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Axiomatic Reconstruction of the Copenhagen Interpretation — Typed Existence, Observational Records, Temporal Construction, and Reframing the Problem of Quantum Gravity —

Kei Itoh

Published Sep 23, 2026• 0 citations
Publisher

Abstract

This paper reconstructs the historically polysemous “Copenhagen interpretation” not as a specific ontology, but as a minimal axiomatic system that specifies the conditions under which candidates, observations, and records are established. In a previous paper, the EPR paradox was reconsidered through a type separation between prediction and observation, leading to the Prediction–Observation Separation Principle and the Ontology Non-Generation Principle, which prevent a probability-one prediction from automatically generating the reality of an unobserved object. In another paper, this observational framework was extended to temporal and causal constructions, yielding the Temporal Extension of the Copenhagen Interpretation (TEC), in which a single causal record is established from unrealized causal candidates. The present paper reorganizes these two arguments from the perspective of a higher-level axiomatic structure.First, I introduce a framework of typed existence in which objects and propositions meaningful within a theory possess a minimal “existential attachment,” while that existence does not immediately imply physical reality. When reality is asserted, one must specify what type of reality is being claimed and what authorizes promotion to that type. In this way, inferences that move from observational or predictive formalisms to realism without warrant can be treated as type errors. I then organize candidatehood, observation, single records, ontological suspension, prediction–observation separation, and record stability into a minimal Copenhagen axiomatic system.When this axiomatic system is applied to time, the past can be constructed as established records, the present as the local boundary at which candidates become records, and the future as unrealized causal candidates. This yields a distinction between “realized record time” and “model time” constructed by general relativity or cosmology. General relativity can then be repositioned as an advanced model theory that constructs smooth spacetime geometry and temporal scales from realized time. If the map back from that model to observational records preserves structure, it provides a condition for integrating Copenhagen observation theory with general relativity at the level of time and causality. Furthermore, by defining continuous observation as record formation over real-valued time and asking whether such a process is physically realizable, the question of time quantization is shifted from an a priori assumption to a problem of deciding the possibility of continuous observation.Finally, part of the difficulty of quantum gravity is reinterpreted as arising from implicit conversions among different time types, existence types, and causal types, together with circular dependencies among them. Quantum gravity is not merely the problem of quantizing a completed theory of general relativity; it is also the problem of making explicit the interfaces among theories so that realized time can be constructed from observational records and relativistic model time can then be reconstructed from it. This paper therefore positions the proposed reconstruction not as a completed theory of quantum gravity, but as an axiomatic and semantic refactoring required at a prior stage. AI Assistance DisclosureGenerative AI was used as an auxiliary tool in drafting, adjusting expressions, and organizing the structure of this paper. The author bears final responsibility for the text, claims, citations, and factual verification. Keywords: Copenhagen interpretation, axiomatic system, typed existence, existential attachment, EPR paradox, observation, record, Temporal Extension of the Copenhagen Interpretation, realized time, model time, general relativity, quantum gravity

DOI
10.5281/zenodo.22918106

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Temporal Extension of the Copenhagen Interpretation —Quantum Causal Candidates, Single Causal Records, and the Semantics of World Formation—

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In standard quantum theory, physical states are subject to superposition, whereas temporal order and causal structure usually remain as a classical background. In general relativity, by contrast, time is local and dynamical, depending on the distribution of matter and the geometry of spacetime. This paper does not provide a completed dynamics that resolves this mismatch. Instead, it proposes an interpretive principle that extends the domain of superposition and single-outcome character in the Copenhagen interpretation from physical states to temporal and causal configurations. In this proposal, temporal order, local time, causal connection, and the gluing of spacetime fragments are represented as quantum candidates, and observation is understood as the simultaneous realization of one state and one recordable causal sequence. For unobserved candidate temporal configurations, neither reality nor non-reality is specified; an ontological suspension is adopted. This weakens the need to require every candidate to be globally consistent with a spacetime in advance, making it possible to impose classical gluing only on realized local causal sequences. As a result, the degrees of freedom associated with local time, local causal order, and the underlying structure of fields are increased. The paper further presents a research program that reconstructs special and general relativity, quantum theory and representational duality, quantum field theory, and quantum gravity in sequence. The temporal extension of the Copenhagen interpretation is not a specific model of quantum gravity, but it may provide an axiomatic assumption, worldview, and semantic core for interpreting the process by which a single classical world is realized from quantum causal candidates. AI Assistance DisclosureGenerative AI was used as an auxiliary tool in drafting, adjusting expressions, and organizing the structure of this paper. The author bears final responsibility for the text, claims, citations, and factual verification. Keywords: Copenhagen interpretation, quantum time, causal structure, observational convergence, locality, quantum gravity, semantics

