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The Eliminative Approach to the Quantum Measurement Problem: Contextual Elimination Over "Collapse"

Bülent KUŞÇU

Published Dec 24, 2025• 0 citations
Publisher

Abstract

The persistent quantum measurement problem stems from the "selection paradigm" inherent in the standard (Copenhagen) interpretation, which posits an active "collapse" of the wave function upon measurement. This study reframes the problem using the Eliminative Methodology as previously formalized by the author [1]. This methodology shifts the explanatory framework from "selection" to "elimination." We argue that the measurement device does not act as a selector but creates a physically restrictive context—governed by epistemic, ontological, and methodological constraints—in which quantum superpositions cannot be sustained. The observed definite outcome is interpreted not as a randomly chosen state but as the Passive Singularity: the single structure that remains non-eliminated after all contextually incompatible possibilities are filtered out. This approach naturally integrates with decoherence theory, avoids metaphysical pitfalls of other interpretations, and offers a parsimonious resolution to the problem by focusing on what is excluded by physical context rather than on what is mysteriously chosen. Keywords: Quantum measurement problem, eliminative methodology, decoherence, contextual reality, passive singularity, quantum foundations.

DOI
10.5281/zenodo.18043773

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The persistent quantum measurement problem stems from the "selection paradigm" inherent in the standard (Copenhagen) interpretation, which posits an active "collapse" of the wave function upon measurement. This study reframes the problem using the Eliminative Methodology as previously formalized by the author [1]. This methodology shifts the explanatory framework from "selection" to "elimination." We argue that the measurement device does not act as a selector but creates a physically restrictive context—governed by epistemic, ontological, and methodological constraints—in which quantum superpositions cannot be sustained. The observed definite outcome is interpreted not as a randomly chosen state but as the Passive Singularity: the single structure that remains non-eliminated after all contextually incompatible possibilities are filtered out. This approach naturally integrates with decoherence theory, avoids metaphysical pitfalls of other interpretations, and offers a parsimonious resolution to the problem by focusing on what is excluded by physical context rather than on what is mysteriously chosen. Keywords: Quantum measurement problem, eliminative methodology, decoherence, contextual reality, passive singularity, quantum foundations.
The quantum measurement problem is commonly framed as a tension between unitary microscopic dynamics and the appearance of definite macroscopic outcomes. Decoherence theory explains the suppression of interference but does not explain why a single, persistent outcome is realized rather than a superposition of mutually incompatible macroscopic records. Interpretive responses—including collapse models, many-worlds branching, and observer-centric accounts—add ontological or epistemic structure beyond standard quantum mechanics. In this work, we show that such supplementation is unnecessary. We demonstrate that decoherence alone is generically insufficient to stabilize consistent macroscopic measurement histories under irreversible record formation. We introduce history-level coherence selection as a minimal structural requirement for persistent outcomes. This mechanism operates without modifying unitary dynamics, introducing collapse postulates, or invoking observers. We show that measurement outcomes correspond to stable, selection-supported histories rather than instantaneous state reductions. This reframing resolves the measurement problem by identifying the missing macroscopic mechanism—history selection under irreversible constraint—rather than by altering quantum theory. Keywords: quantum measurement problem, history selection, decoherence insufficiency, classical records, interpretation of quantum mechanics, consistent histories, irreversibility, information flow, foundational physics, measurement theory
The quantum measurement problem remains a central unresolved issue in theoretical physics, arising from the incompatibility between unitary quantum dynamics and the emergence of definite measurement outcomes. Closely related is the question of the physical status of the wavefunction within contemporary quantum theory. This review critically surveys leading approaches to the measurement problem, focusing on their formal consistency, physical assumptions, and empirical implications. We examine the standard measurement framework, the role of environment-induced decoherence and quantum Darwinism, and the restrictions imposed by no-go theorems such as Bell, Kochen–Specker, and Pusey–Barrett–Rudolph. Interpretations including Everettian many-worlds, Bohmian mechanics, spontaneous collapse models, relational quantum mechanics, QBist approaches, and Copenhagen-type frameworks are assessed in terms of their ability to account for classical definiteness without sacrificing empirical adequacy. We also review experimental efforts probing macroscopic superpositions and collapse dynamics. The analysis indicates that, despite its predictive success, quantum theory lacks a complete physical account of outcome selection. This suggests that the measurement problem reflects a fundamental structural limitation of current theory, motivating either new physical principles or a redefinition of the wavefunction’s ontological role.
This paper presents a philosophical analysis of quantum mechanics, the measurement problem, the observer problem, decoherence, and quantum interpretation. It argues that the central difficulty in quantum mechanics is not only technical but interpretive: the theory has extraordinary predictive power without a single settled account of what is happening physically or ontologically. The paper frames this as an answerability problem, asking how interpretations should be judged when formal success outruns explanatory closure. It separates several meanings of observation—interaction, coupling, record formation, information update, and conscious awareness—and shows how collapsing these layers creates confusion in both physics and philosophy. It then compares major interpretations including Copenhagen, Many-Worlds, Bohmian mechanics, objective collapse, QBism, relational quantum mechanics, and consistent histories, treating them as different ways of stabilizing explanatory burden around an underconstrained formal core. The paper also argues that decoherence is crucial for understanding record stability and the appearance of classicality, but does not by itself solve the single-outcome problem. Overall, the paper offers a clear framework for thinking about quantum foundations, scientific explanation, ontology, observation, and philosophy of science without overstating what current theory can responsibly claim.
