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The Empirical Distinguishability of Quantum Interpretations

Jeffrey Satinover

Published Sep 30, 2026• 0 citations
Publisher

Abstract

Quantum experiments constrain physical descriptions with extraordinary precision, yet several disagreements about quantum reality remain unresolved. Their persistence has different causes that require different responses. This article distinguishes exact agreement of predictions, inadequate statistical resolution, uncertain background dynamics, restricted access to records, conditional exclusion by no-goresults, and incomplete predictive specification. It develops a comparative framework in which distinguishability belongs to specified formulations and experimental domains rather than to interpretation names. A critical review connects philosophical work on underdetermination, Pessoa’s account of relations between experiments and interpretations, and recent statistical approaches to quantum tests. Likelihood equality clarifies the limits of differential confirmation, while identification of individual claims explains how experiments can establish physical structure without determining a complete ontology. Two analytic examples make the distinction practically consequential: a collapse contrast with bounded background uncertainty, and an observer-record model in which inaccessible information limits discrimination. The examples show when additional data help, when calibration or coherent access is required, and when no improvement within the stipulated domain can decide the comparison. The resulting assessment rejects both unrestricted empirical equivalence and claims that particular experiments uniquely establish a favored interpretation. It specifies the additional predictions, controls, and outcomes needed to make those claims evidentially meaningful.

