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An Atemporal Substrate Ontology for Quantum Mechanics - Reinterpreting the Referent of the Wave Function

David Rieck

Published Aug 2, 2026• 0 citations
Publisher

Abstract

A century after the wave function's introduction, the vocabulary chosen for it in 1926 - propagation, evolution, collapse, wave - still quietly settles its ontology: each term presupposes an object already situated in spacetime. This paper explores what follows from withholding that assumption. On the proposed reading - an Atemporal Substrate Ontology (ASO) - the entity described by ψ possesses no intrinsic spatiotemporal properties, and location, duration, and ordering arise only at interaction events. The mathematics is unchanged; only the referent is reinterpreted. The proposal is offered under an explicit contract: it sorts every standard puzzle it touches into an itemized ledger of what is dissolved, what is relocated and left open, and what is only partially addressed; it states the experimental result that would kill it; and its consistency with standard quantum computation is demonstrated in executable form. The reading inverts the standard explanandum: superposition is the natural condition of a timeless domain, and it is definiteness, not coexistence, that requires explanation. Under this inversion, seven notorious difficulties - non-local correlation, the frame-dependence of collapse, delayed choice, wave-particle duality, contextuality, the observer effect, the problem of time - cease to arise in their usual form, while outcome selection, the preferred basis, the Born measure, and the Tsirelson bound are explicitly relocated rather than solved. The proposal is situated among converging programs (possibilist transactional interpretation, timeless configuration-space dynamics, relational quantum mechanics, structure-first metaphysics) and distinguished by its deliberate mechanism-agnosticism. Its death condition is confirmation of collapse as an intrinsic, time-parametrized modification of ψ itself; short of that, it competes on the currencies interpretations have always competed on and says so.