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•Oct 20, 2026•1 citation
This paper reconstructs the historically polysemous “Copenhagen interpretation” not as a specific ontology, but as a minimal axiomatic system that specifies the conditions under which candidates, observations, and records are established. In a previous paper, the EPR paradox was reconsidered through a type separation between prediction and observation, leading to the Prediction–Observation Separation Principle and the Ontology Non-Generation Principle, which prevent a probability-one prediction from automatically generating the reality of an unobserved object. In another paper, this observational framework was extended to temporal and causal constructions, yielding the Temporal Extension of the Copenhagen Interpretation (TEC), in which a single causal record is established from unrealized causal candidates. The present paper reorganizes these two arguments from the perspective of a higher-level axiomatic structure.First, I introduce a framework of typed existence in which objects and propositions meaningful within a theory possess a minimal “existential attachment,” while that existence does not immediately imply physical reality. When reality is asserted, one must specify what type of reality is being claimed and what authorizes promotion to that type. In this way, inferences that move from observational or predictive formalisms to realism without warrant can be treated as type errors. I then organize candidatehood, observation, single records, ontological suspension, prediction–observation separation, and record stability into a minimal Copenhagen axiomatic system.When this axiomatic system is applied to time, the past can be constructed as established records, the present as the local boundary at which candidates become records, and the future as unrealized causal candidates. This yields a distinction between “realized record time” and “model time” constructed by general relativity or cosmology. General relativity can then be repositioned as an advanced model theory that constructs smooth spacetime geometry and temporal scales from realized time. If the map back from that model to observational records preserves structure, it provides a condition for integrating Copenhagen observation theory with general relativity at the level of time and causality. Furthermore, by defining continuous observation as record formation over real-valued time and asking whether such a process is physically realizable, the question of time quantization is shifted from an a priori assumption to a problem of deciding the possibility of continuous observation.Finally, part of the difficulty of quantum gravity is reinterpreted as arising from implicit conversions among different time types, existence types, and causal types, together with circular dependencies among them. Quantum gravity is not merely the problem of quantizing a completed theory of general relativity; it is also the problem of making explicit the interfaces among theories so that realized time can be constructed from observational records and relativistic model time can then be reconstructed from it. This paper therefore positions the proposed reconstruction not as a completed theory of quantum gravity, but as an axiomatic and semantic refactoring required at a prior stage. AI Assistance DisclosureGenerative AI was used as an auxiliary tool in drafting, adjusting expressions, and organizing the structure of this paper. The author bears final responsibility for the text, claims, citations, and factual verification. Keywords: Copenhagen interpretation, axiomatic system, typed existence, existential attachment, EPR paradox, observation, record, Temporal Extension of the Copenhagen Interpretation, realized time, model time, general relativity, quantum gravity
In standard quantum theory, physical states are subject to superposition, whereas temporal order and causal structure usually remain as a classical background. In general relativity, by contrast, time is local and dynamical, depending on the distribution of matter and the geometry of spacetime. This paper does not provide a completed dynamics that resolves this mismatch. Instead, it proposes an interpretive principle that extends the domain of superposition and single-outcome character in the Copenhagen interpretation from physical states to temporal and causal configurations. In this proposal, temporal order, local time, causal connection, and the gluing of spacetime fragments are represented as quantum candidates, and observation is understood as the simultaneous realization of one state and one recordable causal sequence. For unobserved candidate temporal configurations, neither reality nor non-reality is specified; an ontological suspension is adopted. This weakens the need to require every candidate to be globally consistent with a spacetime in advance, making it possible to impose classical