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A Temporal Interpretation of Quantum Measurement (Revised and Clarified Formulation)

Roberto Carlos Moleirinho Batista

Published Dec 26, 2025• 0 citations
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Abstract

Abstract This article presents a revised and conceptually refined formulation of a previously proposed Temporal Interpretation of quantum measurement, explicitly addressing the physical nature of wavefunction collapse. While the original proposal emphasised relativistic aspects of momentum superpositions, the present work clarifies the interpretation within the standard formalism of quantum mechanics, without introducing new dynamics or experimental predictions. Unitary evolution is read as a process of differentiated phase accumulation between branches of a quantum state. In relativistic contexts, phase differentials can be structurally related to effective proper-time differentials, allowing the introduction of a notion of temporal compatibility that provides a physically grounded account of decoherence. When such differentials exceed a characteristic scale, interference between branches becomes operationally inaccessible, while global unitarity is preserved. The observer is treated as a physical system endowed with an irreversible proper time associated with macroscopic, entropic dynamics. Within this framework, collapse is explained as an emergent physical phenomenon arising from the irreversibility of the observer’s proper time, which prevents the reconstruction of phase coherence after an interaction. Collapse is therefore neither a fundamental dynamical mechanism nor an objective event in space-time, but a necessary consequence of temporal irreversibility in physical observers. This formulation sharpens the distinction between decoherence and collapse, preserves full consistency with the Born rule, and positions the Temporal Interpretation as a competing interpretative framework that provides a concrete physical explanation for the quantum–classical transition, improving and clarifying the original proposal. This version clarifies the operational status of the interaction time, refines Sections 5.3 and 5.4, and standardises references and editorial structure. No changes to the formalism or conclusions.