The quantum measurement problem — the question of what physically occurs when a quantum system yields a definite outcome upon measurement — has remained unresolved since von Neumann's formalization of quantum mechanics in 1932. Existing interpretational frameworks each address aspects of this problem while leaving a specific mechanistic gap unfilled. The Copenhagen interpretation declares collapse without explaining it. The many-worlds interpretation removes collapse but cannot specify the preferred measurement basis. Pilot wave theory identifies a guiding field without identifying what it is. Relational quantum mechanics correctly describes the relational structure of measurement outcomes without specifying the physical process by which relational facts are established. Decoherence theory specifies which outcomes are available through environmental selection without explaining which outcome actually occurs. In each case the effect of measurement is described with precision while the mechanism remains absent. This paper proposes that the Dimensional Evolution geometric framework provides that mechanism. Wavefunction collapse is resonant selection — the stabilization of a specific harmonic configuration when an observer's resonance structure synchronizes with a quantum system's scan traversal through a completed entropic pathway. This is not a metaphysical claim. It is a physically grounded geometric process from which the measurement postulates of standard quantum mechanics emerge as derived consequences rather than foundational axioms. The Born rule reflects the fractal exponential geometry of the coherence manifold. The preferred basis is geometrically specified by observer-system resonance compatibility. The measurement cut dissolves into a continuous spectrum of resonance stability requiring no quantum-classical boundary. The definite outcome problem is resolved by resonant synchronization completing — a deterministic geometric event whose apparent randomness reflects incomplete knowledge of resonance conditions rather than fundamental indeterminacy. The paper maps DE's resonant selection mechanism against each major interpretation, identifying precisely where DE does explanatory work each interpretation cannot. Three testable experimental predictions are proposed — geometry-dependent collapse timing, resonance-bandwidth-dependent outcome distributions, and a geometric memory effect in measurement apparatus — each grounded in physical principles confirmed at other scales and each distinguishable from standard quantum mechanical and decoherence predictions. The implications of this account for the Heisenberg uncertainty relation are identified as a priority for subsequent formal development.
The quantum-to-classical transition — the disappearance of quantum superposition, interference, and entanglement at macroscopic scales — is standardly explained through decoherence: environmental entanglement suppresses interference terms, making macroscopic superpositions effectively unobservable. Decoherence is mathematically rigorous and empirically well-confirmed, but it faces a persistent philosophical limitation: it explains the appearance of classicality without fully accounting for its ontology. The measurement problem survives decoherence because decoherence does not explain why quantum systems produce definite outcomes, why the pointer basis is selected, or what it means for a macroscopic object to have a determinate state rather than merely appearing to have one. This paper argues that Constraint Theory (CT) — the thesis, established by transcendental argument, that constraint is the ontological primitive constitutive of determinate existence as such — provides the ontological grounding that decoherence theory presupposes but does not supply. On the CT account, quantum superposition is open constraint configuration: the genuine ontological openness of a possibility space that has not been closed by the system’s constraint profile or its environmental interactions. Macroscopic determinacy is closed constraint configuration: the progressive closure of macroscopic possibility spaces by the cumulative propagation of environmental constraint into the system’s profile at a rate that overwhelms quantum coherence. Decoherence is the process by which environmental constraint propagation closes possibility spaces; CT explains why this closure has the ontological consequences it does rather than merely the epistemic consequences that the standard account describes. The pointer basis selection problem receives a principled CT resolution: the pointer basis is the constraint-stable basis, the set of states whose constraint pro files are robust under the specific pattern of environmental constraint propagation. The measurement problem is reframed as the question of which branch of an open constraint configuration is closed by a measurement interaction, a question that CT narrows to its irreducible residual without dissolving prematurely. The mesoscopic regime — where quantum behaviour persists at scales larger than individual particles — is explained as the regime of partial constraint closure: systems whose environmental coupling is sufficient to close some but not all dimensions of their possibility space. The paper engages the principal interpretations of quantum mechanics and the philosophical literature on decoherence, situating the CT account as an ontological foundation compatible with multiple interpretive positions.
Quantum mechanics famously posits two distinct evolution rules for the state of a system: a deterministic, unitary time evolution under the Schr¨odinger equation, and a probabilistic “collapse” of the wavefunction upon measurement as dictated by the Born rule. The apparent inconsistency of these two dynamical laws – one continuous and one discontinuous – constitutes the quantum measurement problem. This foundational problem, which underlies the emergence of definite outcomes from quantum superpositions, has persisted since the theory’s inception. In this review, we present a comprehensive and rigorous examination of the measurement problem and survey the leading approaches that seek to resolve or circumvent it. We begin by formulating the measurement problem and its conceptual challenges. We then discuss in detail the major interpretations of quantum mechanics and theoretical frameworks addressing the problem: the Copenhagen interpretation, Everett’s many-worlds interpretation, de Broglie–Bohm pilot-wave theory, objective collapse models, the role of decoherence and environment-induced superselection, and epistemic approaches such as QBism. For each interpretation, we describe the core principles and mathematical formalism, assessing how (and whether) it attempts to solve the measurement problem. We also review modern developments and experiments relevant to quantum measurements, including tests of Bell inequalities, observations of decoherence and macroscopic superpositions, weak measurements and quantum eraser experiments, and thought experiments ‘a la Wigner’s friend. We highlight how these results inform the ongoing debate. Finally, we discuss open problems and challenges that remain in fully resolving the measurement problem.