This preprint develops a discrete, ray‑based constructive ontology for closed physical systems in which stable local records, finite‑speed causal propagation, and dynamically defined subsystem boundaries are treated as primitive structural features. The framework distinguishes realized events (actuality) from constrained sets of admissible futures (possibility), with dynamics governed by local actualization and entanglement‑limited pruning of ray bundles. Within this setting, the work establishes a statistical no‑go theorem: realist ontologies that combine locally triggered updates with unbounded, single‑step global actualization generically render stable interference statistically atypical. This yields a structural constraint on admissible ontological models for closed systems supporting definite records and repeated interference phenomena. To demonstrate that the constrained space is nonempty, the paper introduces the possibility/actuality (P/A) ontology as a concrete constructive witness. The P/A ontology satisfies the stated axioms while maintaining bounded update domains through event‑defined entanglement structure and constrained pruning dynamics. Numerical simulations show that this ray‑based model reproduces qualitative signatures of interference and Tsirelson‑bounded correlations using only finite combinatorial resources and local rules. The analysis provides a structural classification of admissible realist ontologies under minimal assumptions and presents an algorithmic realization in which constraint propagation across shared event histories governs probability, correlation, and emergent phenomenology. All simulation code used to generate the numerical results is available in the associated public GitHub repository.
This preprint develops a discrete, ray‑based constructive ontology for closed physical systems in which stable local records, finite‑speed causal propagation, and dynamically defined subsystem boundaries are treated as primitive structural features. The framework distinguishes realized events (actuality) from constrained sets of admissible futures (possibility), with dynamics governed by local actualization and entanglement‑limited pruning of ray bundles. Within this setting, the work establishes a statistical no‑go theorem: realist ontologies that combine locally triggered updates with unbounded, single‑step global actualization generically render stable interference statistically atypical. This yields a structural constraint on admissible ontological models for closed systems supporting definite records and repeated interference phenomena. To demonstrate that the constrained space is nonempty, the paper introduces the possibility/actuality (P/A) ontology as a concrete constructive witness. The P/A ontology satisfies the stated axioms while maintaining bounded update domains through event‑defined entanglement structure and constrained pruning dynamics. Numerical simulations show that this ray‑based model reproduces qualitative signatures of interference and Tsirelson‑bounded correlations using only finite combinatorial resources and local rules. The analysis provides a structural classification of admissible realist ontologies under minimal assumptions and presents an algorithmic realization in which constraint propagation across shared event histories governs probability, correlation, and emergent phenomenology. All simulation code used to generate the numerical results is available in the associated public GitHub repository.
This work addresses the long-standing claim that interference phenomena—most notably in double-slit–type experiments—cannot be physically modeled without invoking wave propagation or particles following multiple trajectories. We show that this claim rests on an implicit restriction to local, dynamical descriptions acting between emission and detection. We introduce a minimal framework in which detection events are treated as discrete realizations occurring at an absorbing boundary, while the observed interference pattern arises from global structural admissibility constraints of the full experimental configuration. The model does not attempt to generate or predict individual detection events. Instead, it characterizes the statistical distribution of outcomes as a property of realization closure rather than of local evolution in transit. Within this approach, interference patterns are understood as emergent statistical signatures of global realization structure, not as evidence of propagating waves, hidden variables, or oscillatory dynamics in space. The framework preserves all empirical features of standard interference experiments while avoiding assumptions about intermediate physical processes that are neither observed nor required by theory. This work is consistent with relativistic and quantum no-go results concerning photon trajectories, localization, and in-flight observables. It complements earlier structural interpretations of light and realization by providing a concrete, physically explicit model demonstrating how stable interference statistics arise without propagation. The contribution clarifies the precise sense in which interference is modelable, and the sense in which it is not: individual events remain intrinsically unpredictable, while their global organization is physically intelligible at the level of realization structure. The model introduces no new forces, fields, or modifications of established equations, and is intended as a refinement of conceptual foundations rather than a replacement of existing formalisms.
This work analyzes single-quantum interference experiments from a strictly empirical perspective, focusing on the observable structure of detection patterns rather than on interpretational assumptions. Across more than a century of increasingly refined experiments, interference patterns exhibit a distinctive and robust combination of features: detection events are discrete and intrinsically unpredictable, yet their accumulated distribution converges rapidly to a stable, sharply structured pattern determined solely by the global experimental configuration. We show that these empirical properties impose strong constraints on admissible physical models. In particular, the sharpness, stability, and configuration-locked nature of interference minima are incompatible with explanations based on strictly local propagational mechanisms acting in transit between emission and detection. Local dynamical processes generically entail empirical signatures—such as intermediate observables, history dependence, noise-induced degradation of minima, or gradual pattern formation—that are systematically absent in interference data. By contrasting single-quantum interference experiments with genuine propagation measurements, where intermediate fields or particle properties are in principle accessible, we demonstrate that interference belongs to a different empirical category. What is observed is not the trace of a process evolving through space, but the spatial organization of discrete realization events at an absorbing boundary, governed by global structural constraints. The analysis does not introduce new experimental predictions at the level of local quantum measurements. Instead, it establishes that the empirical character of interference patterns itself necessitates a global, non-propagational modeling framework. Interference is therefore not merely compatible with such descriptions, but empirically excludes strictly local dynamical accounts. This work provides the empirical pillar of a broader global realization program, complementing prior conceptual and modeling studies.
