining description space. Based on the rigorous derivation of Hilbert’s sixth problem proposed by Deng et al., Zurek’s environment-induced decoherence theory, and the three-stage model of temporal relativity proposed by the author, this paper extracts the mathematical structure of the three types of physical processes and constructs an axiomatic unified framework. This paper further clarifies that various filtering operations are essentially equivalent to the selection of reference frames by the observation system; any descriptive subject with finite information bandwidth must select a reference benchmark, and the arrow of time is an emergent characteristic of this selection behavior under reduced description. This paper distinguishes between global information conservation and local unreconstructable information, emphasizing that the theoretical framework does not violate unitary quantum evolution, and proposes quantitative predictions verifiable by attosecond physics and superconducting quantum experiments.