DOI
10.17605/osf.io/qmb84

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A century after the wave function's introduction, the vocabulary chosen for it in 1926 - propagation, evolution, collapse, wave - still quietly settles its ontology: each term presupposes an object already situated in spacetime. This paper explores what follows from withholding that assumption. On the proposed reading - an Atemporal Substrate Ontology (ASO) - the entity described by ψ possesses no intrinsic spatiotemporal properties, and location, duration, and ordering arise only at interaction events. The mathematics is unchanged; only the referent is reinterpreted. The proposal is offered under an explicit contract: it sorts every standard puzzle it touches into an itemized ledger of what is dissolved, what is relocated and left open, and what is only partially addressed; it states the experimental result that would kill it; and its consistency with standard quantum computation is demonstrated in executable form. The reading inverts the standard explanandum: superposition is the natural condition of a timeless domain, and it is definiteness, not coexistence, that requires explanation. Under this inversion, seven notorious difficulties - non-local correlation, the frame-dependence of collapse, delayed choice, wave-particle duality, contextuality, the observer effect, the problem of time - cease to arise in their usual form, while outcome selection, the preferred basis, the Born measure, and the Tsirelson bound are explicitly relocated rather than solved. The proposal is situated among converging programs (possibilist transactional interpretation, timeless configuration-space dynamics, relational quantum mechanics, structure-first metaphysics) and distinguished by its deliberate mechanism-agnosticism. Its death condition is confirmation of collapse as an intrinsic, time-parametrized modification of ψ itself; short of that, it competes on the currencies interpretations have always competed on and says so.
A century after the wave function's introduction, the vocabulary chosen for it in 1926 - propagation, evolution, collapse, wave - still quietly settles its ontology: each term presupposes an object already situated in spacetime. This paper explores what follows from withholding that assumption. On the proposed reading - here called the unbound reading - spatiotemporal predicates fail to apply to the entity described by ψ, and location, duration, and ordering arise only at interaction events. The mathematics is unchanged; only the referent is reinterpreted. The claim's logical form is predicate-failure rather than denial: spatiotemporal predicates are held not to apply to the referent absent registration, which is what withholding the 1926 assumption, as opposed to negating it, amounts to. The proposal is offered under an explicit contract: it sorts every standard puzzle it touches into an itemized ledger of what is dissolved, what is relocated and left open, and what is split; it states the experimental result that would kill it; and its consistency with standard quantum computation is demonstrated in executable form. The reading inverts the standard explanandum: superposition is the natural condition of an unbound domain, and it is definiteness, not coexistence, that requires explanation. Under this reading, two difficulties that depend specifically on the spatiotemporal assumption - the distance-indifference of entangled correlations and the frame-dependence of collapse ordering - become expected rather than tolerated; four others (delayed choice, wave-particle duality, contextuality, the observer effect) cease to arise under any ψ-ontic reading and are inherited rather than earned; the problem of time is reframed; and outcome selection, the applicability of chance, the preferred basis, the Born measure, the Tsirelson bound, and the local arrow of time are explicitly relocated rather than solved. The proposal is situated among converging programs (possibilist transactional interpretation, timeless configuration-space dynamics, relational quantum mechanics, structure-first metaphysics) and distinguished by its deliberate mechanism-agnosticism. Its death condition is confirmation of registration without interaction - spontaneous collapse of the GRW or Diósi-Penrose type; short of that, it competes on the currencies interpretations have always competed on and says so.
A century after the wave function's introduction, the vocabulary chosen for it in 1926 - propagation, evolution, collapse, wave - still quietly settles its ontology: each term presupposes an object already situated in spacetime. This paper explores what follows from withholding that assumption. On the proposed reading - here called the unbound reading - spatiotemporal predicates fail to apply to the entity described by ψ, and location, duration, and ordering arise only at interaction events. The mathematics is unchanged; only the referent is reinterpreted. The claim's logical form is predicate-failure rather than denial: spatiotemporal predicates are held not to apply to the referent absent registration, which is what withholding the 1926 assumption, as opposed to negating it, amounts to. The proposal is offered under an explicit contract: it sorts every standard puzzle it touches into an itemized ledger of what is dissolved, what is relocated and left open, and what is split; it states the experimental result that would kill it; and its consistency with standard quantum computation is demonstrated in executable form. The reading inverts the standard explanandum: superposition is the natural condition of an unbound domain, and it is definiteness, not coexistence, that requires explanation. Under this reading, two difficulties that depend specifically on the spatiotemporal assumption - the distance-indifference of entangled correlations and the frame-dependence of collapse ordering - become expected rather than tolerated; four others (delayed choice, wave-particle duality, contextuality, the observer effect) cease to arise under any ψ-ontic reading and are inherited rather than earned; the problem of time is reframed; and outcome selection, the applicability of chance, the preferred basis, the Born measure, the Tsirelson bound, and the local arrow of time are explicitly relocated rather than solved. The proposal is situated among converging programs (possibilist transactional interpretation, timeless configuration-space dynamics, relational quantum mechanics, structure-first metaphysics) and distinguished by its deliberate mechanism-agnosticism. Its death condition is confirmation of registration without interaction - spontaneous collapse of the GRW or Diósi-Penrose type; short of that, it competes on the currencies interpretations have always competed on and says so.
This paper proposes a timeless interpretation of quantum mechanics in which fundamental reality is configurational rather than temporal. What we perceive as the temporal evolution of a particle is reinterpreted as our sequential perspective on a static structure of spatial correlations. Quantum superposition reveals this nature: all possible spatial configurations coexist in a timeless reality, and only when we—bound by time—observe the system, do we project this multiplicity into a temporal sequence. When we measure a quantum system, we do not collapse a wave function but rather synchronize our clock-system with a specific section of the timeless structure. This interpretation connects naturally with existing timeless approaches such as the Page-Wootters mechanism and Wheeler-DeWitt equation, while offering a distinctive perspective on the nature of the wave function, measurement, and the emergence of time from correlations within an atemporal quantum reality.
Standard interpretations of quantum mechanics often maintain that physical reality is incomplete until it is observed, or else that the collapse of the wave function constitutes a fundamental ontological event associated with the act of measurement. Such readings conflate observation with physical interaction and reify the theory’s formalism into a metaphysics of indeterminacy. This paper proposes a reinterpretation of the collapse of the wave function as an effective, post-realization phenomenon: a descriptive projection that occurs within a globally relational state that is ontologically determined. By integrating decoherence theory, an analysis of the double-slit experiment, and a reinforced block-universe model, it is argued that quantum entities do not alternate between wave-like and corpuscular natures. Rather, different experimental regimes restrict the degrees of freedom accessible to local description, yielding distinct empirical manifestations. This approach preserves determinism, avoids an observer-dependent ontology, and provides a non-mystical explanation of quantum entanglement grounded in the ontological primacy of global relational structure over local spatiotemporal description.
We develop a structural reinterpretation of the foundational ontological problems of quantum mechanics within the program of Metamonism [1] and its physical extension Basic Ontodynamics [2]. Three ontological placeholders that have resisted satisfactory interpretation for a century — wave function collapse, wave-particle duality, and virtual particles — are identified as symptoms of a foundational gap: the absence of a structural account of what quantum objects are. The present framework proposes that quantum objects are activation regimes of the F-hierarchy at different degrees of F7 closure. The photon is F56 without F7 — an unclosed coherence regime. The electron is F56 with residual St closure. Wave-particle duality dissolves: there is one object at different closure states, not two natures. Collapse dissolves: measurement is a continuous F7 closure process driven by structural resonance, not a discontinuous transition. Virtual particles dissolve as ontological entities: interactions are direct F56 coherence redistributions through the shared background F123, with virtual particles as mathematical parametrizations of transient incomplete F7 closures. The uncertainty principle receives a structural reading: ∆x · ∆p and ∆E · ∆t are two aspects of the single constraint that F7 closure and F56 phase sharpness cannot be simultaneously maximal. Renormalization is identified as a symptom of ontological incompleteness: it compensates for the point particle idealization, the free propagator treatment of virtual particles, and the empty vacuum assumption— all of which the F-hierarchy framework replaces structurally. Five falsifiable predictions are stated: finite duration of atomic transitions, natural ultraviolet cutoff in vacuum fluctuations, vacuum birefringence at high laser intensity, confinement scale from F7 closure geometry, and renormalization group fixed points as F7 closure transitions. The paper is a programmatic contribution within Metamonism: it proposes a structurally unified ontological reading of quantum phenomena and establishes a research program in which the formal derivation of quantum mechanics from F-hierarchy dynamics becomes a well-posed task.
Abstract This paper develops a structural ontology in which quantum states arise from a timeless, nondynamical substrate referred to as the cold phase. In contrast to dynamical interpretations that treat the wavefunction as evolving in time, the cold‑phase framework proposes that the wavefunction is a representation of a deeper, global structural configuration. Coherence, superposition, interference, and entanglement emerge from intrinsic properties of this configuration rather than from temporal processes. The ontology is operationally conservative, preserving the Hilbert‑space formalism, the Born rule, and unitary evolution, while offering a unified structural explanation for nonclassical phenomena. The framework aligns with structural realism, relational interpretations, and timeless formulations of quantum gravity. Limitations and future directions are discussed, including the need for a full mathematical characterisation of the substrate and its integration with emergent spacetime models.In this revision, the sampling density σ is generalized to a full state variable σ(T,ρ,P,t), enabling a unified account of coherence, locality, and emergent time