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The Unbound Wave Function: The Spatiotemporal Assumption Behind the Standard Puzzles

David Rieck

Published Oct 15, 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 - 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.

DOI
10.17605/osf.io/kw3cy

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The Unbound Wave Function: The Spatiotemporal Assumption Behind the Standard Puzzles

David Rieck

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.

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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 - 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.
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.
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.
Holographic Information Ontological Framework•Superposition (HIOF•Superposition) A Layered Reading of the Quantum Measurement Problem This is a short, non-technical companion to the 10-paper HIOF·Superposition series. It is written for readers with a background in physics, philosophy of science, or information theory — not for readers already familiar with the author's wider theoretical framework. The core idea, stated plainly Superposition is treated here not as a property of an unobserved reality, but as a verdict of the window — a statement that only becomes meaningful once a measurement basis has been chosen. The claim is not that quantum mechanics needs a new formalism. It draws on the existing, experimentally confirmed core — Hilbert space, unitary evolution, the Born rule — and asks a narrower question: at which layer does each familiar sentence about "superposition," "collapse," or "faster than light" actually belong. Why the sea has no point Before any cut is made, there is no coordinate, no clock, and no pre-loaded position waiting to be discovered. This series calls that layer the sea. Every concrete answer — a spin value, a photon polarisation, a particle's location — is produced only at the window, the layer where a referee selects an axis and the cut-plane is written into a ledger. Treating a pre-window formalism as though it already contained a hidden trajectory is, in this framework, a layer violation rather than a competing physical theory. Why revolution and interpretation are different jobs A referee opens a ledger page and reports a number. A verdict is a narrative laid over that same number, answering questions the number does not itself ask — is the wavefunction real, does the universe branch, is collapse a physical event or a belief update. Five major schools of interpretation agree on every measurable prediction and disagree only at this second, narrative layer. The series argues that an unsettled interpretation market is not evidence that a physical revolution never happened, and a temporarily popular school is not evidence that the physical picture is now complete. Why superluminal signalling stays excluded Entanglement correlations can exceed the bound available to any local, pre-synchronised set of instructions — this is Bell's already-tested result. What cannot be smuggled through the same channel is a controllable signal that outruns light. The series keeps these two facts on separate ledgers: non-local correlation is written into the ledger; superluminal communication is not, and treating the first as a licence for the second is flagged throughout as a trap, not a proof. Why "total stillness" is not a fourth cargo A system at absolute rest, a system with no remaining executable state, and a system that has genuinely reached the end of its protocol cycle are three distinct conditions frequently collapsed into one intuitive picture. The series separates them explicitly, using the same operational standard applied to superposition: a claim only counts if it can be located on a specific layer and checked against a specific ledger. What the full series covers The main papers work through the sea-window-cut-plane distinction, the referee-versus-verdict separation, decoherence as a mechanism rather than an interpretation, the operational meaning of "unification," and a closing glossary that locks the definitions of every predicate used across the series. A companion series, HIOF·Revolution, extends the same layered method to ask a further question: at which layer does a scientific revolution actually occur, and why the answer does not require any interpretation to be settled first. A note on method The series is explicit about separating three registers: the already-tested formal core of quantum mechanics, original operational proposals about layering and vocabulary, and narrative or metaphorical exposition used for clarity. Readers are encouraged to treat every non-standard claim as a definitional proposal open to challenge, not as an experimental result. Keywords: quantum mechanics, superposition, measurement problem, Bell inequality, interpretation, decoherence, non-locality, ontology, philosophy of physics, information theory, layered systems AuthorWai-Hung Tam (Pan), Independent ResearcherORCID: 0009-0002-7789-8464Email: panxtam@protonmail.com
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.
Holographic Information Ontological Framework•Superposition (HIOF•Superposition) A Layered Reading of the Quantum Measurement Problem This is a short, non-technical companion to the 10-paper HIOF·Superposition series. It is written for readers with a background in physics, philosophy of science, or information theory — not for readers already familiar with the author's wider theoretical framework. The core idea, stated plainly Superposition is treated here not as a property of an unobserved reality, but as a verdict of the window — a statement that only becomes meaningful once a measurement basis has been chosen. The claim is not that quantum mechanics needs a new formalism. It draws on the existing, experimentally confirmed core — Hilbert space, unitary evolution, the Born rule — and asks a narrower question: at which layer does each familiar sentence about "superposition," "collapse," or "faster than light" actually belong. Why the sea has no point Before any cut is made, there is no coordinate, no clock, and no pre-loaded position waiting to be discovered. This series calls that layer the sea. Every concrete answer — a spin value, a photon polarisation, a particle's location — is produced only at the window, the layer where a referee selects an axis and the cut-plane is written into a ledger. Treating a pre-window formalism as though it already contained a hidden trajectory is, in this framework, a layer violation rather than a competing physical theory. Why revolution and interpretation are different jobs A referee opens a ledger page and reports a number. A verdict is a narrative laid over that same number, answering questions the number does not itself ask — is the wavefunction real, does the universe branch, is collapse a physical event or a belief update. Five major schools of interpretation agree on every measurable prediction and disagree only at this second, narrative layer. The series argues that an unsettled interpretation market is not evidence that a physical revolution never happened, and a temporarily popular school is not evidence that the physical picture is now complete. Why superluminal signalling stays excluded Entanglement correlations can exceed the bound available to any local, pre-synchronised set of instructions — this is Bell's already-tested result. What cannot be smuggled through the same channel is a controllable signal that outruns light. The series keeps these two facts on separate ledgers: non-local correlation is written into the ledger; superluminal communication is not, and treating the first as a licence for the second is flagged throughout as a trap, not a proof. Why "total stillness" is not a fourth cargo A system at absolute rest, a system with no remaining executable state, and a system that has genuinely reached the end of its protocol cycle are three distinct conditions frequently collapsed into one intuitive picture. The series separates them explicitly, using the same operational standard applied to superposition: a claim only counts if it can be located on a specific layer and checked against a specific ledger. What the full series covers The main papers work through the sea-window-cut-plane distinction, the referee-versus-verdict separation, decoherence as a mechanism rather than an interpretation, the operational meaning of "unification," and a closing glossary that locks the definitions of every predicate used across the series. A companion series, HIOF·Revolution, extends the same layered method to ask a further question: at which layer does a scientific revolution actually occur, and why the answer does not require any interpretation to be settled first. A note on method The series is explicit about separating three registers: the already-tested formal core of quantum mechanics, original operational proposals about layering and vocabulary, and narrative or metaphorical exposition used for clarity. Readers are encouraged to treat every non-standard claim as a definitional proposal open to challenge, not as an experimental result. Keywords: quantum mechanics, superposition, measurement problem, Bell inequality, interpretation, decoherence, non-locality, ontology, philosophy of physics, information theory, layered systems AuthorWai-Hung Tam (Pan), Independent ResearcherORCID: 0009-0002-7789-8464Email: panxtam@protonmail.com