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 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 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 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.
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.
Abstract This work presents a structural ontology of quantum mechanics grounded in the limits of formal description, rather than in interpretative models. Instead of proposing a new interpretation, modification of equations, or metaphysical extension, the text identifies a missing structural layer implicitly assumed by quantum theory: the necessity of filtration in systems operating beyond formal completeness. Drawing on Gödel’s incompleteness theorems as a structural precedent, the analysis reframes core quantum phenomena — superposition, collapse, entanglement, uncertainty, and wave–particle duality — as expressions of constrained potential rather than paradoxical physical behavior. Quantum mechanics is shown to operate in a pre-physical regime, describing admissible possibilities prior to enforced resolution, while classical physics describes the outcome of irreversible constraint. From this perspective, collapse is not caused by observation, randomness, or consciousness, but by saturation of coherence under applied constraints. Uncertainty emerges as a logical consequence of non-coexistent descriptions within a single formal frame, rather than as an epistemic limitation. The work then generalizes this framework beyond physics, demonstrating that entropy, irreversibility, and systemic collapse arise when systems continue operating beyond their Gödelian limits without a heuristic capable of recognizing formal exhaustion. This leads to a distinction between reintegrative (pre-Gödel) entropy and residual (post-Gödel) entropy regimes, with implications for computation, cognition, artificial systems, and large-scale systemic viability. This document is descriptive, not prescriptive.It introduces no implementations and proposes no cosmological mechanisms.Its contribution is the explicit articulation of structural constraints that any coherent physical or systemic description must satisfy.
Quantum Incompleteness presents an ontological interpretation of quantum mechanics in which physical systems are objectively under-specified prior to irreversible interaction. The theory rejects hidden variables, parallel worlds, and observer-dependent collapse, proposing instead that definite outcomes emerge through irreversible information-theoretic constraints that physically exclude alternatives. The wavefunction is treated as a real but non-material structural entity that defines the space of admissible outcomes rather than pre-existing values. Measurement, entanglement, classical definiteness, and the arrow of time are unified under a single completion mechanism grounded in thermodynamic irreversibility, while preserving the standard mathematical formalism of quantum mechanics. This work is empirically equivalent to standard quantum theory and is intended as a foundational clarification of what quantum mechanics describes rather than a modification of how it computes predictions.