DOI
10.20944/preprints202609.2691.v1

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Quantum experiments constrain physical descriptions with extraordinary precision, yet several disagreements about quantum reality remain unresolved. Their persistence has different causes that require different responses. This article distinguishes exact agreement of predictions, inadequate statistical resolution, uncertain background dynamics, restricted access to records, conditional exclusion by no-goresults, and incomplete predictive specification. It develops a comparative framework in which distinguishability belongs to specified formulations and experimental domains rather than to interpretation names. A critical review connects philosophical work on underdetermination, Pessoa’s account of relations between experiments and interpretations, and recent statistical approaches to quantum tests. Likelihood equality clarifies the limits of differential confirmation, while identification of individual claims explains how experiments can establish physical structure without determining a complete ontology. Two analytic examples make the distinction practically consequential: a collapse contrast with bounded background uncertainty, and an observer-record model in which inaccessible information limits discrimination. The examples show when additional data help, when calibration or coherent access is required, and when no improvement within the stipulated domain can decide the comparison. The resulting assessment rejects both unrestricted empirical equivalence and claims that particular experiments uniquely establish a favored interpretation. It specifies the additional predictions, controls, and outcomes needed to make those claims evidentially meaningful.
Quantum interpretations differ in ontology, dynamics, and the meaning of quantum states, but these differences become empirical alternatives only when they yield different records for a com-mon experiment. Two worked comparisons establish where discrimination succeeds and fails. In a trapped-particle arrival-time model, paired spin ensembles have identical density operators but detector-free first-entry laws separated by an exactly calculable total-variation distance. A common quantum instrument nevertheless gives them identical record laws, with a sharp obstruction to re-producing both free-arrival distributions. A second comparison places universal unitary evolution and genuine collapse in the same coherent-memory experiment. An echo removes constant detuning but leaves ordinary Markov dephasing exactly confounded with collapse when their total rates co-incide. Independent noise and readout bounds yield a discrimination gap, an optimal observation time for equal trial cost, and a finite-sample guarantee. Comparisons involving GRW ontologies, relational quantum mechanics, and QBism clarify the roles of record formation and conditioning. Recent nanoparticle-interference and spontaneous-radiation experiments constrain specified collapse dynamics without uniquely favoring an ontology. A Bayesian analysis separates these constraints from posterior comparisons and from theoretical preferences based on scope, economy, and definite out-comes. It identifies the conditional case for Everett alongside the relevant Bohmian counterpoints. The resulting assessment permits unequal empirical support without claiming either universal equivalence or an experimentally established ranking of the surviving interpretations.
Environmental decoherence is central to contemporary accounts of quantum measurement, yet its relation to definite outcomes remains disputed. This review distinguishes four explanatory demands: interference suppression, preferred-basis selection, operational objectivity, and outcome actualization. It compares open-system formalism and experimental evidence with the principal philosophical accounts of definiteness. In nonrelativistic models, environmental entanglement disperses phase coherence into inaccessible correlations, rendering the reduced system–apparatus state approximately diagonal in an interaction-selected pointer basis. Experiments support this loss of locally observable interference, while einselection and redundant environmental records explain the stability and intersubjective accessibility of macroscopic properties. These achievements neither convert an improper mixture into ignorance about an actual result nor select one component of the global state. Everettian interpretations reject global uniqueness, Bohmian mechanics adds an actual configuration, objective-collapse theories modify the dynamics, and QBist or pragmatist approaches revise quantum-state semantics. Decoherence is therefore indispensable to the formation of classical records but insufficient, by itself, for an interpretation-neutral derivation of unique actualization. Its foundational significance lies in identifying where unitary dynamical explanation ends and an ontological, dynamical, or semantic account of definiteness must begin.
Abstract Persistent disagreement among interpretations of quantum mechanics is widely acknowledged, yet there is no standard method for assessing which interpretive claims satisfy the structural preconditions of physical description and which remain incomplete. We introduce a claim-level diagnostic protocol comprising six applicability conditions (A1–A6) that classifies interpretive statements without adjudicating their truth. The protocol outputs standardised verdicts—PASS, OPEN, or Limit of Applicability (LoA)—together with specific reformulation directives for each deficit. We apply the protocol systematically to six major interpretations: Copenhagen, Many Worlds, QBism, Objective Collapse, Bohmian Mechanics, and Relational Quantum Mechanics. Three principal results emerge. First, no interpretation achieves an unrestricted PASS across all six conditions—the measurement problem is genuinely open, not merely contested. Second, deficit patterns organise into systematic trade-offs between formal consistency, posit commitments, and empirical accessibility. Third, and most consequentially, the protocol reaches the limit of its own presuppositions when applied to QBism, yielding a TYPE-SHIFT verdict that raises the question whether certain interpretive positions constitute physical claims or rationality-theoretic frameworks employing physical formalism.
Claims that experiments confirm the many-worlds interpretation often conflate evidence for quantum coherence, universal unitarity, the absence of objective collapse, decoherence-defined branches, and the reality of every branch. This paper develops a contrast-relative architecture that separates those targets. A complete theory package includes dynamics, ontology, state and parameter assumptions, and a probability or typicality rule that generates empirical likelihoods. Four formal results follow. Operationally equivalent theories have a Bayes factor of one for every fixed or adaptive protocol in the domain of equivalence. Evidence can redistribute probability toward a theoretical family while leaving the odds among equivalent members unchanged. An exact decomposition identifies the bridge factors required when support is inherited from shared dynamics by stronger structural or ontological claims. Finally, an inheritance-attenuation formula quantifies how evidence for unitarity weakens when Everett is compared with a complement containing other unitary theories. Applications include massive matter-wave interference, XENONnT collapse constraints, experimental quantum Darwinism, Local Friendliness tests, and proposed interbranch communication. Current results extend the tested domain of coherent quantum dynamics, constrain specified collapse models, and support mechanisms for stable, redundant records. They do not supply an outcome distribution favoring Everett over all operationally equivalent unitary rivals or directly establish the reality of every decohered component. Everett can therefore receive indirect, family-mediated confirmation while its distinctive ontology remains underdetermined within a predictive equivalence class.
Abstract Each formulation of quantum mechanics we consider in the book seeks to explain why we have determinate measurement records distributed according to the standard quantum statistics. The explanation we get relies on the metaphysical assumptions that underlie the particular theory. Metaphysics here does real explanatory work in accounting for our experience. While it is not at all clear what specific metaphysical commitments best explain our experience, one can distinguish between different types and degrees of empirical adequacy each formulation provides. Stronger notions of empirical adequacy might be characterized in terms of such things as the plausibility that one’s experience in fact supervenes on the sort of records a particular theory provides and the richness of the account of experience provided by the theory.
The file has been temporarily restricted while the author reviews the arguments and conclusions.This note examines how ontological conclusions are drawn from the standard quantum formalism. It distinguishes what the formalism fixes from additional claims about objective physical states and about where and when outcomes become fully formed. It tests these inferences by considering a minimal objective-state possibility, without predetermined values for all observables, and by analyzing the underdetermination of where and when outcome formation occurs within a physical measurement chain. Because preserved records themselves become part of that chain, their later comparison does not by itself resolve the underdetermination. The analysis identifies additional premises required for familiar paradoxical inferences and leaves open the possibility of outcome completion through ordinary causal propagation, without choosing an interpretation or constructing a new mechanism.