gluing only on realized local causal sequences. As a result, the degrees of freedom associated with local time, local causal order, and the underlying structure of fields are increased. The paper further presents a research program that reconstructs special and general relativity, quantum theory and representational duality, quantum field theory, and quantum gravity in sequence. The temporal extension of the Copenhagen interpretation is not a specific model of quantum gravity, but it may provide an axiomatic assumption, worldview, and semantic core for interpreting the process by which a single classical world is realized from quantum causal candidates. AI Assistance DisclosureGenerative AI was used as an auxiliary tool in drafting, adjusting expressions, and organizing the structure of this paper. The author bears final responsibility for the text, claims, citations, and factual verification. Keywords: Copenhagen interpretation, quantum time, causal structure, observational convergence, locality, quantum gravity, semantics
This paper reexamines the EPR paradox through a logical separation of “prediction” and “observation.” Even when a conditional prediction supplied by quantum theory reaches probability 1, this fact alone does not imply that an observation event has occurred at a remote location or that a particular ontology holds for an unobserved quantity. When this distinction is generalized into a minimal rule against generating ontology without warrant from an observational formalism, the inference that depends on EPR’s criterion of reality can be stopped without introducing new dynamics or a superluminal mechanism. At the same time, correlations that resist local causal factorization, as manifested in violations of Bell inequalities, remain. Thus, EPR-type “instantaneous remote determination” need not be identified with Bell nonlocality. The paper further reconsiders the possibility of reading state collapse as conditioning on an observation outcome rather than as transport through spacetime, its relation to the invariance of the speed of light, Bohr’s response to EPR and the logical ambiguity of the Copenhagen interpretation, and Einstein’s ontological concerns. Finally, the problem is considered as a “renewed Kantian overreach of reason,” in which an overreach that had been constrained by modern science and Kantian critique reappears through the mediation of precise quantum formalism. AI Assistance DisclosureGenerative AI was used as an auxiliary tool in drafting, adjusting expressions, and organizing the structure of this paper. The author bears final responsibility for the text, claims, citations, and factual verification. Keywords: EPR paradox, prediction, observation, state collapse, Bell nonlocality, Copenhagen interpretation, ontology, Kant
Quantum mechanics describes the potential future; general relativity describes the actualized past; the present is the process of actualization that turns the one into the other. That single move is Time–Actualization (TA), the foundational ontology set out here. TA assumes the quantum formalism and the relativistic causal structure, and derives neither: it adds no new physics, makes no new prediction, and asks to be judged on coherence and unifying power rather than on a measurement. It proposes a common ontological reading of measurement, EPR and the structural arrow of time. D5 locates the einselecting environment in the event's causal past; the couplings within that past remain imported, and the system/environment split is relocated rather than removed. In detail. The ontology is a minimal triplet (ρ, ν, ⟨P,≺⟩): a positive normalized state ρ on a local net of algebras (the conditional future potential), a primitive tempo ν (the rate of becoming), and a growing causal set ⟨P,≺⟩ (the past). What is not derived, and is named as such throughout, is the Born rule, Einstein's equations, and the constants. Eight core hypotheses yield seven consequences. A structural arrow of time, prior to thermodynamics (D1). A partial dissolution of the measurement problem (D2), with definiteness posited and the trigger open. Conditional dissolutions of EPR and the signalling worry (D3–D4), requiring a propagation law. A preferred basis anchored in the couplings carried by the causal past (D5). A conditional thermodynamic reading of the structural arrow (D6), requiring a posited bridge to physical reset, and further thermal assumptions for its value. And a conditional coherence lemma (D7): the actualization dynamics is generally covariant and no-signalling once the substrate carries the standard locality of physics. D7 claims less than the Rideout–Sorkin Bell causality condition, which is a screening-off analogue of Bell's local causality and is not inherited. We then develop the proposed physics of the tempo ν: a correspondence with a local quantum speed scale and a saturation choice, both posited. Quantum speed limits alone do not bound an ontic event count. The missing bridge must specify event resolution, additive counting and an applicable composable speed bound. The substrate cadence that reconstructs proper time is kept distinct from a system's tempo; their operational connection remains to be supplied. TA aims at empirical equivalence to quantum mechanics on a causal-set substrate. We label the admissibility requirement P5; its verification, including instrumented multi-time statistics, remains open. No distinctive prediction is claimed. The causal-set "swerve" is inherited from discreteness, generic and not specific to actualization. We close with the open dynamics, its system/substrate interface, the conditional constitution of systems, and the inherited limits of the programme.