This paper argues that probabilistic structure should not be treated as ontologically primitive. Instead, probability is defined relative to conditions of recordability: it organizes spaces of possible records rather than properties of events as such. The analysis distinguishes between events, records, and probabilistic structures, and shows that probability acquires meaning only when stable, distinguishable, and reproducible records are available. In this view, Kolmogorovian probability theory provides a formally consistent framework, but does not specify how probabilistic domains arise from empirical observation. As a result, probabilistic formalism underdetermines ontology. Different ontological models can generate identical probabilistic structures, which implies that probability cannot serve as a direct guide to the nature of reality. The paper critically examines Ontic Structural Realism (OSR), arguing that it risks conflating representational structure with ontological structure. It concludes that any ontological interpretation of probabilistic or correlational structures requires independent justification beyond formalism.
Abstract This paper develops Distributed Presence (DP) as a discrete ontological framework for the structural reconstruction of core features usually represented within nonrelativistic quantum mechanics. Rather than taking the wave function, Hilbert space, or collapse postulates as fundamental, DP begins from the claim that a physical object possesses ontological presence distributed over a context-dependent set of admissible channels. Actualization is treated as a primitive stochastic event through which one admissible channel becomes manifest. Within this framework, a quantum particle and a die are structurally comparable as objects of manifestation: in both cases, the object’s identity is not exhausted by any single realized outcome, even though the quantum case requires a richer representational structure. On this basis, the paper argues that complex Hilbert space functions as a minimal manifestation-level encoding of distributed presence together with retained relational structure. The Born rule is reconstructed as a cross-layer identity between phenomenal probability and normalized structural presence fraction, while the Schrödinger form is interpreted as an effective law of pre-actualization redistribution. Measurement is correspondingly reframed as context-driven actualization followed by record stabilization. For composite systems, DP understands entanglement as the nonfactorizability of joint distributed presence, while operational no-signaling is expressed through invariance of local marginal presence fractions under remote contextual variation. The contribution of the paper is therefore ontological and reconstructive, not the proposal of a new empirical formalism. DP offers a single-world realist framework for understanding why central quantum structures take the form they do, while leaving the formalization of actualization, composite dynamics, and the derivation of physical constants for future research.
This paper develops the structural modeling core of a global realization approach to quantum interference. Building on prior work that established the possibility of non-propagational descriptions, the present study addresses a more precise question: how quantum interference can be explicitly modeled once local propagation, trajectories, and in-transit dynamics are excluded. The model introduces realization admissibility functionals defined over the complete experimental configuration, including source, apertures, and absorbing boundaries. These functionals are non-dynamical and non-ontic; they do not represent physical fields or evolving states, but encode global compatibility conditions that govern where detection events can coherently close. Detection probabilities emerge through statistical closure at the absorbing boundary, reproducing standard interference patterns without invoking wave superposition in space. A minimal geometric formulation is presented to demonstrate how slit configurations generate admissibility structures that yield conventional interference statistics. Within this framework, interference minima arise naturally as forbidden realizations rather than as products of destructive interaction between propagating entities. The model preserves full empirical equivalence with standard quantum mechanics while clarifying the physical status of interference as an organizational, rather than dynamical, phenomenon. This work does not modify quantum dynamics or introduce additional degrees of freedom. Its contribution is structural: it sharpens the distinction between quantum dynamical states and realization, delineates the limits of local modeling, and provides a concrete, explicit framework for modeling interference at the level where empirical outcomes occur. The paper serves as the modeling core of a broader global realization program, situated between conceptual foundations and empirical analysis.
This paper examines the ontological consequences of achieving a constraint-level closure of the Mott problem in quantum theory. The classical Mott problem concerns the tension between rotationally symmetric quantum preparations and the emergence of asymmetric, localized, track-like outcomes without appealing to observer dependence or treating wavefunction collapse as a primitive axiom. Recent developments show that such outcomes can arise as admissible, stable regimes once the relevant constraint architecture is made explicit, without committing to any particular constructive dynamics. Taking this closure as established, the present work addresses a strictly ontological question: what must physical reality be like if localisation, asymmetry, and track formation are real features of the world in the absence of primitive collapse? No new interpretation is proposed, and no hidden variables, microphysical mechanisms, or additional dynamical laws are introduced. The analysis indicates that physical reality is more accurately described as regime-bounded rather than globally constrained. Within sufficiently stabilized regimes, conservation principles operate as reliable accounting rules, but they should not be elevated to universal ontological commitments that must hold everywhere and always. Ordering is therefore not assumed to arise from time-translation symmetry, and global conservation is not presumed. Instead, what becomes physically real is determined by which configurations are admissible and stable under the constraint structure, rather than by presupposed global symmetry requirements. The scope of this paper is deliberately narrow. It develops only the minimal ontological consequences implied by the logical closure of the Mott problem, leaving constructive realizations, technical implementations, and proprietary dynamical structures to companion work.