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P05 Quantum-Nonlocal-Oneness . Why Projectional Distance Cannot Be Upgraded into Source-Level Distance

Dedong Zhan

Published Mar 24, 2026• 0 citations
Publisher

Abstract

Quantum-Nonlocal-Oneness argues that the deepest mistake in ordinary accounts of non-locality is the ontic upgrading of projectional distance. On the surface, quantum non-locality is described in terms of spatial separation, distant coordinates, separated apparatus, and correlations that persist across intervals. But these descriptions already belong to the projection stratum. They register how structures appear under spatial readout; they do not establish source-level distance at the ontic layer. The central claim of this paper is therefore hard: quantum non-locality is not action at a distance, but the separated readout, in projection, of zero-distance identity at the source level. The real source of failure lies in an earlier false chain. Projectional separation is repeatedly presumed to entail ontic separation. Yet that step does not hold. Spatial interval is not source-level distance. Coordinate non-coincidence is not a fracture of oneness. Local separation does not automatically entail ontic disconnection. What appears as “far apart” is a readout-layer description, not a verdict about the source-structure of what is read. The problem is thus not why long-range correlation exists, but why distance-structure in projection is misjudged as ontic distance-structure at the source layer. Within this account, CΩ does not add one more mystical explanation of entanglement, nor one more reformulation of Bell-type correlation. It cuts the source of misassignment. Local position, interval, measurement basis, apparatus layout, and separated correlation patterns belong to CΩ as finite readout and local organization. They may display separation; they do not lawfully produce source-level distance. The source-license of zero-distance identity belongs only to Ω. The result is sharp: quantum non-locality is not a violation of locality by hidden long-range action, but the projectional appearance of separation over a source-level structure whose ontic distance is zero under oneness. Key word:quantum entanglement; quantum nonlocality; Bell’s theorem; quantum mechanics; entanglement; non-locality; EPR paradox; spooky action at a distance; quantum information; quantum computing; Bell inequality; Bell test; quantum foundations; physics foundations; quantum physics; entangled particles; entangled photons; quantum correlation; quantum reality; local realism; hidden variables; local hidden variables; nonlocal correlations; quantum state; wave function; wavefunction collapse; measurement problem; superposition; decoherence; quantum decoherence; quantum communication; quantum cryptography; quantum teleportation; quantum sensing; quantum metrology; quantum networks; quantum internet; quantum technology; Nobel Prize in Physics 2022; Alain Aspect; John Clauser; Anton Zeilinger; entanglement experiments; loophole-free Bell test; CHSH inequality; no-signaling; no communication theorem; quantum causality; causality in quantum mechanics; space and time in quantum mechanics; quantum measurement; quantum information science; qubits; photon polarization; spin entanglement; multipartite entanglement; entanglement entropy; quantum channel; quantum correlations at distance; realism versus quantum mechanics; locality versus nonlocality; entanglement swapping; delayed choice; quantum eraser; quantum field theory; many worlds interpretation; Copenhagen interpretation; pilot wave theory; Bohmian mechanics; relational quantum mechanics; quantum Bayesianism; emergent spacetime; geometry and entanglement; zero-distance identity; projectional distance; source-level distance; ontic distance; projection stratum; source stratum; readout structure; ontic structure; local versus global; coordinate separation; spatial separation; separated systems; joint measurement outcomes; quantum nonlocal oneness; readout is not ontology; projectional readout; ontic oneness; source license; Omega closure; CΩ stratum

