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.
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.
Abstract This paper develops a metaphysical interpretation of quantum probability under the title Distributed Presence (DP). The central claim is that quantum probabilities should not be understood as measures of ignorance, nor merely as formal devices for predicting measurement outcomes, but as expressions of an objective mode of being: a system’s structured distribution of presence across mutually available channels of realization. On this view, a quantum system prior to measurement is neither fully actual in one determinate outcome nor reducible to a set of hidden definite properties. Rather, it exists in a non-binary mode, articulated by normalized presence fractions associated with the possible outcomes defined by a given interaction context. The Born rule is accordingly not replaced, but reinterpreted: the standard probability assignment is read as the operational expression of an underlying ontological distribution. The paper argues that this framework provides a unified reading of several familiar quantum features. Superposition is understood as a real distribution of presence rather than as epistemic indeterminacy; measurement is interpreted as single-channel actualization rather than as the physical destruction of alternatives; wave-particle duality is recast as the relation between distributed structure and localized realization; and quantum randomness is treated as intrinsic yet structurally constrained. The proposal remains fully compatible with the standard Hilbert-space formalism and introduces no hidden variables, additional collapse dynamics, or many-world branching. Its aim is interpretive rather than revisionary. Beyond its relevance to the foundations of quantum theory, DP is advanced as a contribution to the ontology of probability more broadly. It seeks to show how probability may be objective, physically meaningful, and ontologically basic without collapsing into determinism on the one hand or epistemicism on the other. In that sense, the paper offers a realist, single-world, structurally articulated account of quantum chance.
Abstract Despite its empirical success, quantum mechanics continues to provoke foundational debates concerning the nature of probability, the ontological status of the quantum state, and the mechanism of measurement. [1] This work introduces Distributed Presence (DP) as a structural ontological framework that addresses these issues by reinterpreting quantum phenomena in terms of a system’s distributed mode of existence across its state space. Crucially, this distribution is modal rather than spatial: it concerns how a system is present across possible states, not how it is extended in physical space. Within the DP framework, a quantum system is not assumed to occupy a definite state prior to interaction. Instead, its fundamental mode of existence is an ontologically distributed presence, understood as a structural feature of reality rather than a reflection of epistemic uncertainty. From this standpoint, probability is not introduced as a primitive postulate but emerges operationally from the geometry of presence, yielding a structural derivation of the Born rule. Core quantum phenomena (including superposition, wave–particle duality, state reduction, and entanglement) are recast as different manifestations of a single underlying principle: the modal distribution, reconfiguration, and non‑separability of presence. Entanglement corresponds to the non‑factorizability of presence fractions over a composite state space, while non‑local correlations are interpreted as consequences of shared modal structure rather than dynamical signal transmission, fully consistent with relativistic causality. The framework is developed within a Euclidean geometric setting chosen to prioritize ontological clarity, without altering the predictive formalism of standard quantum mechanics or its Hilbert‑space representation. By grounding randomness, probability, and quantum behavior in the notion of modal distributed presence, DP offers a coherent foundational program that bridges the conceptual gap between unitary evolution and definite outcomes, providing an alternative to both epistemic interpretations and wave‑function realism.
Abstract This paper develops the second stage of the Distributed Presence (DP) programme by extending the minimal framework of DP I into a more explicit ontological architecture. Its aim is not to introduce a new dynamics or a competing predictive formalism, but to clarify how several central features of quantum theory may be understood within a pre-dynamical structural ontology. The analysis begins by sharpening the distinction between structural determination and Realization. A system is determined by its admissible channels of presence and their associated presence fractions, whereas measurement is interpreted as single-channel Realization rather than collapse. On this view, the question of why one channel is realised rather than another is not answered by hidden variables or selection dynamics; within DP, it has no further structural referent. The paper then introduces minterms as the finest ontological units of distributed presence: complete signed patterns over state space. Observable quantities arise through sign-blind coarse-graining of this underlying structure. This framework offers a structural basis for understanding operational indistinguishability, structural multiplicity, and the restricted simultaneous articulation of incompatible observables. Spin is correspondingly reinterpreted as a topological closure invariant of signed presence, rather than as literal rotation or intrinsic dynamical angular momentum. Finally, Degeneracy is understood as the effective trace of unresolved structural multiplicity. Hilbert space remains fully adequate at the empirical level, but is treated here as a compressed representation of a deeper signed structural layer. The paper closes by locating DP in relation to major foundational approaches and by stating its present limitations and future tasks.