Abstract This paper proposes that time is not a fundamental dimension of reality but an emergent property generated through a specific causal chain originating in a quantum gravitational mechanism not yet fully characterized by existing physics. There is no universal t = 0 in an absolute sense. There is only a threshold at which the quantum gravitational mechanism begins to generate motion, and time becomes applicable within a localized system only after that threshold is crossed. The central chain of inference is as follows: the quantum gravitational mechanism generates motion; motion generates new distinguishable information states; time is the ordered accumulation of those information states; and because information cannot be destroyed in the ontological sense proposed by this framework, the temporal sequence is irreversible by structural necessity rather than by thermodynamic probability. This four-step chain is not merely a restatement of existing physics in new language. It provides a mechanistic basis for the arrow of time, a physical account of wave function collapse, a structural explanation for the ontological threshold at quantum measurement, a reframing of the QM/GR incompatibility, a structural consequence for time travel impossibility within the framework’s own ontology, a predicted structural basis for the Hubble tension, an ontological resolution of quantum information scrambling — identifying apparent scrambling not as a property of the information itself but as an artifact of the outside-in observational position encountering the statistical surface of an internally ordered generative record that remains perfectly traceable from the inside-out perspective — and a precise reframing of the photon proper time paradox, identifying the τ = 0 result not as experiential simultaneity but as the expected mathematical signature of a massless particle operating at the c boundary condition of the emergent temporal domain where derived temporal measures are structurally inapplicable — each as a consequence of the same single ontological principle rather than as separately introduced claims. The fact that a single ontological principle generates resolutions to problems that physics has treated as unrelated for decades is not coincidental. It is the kind of convergent explanatory structure that has historically accompanied correct foundational claims — and the experimental program described here is designed to determine whether this framework earns that status. The ontology advanced here is referred to as Generative Inscription: the view that ordered time is the downstream accumulation of irreversibly inscribed state distinctions generated by motion from an upstream quantum-gravitational source. This framework advances toward operational unity by introducing a time-generation scalar field χ encoding the local density of irreversible information state generation per unit of action, a coupling constant κmotion defining the relationship between kinetic energy flux and information state generation rate, a phase transition model for the ontological threshold, a formal discriminator (ℛtot) bounding apparent thermodynamic time reversal against an absolute ontological record burden, candidate scaling laws for experimental signatures in fusion plasma diagnostics, a modified Friedmann equation incorporating geometric temporal asymmetry, and a defined set of minimal admissibility conditions formalizing the quantum gravitational mechanism as a constrained generator class rather than an unspecified placeholder. The primary coordinate is shifted from standard time t to Action S, with t emerging as a derived parameter, so that the mathematical structure reflects the ontological hierarchy this proposed framework claims. The framework employs an action-parameterized tangent vector rather than the standard four-velocity, separates coupling constants by operational scale, and adopts the Maupertuis formulation of action as the primary coordinate from which time derives. The framework is explicitly differentiated from related prior work by Wiltshire, Barbour, Vaccaro, and Brukner. Two cosmological predictions follow structurally from the core ontology: χ field convergence nodes at cosmic web filament intersections produce qualitatively distinct temporal environments, and gravitational wave events constitute propagating χ field disturbances with testable quantum measurement correlatives. Recent experimental observation of superluminal optical vortex motion provides an empirical glimpse of the distinction this framework draws between the generating mechanism’s operational level and the emergent temporal domain c governs. The experimental program described in Section 6 is not separate from the theory. It is the proposed inside-out crucible by which the framework would be falsified or strengthened through sustained nuclear fusion plasma diagnostics operating at stellar-interior conditions as should become available as fusion reactor technologies reach operational status within the next 10 to 20 years. Correspondence: seedire@gmail.com