DOI
10.5281/zenodo.19199565

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Quantum-Nonlocal-Oneness argues that the deepest mistake in ordinary accounts of non-locality is the ontic upgrading of projectional distance. On the surface, quantum non-locality is described in terms of spatial separation, distant coordinates, separated apparatus, and correlations that persist across intervals. But these descriptions already belong to the projection stratum. They register how structures appear under spatial readout; they do not establish source-level distance at the ontic layer. The central claim of this paper is therefore hard: quantum non-locality is not action at a distance, but the separated readout, in projection, of zero-distance identity at the source level. The real source of failure lies in an earlier false chain. Projectional separation is repeatedly presumed to entail ontic separation. Yet that step does not hold. Spatial interval is not source-level distance. Coordinate non-coincidence is not a fracture of oneness. Local separation does not automatically entail ontic disconnection. What appears as “far apart” is a readout-layer description, not a verdict about the source-structure of what is read. The problem is thus not why long-range correlation exists, but why distance-structure in projection is misjudged as ontic distance-structure at the source layer. Within this account, CΩ does not add one more mystical explanation of entanglement, nor one more reformulation of Bell-type correlation. It cuts the source of misassignment. Local position, interval, measurement basis, apparatus layout, and separated correlation patterns belong to CΩ as finite readout and local organization. They may display separation; they do not lawfully produce source-level distance. The source-license of zero-distance identity belongs only to Ω. The result is sharp: quantum non-locality is not a violation of locality by hidden long-range action, but the projectional appearance of separation over a source-level structure whose ontic distance is zero under oneness. Key word:quantum entanglement; quantum nonlocality; Bell’s theorem; quantum mechanics; entanglement; non-locality; EPR paradox; spooky action at a distance; quantum information; quantum computing; Bell inequality; Bell test; quantum foundations; physics foundations; quantum physics; entangled particles; entangled photons; quantum correlation; quantum reality; local realism; hidden variables; local hidden variables; nonlocal correlations; quantum state; wave function; wavefunction collapse; measurement problem; superposition; decoherence; quantum decoherence; quantum communication; quantum cryptography; quantum teleportation; quantum sensing; quantum metrology; quantum networks; quantum internet; quantum technology; Nobel Prize in Physics 2022; Alain Aspect; John Clauser; Anton Zeilinger; entanglement experiments; loophole-free Bell test; CHSH inequality; no-signaling; no communication theorem; quantum causality; causality in quantum mechanics; space and time in quantum mechanics; quantum measurement; quantum information science; qubits; photon polarization; spin entanglement; multipartite entanglement; entanglement entropy; quantum channel; quantum correlations at distance; realism versus quantum mechanics; locality versus nonlocality; entanglement swapping; delayed choice; quantum eraser; quantum field theory; many worlds interpretation; Copenhagen interpretation; pilot wave theory; Bohmian mechanics; relational quantum mechanics; quantum Bayesianism; emergent spacetime; geometry and entanglement; zero-distance identity; projectional distance; source-level distance; ontic distance; projection stratum; source stratum; readout structure; ontic structure; local versus global; coordinate separation; spatial separation; separated systems; joint measurement outcomes; quantum nonlocal oneness; readout is not ontology; projectional readout; ontic oneness; source license; Omega closure; CΩ stratum
The standard interpretation of quantum measurement on entangled systems holds that measuring one particle nonlocally collapses the wavefunction of its spacelike-separated partner. We argue that this conclusion rests on a false presupposition: that subsystems of entangled systems possess independent ontic states. If the global wavefunction is the sole ontic object (ψ-ontic holism), then for entangled systems, there is no "state of B" to be affected by measurement at A. Measurement is a local dynamical process-concretely modeled by continuous spontaneous localization-that destroys one local wavefunction component at the measurement site; the global state factorizes as a consequence, and subsystem ontology emerges for the first time. The transition of the distant particle's reduced density matrix from mixed to pure reflects this emergence of separability, not a physical change at the distant location. The framework satisfies no-signaling and embraces the contextuality required by the Kochen-Specker and GHZ theorems. We are explicit about its relation to Bell's theorem: Bell local causality (factorizability) fails, as it must in any empirically adequate theory, but the failure is confined to outcome independence and is identified with the nonseparability of the global ontic state, while parameter independence-and with it the locality of the dynamics-holds exactly. Decoherence provides the mechanism by which the global wavefunction factorizes and classical separability emerges. The apparent nonlocality of quantum mechanics is thus reinterpreted as nonseparability: the fundamental ontology is holistic, but the dynamics are local.