Quantum mechanics represents physical states through complex amplitudes, state vectors, and density operators, yet the ontological status of these objects remains interpretation-dependent. This paper develops a closure-based formulation in which a quantum state is interpreted as a representation of contextually partial relational closure: the state possesses definite mathematical and relational structure while remaining unresolved relative to one or more observational contexts. Within this language, decoherence differentiates closure channels and redistributes locally accessible coherence into relational structure; environmental redundancy stabilizes records; and classical facts emerge as approximately fixed, effectively commuting, redundantly recorded structures. Measurement is separated into three problems—context, weight, and outcome—so that decoherence, Born weighting, and unique outcome selection are not conflated. The paper then distinguishes two stronger research programs from the exact reformulation. First, it asks whether Hilbert-space quantum mechanics can be reconstructed from primitive closure, incompatibility, composition, and consistency principles. Second, it formulates a falsifiable closure-history extension in which physically relevant information might exist beyond the present density operator. Quantum Partial Closure Theory is therefore presented as a relational interpretation and information calculus, a reconstruction program, and a prospective experimental framework rather than as an established replacement for quantum mechanics. Keywords: quantum foundations; closure; wavefunction ontology; coherence; entanglement; decoherence; measurement; classical emergence; quantum information; Hilbert-space reconstruction The wavefunction question Quantum theory is operationally clear about what a wavefunction does. For a normalized pure-state vector ψ∈H and a projective measurement with alternatives {Π_i}, the Born weights are p_i=Tr(ρ_ψ Π_i ), ρ_ψ=ψψ^†. For a rank-one outcome Π_i=e_i e_i^†, this reduces to p_i=|e_i^† ψ|^2. Yet the mathematical clarity of the formalism does not by itself settle what the state vector is ontologically. Interpretations of quantum theory differ over whether the state should be regarded as physical, epistemic, relational, branch-relative, dispositional, or otherwise. The present paper proposes a specific interpretive and reconstructive language: partial relational closure. The central claim is not that the wavefunction is literally a new material substance called closure. Rather, ▭(ψ "is interpreted as a Hilbert-space representation of coherent partial relational closure" .) The word partial is crucial. It does not mean that a state is a scalar fraction of being real or complete. It means that information and constraint are distributed across local, coherent, and relational sectors, and that closure is always specified relative to a context. A Bell state, for example, can be locally indefinite while being relationally exact. A decohered state can be closed with respect to one effective macroscopic context while retaining a larger quantum embedding. A selective outcome can be locally definite without implying that every larger-scale relation in the universe is globally closed. This formulation is motivated by three observations. First, projective dephasing is naturally closure-like because it is idempotent. Second, modern quantum information already supplies exact measures for local coherence, correlations, and record redundancy. Third, the quantum-to-classical transition is naturally relational: local coherence can disappear from a subsystem while information migrates into system-environment correlations. The paper has three epistemic layers. Layer A uses established quantum mathematics. Layer B derives exact information identities and interprets them in closure language. Layer C states reconstruction conjectures and an explicitly speculative beyond-QM closure-history hypothesis. These layers are kept separate throughout. A quantum system is not structureless before measurement. Its amplitudes, phases, conservation relations, and correlations are tightly organized. What remains unresolved is how that structure will become locally definite relative to a chosen measurement context. The partial-closure view therefore distinguishes three broad regimes: Coherent partial closure. Alternatives remain phase-related and can interfere. Contextual differentiation. Interaction or dephasing suppresses coherence between alternatives relative to a context without necessarily choosing one. Selective local closure. A particular outcome is conditioned or realized relative to the measurement relation. In this language, wave-like behavior corresponds to spatially or otherwise contextually unresolved coherent closure, while particle-like detection corresponds to localized closure. Entanglement is closure stored in relations rather than in isolated subsystems. Decoherence is not simply destruction: in a globally pure description it can be a transfer of local coherence into relational entanglement. Classical objectivity appears when relevant records become stable and redundantly accessible. The framework does not assign consciousness a privileged dynamical role. An observer is a partial closure process for constraining possibilities. Explainer video Watch on YouTube (Roots of Reality): https://www.youtube.com/watch?v=UYx_omk3h3A The video, its thumbnail and description are included in this record.
Distributed Presence Research Program (DP) is an interdisciplinary foundational research program investigating whether physical reality can be more coherently understood in terms of distributed, relational, and phase-structured presence rather than as a collection of fundamentally isolated entities. The program explores the possibility that mass, charge, localization, probability, field structure, quantum behavior, and spacetime organization may be interpreted as emergent modes of response, stabilization, and relational configuration within a deeper ontology of distributed presence. A central aim of the program is to develop an ontological unity in physics by articulating a framework in which the interpretation of physical properties, the ontology of fields, the status of probability, and the conceptual foundations of quantum mechanics can be approached within a common relational structure. In particular, the DP Research Program addresses: the ontology of distributed presence, the emergence of localization, the reinterpretation of mass and charge, phase and response structures, the ontological interpretation of probability, the interpretation of quantum mechanics, spacetime emergence, and the search for ontological unity across physical theory. Rather than presenting itself as a completed physical theory, DP develops a conceptual and exploratory formal framework connecting philosophy of physics, metaphysics of science, quantum foundations, field-theoretic interpretation, and ontological modeling. The program aims to function as an open research platform for conceptual clarification, formal development, and interdisciplinary dialogue on the foundations and unity of physical reality.
Quantum mechanics is empirically extraordinarily successful yet continues to admit a wide range of competing interpretations. While the formalism constrains probabilistic relations between preparation procedures, measurements, and outcomes, it does not uniquely determine the ontology that realises those relations. Interpretations such as Everettian quantum mechanics, Bohmian mechanics, objective collapse theories, relational quantum mechanics, and QBist approaches preserve the predictive structure of the theory while diverging sharply in their metaphysical commitments. At the same time, developments within quantum theory itself weaken the classical ontology of independently existing objects with intrinsic properties. Entanglement, violations of Bell inequalities, and decoherence theory collectively support the view that physical description is fundamentally relational. Structural realism therefore provides a natural interpretive framework, treating the mathematical structure of physical theory as ontologically primary. However, structural realism alone leaves open the question of instantiation: how relational organisation becomes concrete as a determinate world.This paper develops Experiential Structural Ontology (ESO) as a non-interventionist interpretation of quantum mechanics that addresses this problem. ESO retains the relational ontology suggested by quantum theory while proposing that relational constraint organisation is enacted as manifestation within a fundamental experiential field. On this interpretation, the wavefunction represents relational constraint architecture governing transitions within this field, measurement corresponds to the stabilisation of particular regimes within that structure, and decoherence explains the emergence of classical stability without invoking collapse dynamics or ontological branching.