Modern theoretical physics rests on two highly successful but conceptually distinct frameworks: quantum mechanics and general relativity. While both theories are experimentally confirmed to high precision within their respective domains, they rely on fundamentally different starting points. General relativity takes spacetime as a primitive geometric structure, whereas quantum mechanics is formulated in terms of abstract state spaces without intrinsic spacetime meaning. Most approaches to quantum gravity attempt to reconcile this tension by modifying, quantizing, or discretizing spacetime itself. Even in approaches where spacetime is said to be “emergent,” it typically remains the primary conceptual backdrop on which physical processes are defined. Despite extensive efforts, there is no consensus on whether spacetime should be regarded as fundamental or derivative. In this work, a more radical starting point is explored. Rather than modifying spacetime or its geometry, we ask whether spacetime can be excluded entirely from the fundamental layer of the theory and recovered only at a later, operational stage. The central question is not how spacetime behaves, but whether the notion of “what lies between physical objects” must be spatial or temporal at the most fundamental level. We propose a framework—referred to here as Super Relativity (SR)—based on a single pre-geometric postulate: the existence of a monotonically expanding set of possible quantum configurations, referred to as the flux. Formally, this flux is represented as a monotone, σ-finite family of capacity measures on a common configuration space (introduced in Section 2). This postulate deliberately refrains from assuming spacetime, time ordering, metric structure, causality, or dynamics. Within this pre-geometric core, two derived, dimensionless notions are introduced: utilization, describing the realization of configurations, and saturation, defined as the ratio between utilized and available configurations. A central structural element of SR is the strict separation between a core layer and an interface layer. In the core layer, all quantities are pre-geometric and dimensionless, and no reference is made to space, time, motion, energy, or interaction. Only at the interface layer are operational notions introduced, including clocks, rulers, and signal propagation. Spacetime, in this construction, is not a dynamical entity but an effective bookkeeping structure that encodes relative rates of change once a calibration to physical units is performed. Within this framework, gravitational phenomena do not originate from spacetime curvature taken as fundamental. Instead, they arise from variations in saturation that, at the interface level, manifest as uniform rescalings of physical processes. When expressed in geometric language, these rescalings reproduce the standard predictions of general relativity, including gravitational time dilation and the equivalence between gravitation and acceleration. The invariant local speed of light is not postulated but follows as a derived consequence, since both clock rates and signal propagation are affected identically by the same underlying saturation mechanism. The aim of this paper is not to introduce new empirical predictions beyond those of general relativity, nor to present a complete theory of quantum gravity. Rather, the objective is foundational: to demonstrate that the mathematical structure of general relativity can be reconstructed from a single pre-geometric postulate without assuming spacetime as part of the fundamental ontology. In this sense, SR should be understood as a reconstruction and reinterpretation of known physics, rather than as a competing dynamical theory. An extended and fully explicit formulation of the framework, including all intermediate steps, is available in a companion preprint (version V12) deposited on Zenodo. The present paper restricts itself to the minimal conceptual and mathematical structure required to establish logical consistency and to demonstrate the emergence of general-relativistic behavior at the interface level.
Wheeler proposed that acts of registration constitute classical reality through the formation of records. Taking the proposal literally requires a structure that turns what a finite observer can distinguish into persistent classical facts, and a condition that makes many local facts one spacetime. Such a structure is proposed on the observer's causal diamond. Quantum field theory and general relativity are unchanged. A record is a settled classical fact, formed when which-outcome information leaves the diamond. A central postulate is the record rule, which fills unrecorded content from the vacuum, conditioned on the existing records. Constitutive descent, the compatibility of nesting in time with gluing across space, is then proposed to join local records into one shared world. A framework is presented together with its consequences. First, gravity responds only to what has been recorded. Two masses that have been recorded, but whose positions remain in superposition, still attract, yet classically mediated gravity cannot entangle them, a prediction testable by tabletop experiments. Second, records are irreversible and only accumulate, and their accumulation carries an arrow, proposed here as the arrow of time. Third, the structure yields candidate values for quantities usually taken as inputs, including three generations, four spacetime dimensions (d = 4), the rate λ = 3/(16π²) at which recording resolution fails per logarithmic scale, the transfer g = 1/d and the Higgs bare quartic λ₀ = 1/8. Companion papers apply the same recording geometry to cosmological observables and to Standard Model mass ratios. No-go results show that local recording cannot fix absolute amplitudes or favour one allowed branch over another. Absolute scales must therefore be set by measured values, and amplitudes and branch selection are proposed to close through Wheeler's self-excited circuit, in which records fix the geometry that defines the observer. Shared reality is thus built from the records settled on each observer's causal diamond, joined by constitutive descent.