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Against the Strong Ontologisation of the Wavefunction

David Cota

Published Jan 8, 2026• 0 citations
Publisher

Abstract

This argues that many familiar “paradoxes” in quantum mechanics persist because a category mistake is repeatedly made: symbolic operators of prediction are treated as if they were autonomous constituents of material reality. It distinguishes three regimes—the real (material dynamics), the concrete (empirical inscription as marks), and the symbolic (theoretical formalism)—and shows that the wavefunction belongs to the third: it is a calculational operator whose empirical content is fixed only through specified procedures of preparation and measurement. Probability, correspondingly, is treated as an empirical–operational predicate over outcome frequencies under controlled interaction, not as a physical entity. Canonical experimental constraints (Born statistics, single-quantum interference, decoherence as suppression of accessible coherences, Bell/CHSH violations, and contextuality) are used as anchors that support this stratification without licensing ontological inflation. The conclusion is not an anti-realist denial of structure, but a disciplined limit on what may be ontologised: formal success requires an explicit bridge argument to material inscription; absent such a bridge, reifying the wavefunction confuses the map with the territory.

DOI
10.5281/zenodo.18190299

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This argues that many familiar “paradoxes” in quantum mechanics persist because a category mistake is repeatedly made: symbolic operators of prediction are treated as if they were autonomous constituents of material reality. It distinguishes three regimes—the real (material dynamics), the concrete (empirical inscription as marks), and the symbolic (theoretical formalism)—and shows that the wavefunction belongs to the third: it is a calculational operator whose empirical content is fixed only through specified procedures of preparation and measurement. Probability, correspondingly, is treated as an empirical–operational predicate over outcome frequencies under controlled interaction, not as a physical entity. Canonical experimental constraints (Born statistics, single-quantum interference, decoherence as suppression of accessible coherences, Bell/CHSH violations, and contextuality) are used as anchors that support this stratification without licensing ontological inflation. The conclusion is not an anti-realist denial of structure, but a disciplined limit on what may be ontologised: formal success requires an explicit bridge argument to material inscription; absent such a bridge, reifying the wavefunction confuses the map with the territory.
This essay argues that many interpretative paradoxes in quantum mechanics arise from a systematic confusion between regimes of description and regimes of existence. It therefore proposes an operative distinction between the real (material dynamics), the concrete (the mark as a stabilising inscription), and theory (the symbolic organisation of prediction). On this basis, degeneracy is reinterpreted as a limit of individuation defined by the experimental cut: where there is no difference at the level of the mark, formal multiplicity amounts to an excess of description rather than to ontological plurality. Likewise, the density matrix is treated as an epistemic operator appropriate to incomplete knowledge and variability of preparation, thereby avoiding the reification of “mixture” into an entity. Interference and superposition are traced back to the manner in which the calculus organises possibilities prior to their separation by a mark. Entanglement is analysed as epistemic correlation inherited in the absence of present interaction, and is distinguished from dynamical non-separability except in cases of effective coupling. In the context of EPR/Bell, it is argued that the update of the predictive regime following a local mark does not constitute a physical process in the distant system; Bell inequalities constrain certain classical grammars of factorisation without determining a positive ontology of superluminal influences. The paper concludes with a critical comparison of consistent histories, informational approaches, and collapse models in terms of their respective ontological costs.
This essay proposes an operative ontology of quantum mechanics grounded in a disciplined separation of levels between the real, the concrete, and theory. It argues that to exist is to acquire material stability under constraints, that is, to maintain sufficient functional consistency to produce real differences; the mark grounds only observable factuality, as an irreversible inscription on a support. On the basis of this framework, the core concepts are clarified: constraints as the material delimitation of real possibilities; emergent stability as scale-dependent functional robustness; the mark as a criterion of traceability and validation; and the epistemic state as a symbolic operator for predicting possible marks. This framework allows classical paradoxes (superposition, interference, entanglement, and measurement problems) to be dissolved without reifying the formalism or resorting to inflationary ontologies, by rigorously distinguishing material dynamics, inscription, and symbolic organization.
The debate began with the essay’s thesis that many quantum paradoxes are produced by an illegitimate passage between levels. Formalism organises predictions; experiment produces localised, recoverable differences; the real does not depend on its description. The discussion focused on the point of articulation: under what conditions can a physical correlation constitute a record, how should irreversibility be understood, and what discipline prevents mathematical properties from being transferred directly into ontology? Comparison with the reference essay also revealed a need to distinguish concepts that it sometimes places too close together. The concrete designates the portion of the real captured under a regime of observation. Under the current OCE canon, the mark is the passive material organisation stabilised by a singular inscription and co-constituted with a first symbol. An experimental concretion may involve marks. The two terms are not equivalent.
The shift from classical deterministic prediction to quantum distributions does not by itself decide whether the real is intrinsically probabilistic. The argument begins with both the force and the limit of Laplace’s ideal: deterministic dynamics can coexist with incomplete knowledge of the initial conditions, and classical physics already employs probability. The uncertainty relation then requires a distinction between preparation uncertainty, measurement error, and disturbance, preventing a single formula from serving as an ontological verdict. Bell inequalities tighten the constraints by excluding a specific family of local explanations without ruling out deterministic nonlocal dynamics. The objectivity of probability therefore arises from the explanations that the distributions rule out, not from turning probability into substance. An unexpected detector pulse then allows us to follow the transition from a physical record to knowledge: the material configuration may persist while the act of discrimination is ephemeral; only recognition under a protocol requires a distinction between trace, singular inscription, passive mark, and symbol. Finally, the laser shows why technical fruitfulness increases a theory’s epistemic weight, even though rival ontologies may share the same formalism. The remaining interpretative openness is not arbitrary: it is bounded by results that any future account must accommodate.
This essay argues that the controversy over the status of ψ is distorted when three irreducible planes are conflated: the real (material dynamics), the concrete (the coupling that produces an irreversible mark), and theory (the symbolic organisation of predictions). Under this discipline, the Pusey–Barrett–Rudolph theorem is reassessed: its result does not show that ψ is a physical entity, but only constrains models that posit a hidden-state space Λ of ontic states λ and a bridge μψ(λ) between preparation and ontology. It is shown that this bridge reifies the linear structure of Hilbert space and clashes with Born’s quadratic rule, failing to carry phases and cancellations; the problem becomes visible with identical particles and with measurements in entangled bases. The argument also relies on strong assumptions (preparation independence and “strict zeros”) that are not imposed by standard quantum theory. By fixing the mark as a criterion of factuality (not a criterion of existence), the text dissolves false dilemmas: state update is an epistemic reorganisation at the level of theory after inscription, not a superluminal physical event; non-separability encodes inherited correlations, not action at a distance; and uncertainty expresses limits of concretion, not a deficit of information. The conclusion is that ψ can remain a symbolic operator for predicting distributions of possible marks, without ontological inflation.