DOI
10.5281/zenodo.18061159

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Abstract This article presents a revised and conceptually refined formulation of a previously proposed Temporal Interpretation of quantum measurement, explicitly addressing the physical nature of wavefunction collapse. While the original proposal emphasised relativistic aspects of momentum superpositions, the present work clarifies the interpretation within the standard formalism of quantum mechanics, without introducing new dynamics or experimental predictions. Unitary evolution is read as a process of differentiated phase accumulation between branches of a quantum state. In relativistic contexts, phase differentials can be structurally related to effective proper-time differentials, allowing the introduction of a notion of temporal compatibility that provides a physically grounded account of decoherence. When such differentials exceed a characteristic scale, interference between branches becomes operationally inaccessible, while global unitarity is preserved. The observer is treated as a physical system endowed with an irreversible proper time associated with macroscopic, entropic dynamics. Within this framework, collapse is explained as an emergent physical phenomenon arising from the irreversibility of the observer’s proper time, which prevents the reconstruction of phase coherence after an interaction. Collapse is therefore neither a fundamental dynamical mechanism nor an objective event in space-time, but a necessary consequence of temporal irreversibility in physical observers. This formulation sharpens the distinction between decoherence and collapse, preserves full consistency with the Born rule, and positions the Temporal Interpretation as a competing interpretative framework that provides a concrete physical explanation for the quantum–classical transition, improving and clarifying the original proposal. This version clarifies the operational status of the interaction time, refines Sections 5.3 and 5.4, and standardises references and editorial structure. No changes to the formalism or conclusions.
The quantum measurement problem arises from a structural asymmetry in standard formulations of quantum mechanics: while unitary evolution is treated as fundamental, irreversible events are introduced only through ad hoc postulates. As a result, measurement, decoherence, and probability appear conceptually disconnected. In this work, we propose a minimal reformulation in which irreversible interaction events are taken as ontological primitives. An event is defined as a completely positive, trace-preserving map that is not equivalent to any unitary transformation. Unitary evolution emerges as an effective description valid between events. Within this framework, quantum measurement is not a special process but a particular class of irreversible events with outcome-resolving structure. The Born rule arises naturally from the statistical structure of event realizations, and environmental decoherence is reinterpreted as a high density of irreversible events. No collapse postulate, observer-dependent rule, or modification of quantum dynamics is required. This formulation provides a unified and physically grounded resolution of the measurement problem and establishes a conceptual foundation for event-based extensions connecting quantum theory with spacetime and gravity.
This paper provides a conservative reinterpretation of wavefunction collapse within the Scalar Temporal Field Ontology (STFO), in which time is represented as a strictly monotonic scalar field τ(x). Measurement is treated as an environmentally-induced process of temporal stabilization of macroscopic record sectors along τ. It is shown that collapse does not correspond to a dynamical discontinuity, observer-dependent postulate, or modification of unitary quantum evolution. Instead, collapse is identified with the irreversible loss of τ-coherence between record sectors due to environmental coupling, resulting in restriction of future inference to a single τ-stable sector. Non-realized branches are not eliminated but become temporally disconnected from the observer’s future trajectory along τ. The account is fully compatible with standard decoherence theory and environment-induced superselection (einselection), while supplying a physical temporal arrow governing irreversibility. The paper preserves the empirical content of quantum mechanics and reframes collapse as a temporal phenomenon rather than a fundamental dynamical process.
Quantum mechanics lacks a physical definition of measurement, observer, probability, and experienced time. These notions are instead treated as primitive or interpretation-dependent, leading to persistent foundational problems including the measurement problem, the origin of the Born rule, observer disagreement in Wigner’s Friend scenarios, the arrow of time, and apparent information loss in black hole evaporation. In this work, we show that these problems share a single missing ingredient: the absence of an operational definition of observers as bounded physical systems. We define observers as physically realizable systems capable of forming irreversible internal records under unitary dynamics. Measurement is identified with record formation, probability with record redundancy, experienced time with record accumulation, and irreversibility with computational inaccessibility rather than non-unitarity. Using decoherence and quantum Darwinism, we show that the number of accessible, decoherence-stable records associated with an outcome scales with the squared amplitude, yielding the Born rule from record counting without invoking collapse, subjective probability, or additional axioms. Observer-relative paradoxes dissolve once outcome definiteness is indexed to record formation rather than to the global quantum state. Reconstruction of global quantum information is shown to require exponential resources, rendering measurement and black hole evaporation operationally irreversible despite global unitarity. The resulting framework closes quantum mechanics conceptually by eliminating undefined primitives, without modifying its mathematical structure or introducing new dynamical postulates.
The collapse of the wave function remains one of the deepest puzzles in quantum mechanics. The Schrödinger equation is unitary and time-reversal symmetric, yet measurement requires an additional postulate that is neither—and we have no physical explanation for why. Existing interpretations either deny that collapse is real (Many-Worlds), treat it as purely subjective (QBism), or add stochastic noise by hand without deriving it from fundamental principles (GRW, CSL). We demonstrate that collapse is a real physical process requiring fundamentally irreversible dynamics. No purely unitary, time-symmetric theory can account for the objective suppression of macroscopic superpositions—irreversibility must be built into the dynamics from the start. We introduce a minimal extension of quantum mechanics through coupling to a universal scalar field (the I-field) governed by an explicit time-asymmetric field equation. Collapse emerges objectively through deterministic dissipative dynamics, with no reference to observers, measurement devices, or stochastic noise. By integrating out the I-field degrees of freedom, we derive effective Lindblad dynamics for quantum systems. The collapse rate scales quadratically with system mass, ensuring microscopic quantum coherence remains intact while macroscopic superpositions are dynamically suppressed. Unlike stochastic collapse models (GRW/CSL), the mechanism is deterministic and produces no spontaneous heating. Unlike gravitational collapse proposals (Diósi-Penrose), it provides explicit field equations rather than heuristic arguments. Unlike environmental decoherence, the irreversibility is fundamental rather than effective. The theory respects relativistic causality and makes testable predictions for current and near-future experiments in matter-wave interferometry, optomechanical systems, and molecular interferometry. Observation of mass-dependent decoherence without accompanying stochastic heating would provide strong evidence for the I-field mechanism. The framework establishes irreversibility as a fundamental interaction rather than an emergent phenomenon, providing a unified physical origin for both wave function collapse and the quantum arrow of time.
This work re-examines the long-standing interpretation problems of quantum mechanics—measurement, collapse, probability, irreversibility, the observer, and entanglement—not by proposing a new physical theory, but by relocating the structure of the questionsthat have framed these problems. The paper argues that many interpretational tensions arise not from the formalism itself,but from how concepts such as measurement, state, time, and probability have beenpositioned within the explanatory structure. Measurement is treated not as a privilegedphysical event, but as a structural condition associated with record formation.Collapse is interpreted as the unavoidable fixation of perspective once such records exist,rather than as a dynamical process added to the theory. Time is relocated from a global background parameter to a local phenomenon that appearsonly while interactions remain unresolved. Irreversibility is accordingly understoodnot as a fundamental temporal direction, but as the closure of a perspective.Probability is reinterpreted not as future uncertainty or intrinsic randomness,but as a structural summary of how multiple interactions close in the present. The observer is not treated as an external subject or agent, but as a boundary positionat which correlations between system and environment become fixed.Entanglement is understood not as nonlocal influence, but as the manifestation ofan indivisible whole structure that cannot be decomposed into independent parts. This work does not modify the mathematical formalism or predictive success of quantum mechanics.Instead, it constrains the interpretational space by showing how different questionsabout the same formal results generate persistent disagreement.The contribution is therefore conceptual rather than predictive,and is intended as a foundation for further discussion in quantum foundationsand phase-based theoretical frameworks.
Abstract The physical status of time remains one of the most persistent open questions in fundamental physics. In quantum mechanics, time appears as an external parameter governing evolution but not as an observable, while in general relativity it is embedded in the geometric structure of spacetime and becomes observer-dependent. Despite their empirical success, neither framework explains the physical origin of time or its singular role among fundamental quantities. In this work, we propose an emergent interpretation of physical time grounded in quantum phase. Phase is treated as a pre-temporal structural feature of quantum systems, rather than as a quantity defined with respect to an underlying temporal parameter. Energy is interpreted as a relational characterisation of regularities in phase structure, and proper time emerges only in contexts where phase accumulation can be compared and synchronised between interacting systems. An isolated quantum system may possess phase, but it does not possess physical time in the operational sense; time arises only through relational compatibility. This approach does not introduce new fundamental dynamics nor posit a physical mechanism responsible for the generation of time. Instead, it establishes an ontological hierarchy in which phase is fundamental, energy is relational, and time is a phenomenological quantity that emerges from stable conditions of synchronisation. Within this framework, classical reality corresponds to domains of temporal compatibility, while loss of compatibility underlies the emergence of horizons and geometric structure. By reframing time as an emergent relational phenomenon rooted in quantum phase, this work provides a coherent interpretative framework in which the absence of a time operator in quantum mechanics and the difficulty of quantising time and gravity are understood as consequences of their non-fundamental status, rather than as shortcomings of existing formalisms.