Introduction Fifty years after the publication of Bell's theorem, there remains some controversy regarding what the theorem is telling us about quantum mechanics, and what the experimental violations of Bell inequalities are telling us about the world. This chapter represents my best attempt to be clear about what I think the lessons are. In brief: There is some sort of nonlocality inherent in any quantum theory, and, moreover, in any theory that reproduces, even approximately, the quantum probabilities for the outcomes of experiments. But not all forms of nonlocality are the same; there is a distinction to be made between action at a distance and other forms of nonlocality, and I will argue that the nonlocality needed to violate the Bell inequalities need not involve action at a distance. Furthermore, the distinction between forms of nonlocality makes a difference when it comes to compatibility with relativistic causal structure. The Bell locality condition is a condition which, if satisfied, renders possible a completely local account of the correlations between outcomes of spatially separated experiments. Bell's theorem tells us that the probabilities that we compute from quantum mechanics do not admit of such an account. Modulo auxiliary assumptions that, in my opinion, should be noncontroversial, this yields the conclusion that there must be something nonlocal about any theory that yields the quantum mechanical probabilities or anything close to them. One way to violate the Bell locality condition – and this is the way that any deterministic theory must do it – is via straightforward action at a distance. However, we should also consider the possibility of a stochastic theorywith probabilistic laws that involve irreducible correlations. The sort of nonlocality inherent in such a theory involves relations between events that are significantly different from causal relations as usually conceived. Perhaps surprisingly, such a theory, unlike its deterministic cousins, need not invoke a distinguished relation of distant simultaneity. This makes a difference for the situation of the two sorts of theories vis-a-vis relativity. Though a deterministic theory can achieve the appearance of being relativistic, at the level of observable phenomena, it can do so only by introducing a preferred foliation and with it a causal structure at odds with relativistic causal structures. Things are otherwise with dynamical collapse theories.
The standard interpretation of quantum measurement on entangled systems holds that measuring one particle nonlocally collapses the wavefunction of its spacelike-separated partner. We argue that this conclusion rests on a false presupposition: that subsystems of entangled systems possess independent ontic states. If the global wavefunction is the sole ontic object (ψ-ontic holism), then for entangled systems there is no “state of B” to be affected by measurement at A. The reduced density matrix of a subsystem, while operationally useful, is not ontologically real for non-factorizable states. Measurement is a local dynamical process — concretely modeled by continuous spontaneous localization (CSL) — that destroys one local wavefunction component at the measurement site. The global state factorizes as a consequence, and subsystem ontology emerges for the first time. The transition of the distant particle’s reduced density matrix from mixed to pure reflects this emergence of separability, not a physical change at the distant location. We show that this framework is consistent with no-signaling, with the contextuality required by the Kochen–Specker and GHZ theorems, and with the local measurement axiom (Postulate M) proposed in a companion paper. Bell’s theorem does not force nonlocality upon our framework because it presupposes outcome determinism — the assignment of definite values to observables prior to measurement — which several quantum mechanical theorems and our ψ-ontic ontology explicitly deny. Decoherence, which is ubiquitous in nature, provides the mechanism by which the global wavefunction factorizes and classical separability emerges. The apparent nonlocality of quantum mechanics is thus reinterpreted as nonseparability: the fundamental ontology is holistic, but the dynamics are local.
The Einstein–Podolsky–Rosen paradox and Bell’s theorem sit at the center of one of the most famous unresolved questions in physics: how can distant quantum outcomes remain so perfectly correlated without reducing reality to either hidden variables or some troubling form of nonlocality? For nearly a century, this debate has shaped the foundations of quantum theory, the interpretation of entanglement, and, more recently, the conceptual language surrounding quantum information and quantum computing. Yet one possibility may still be underexplored: what if the puzzle begins from the wrong ontological starting point? This paper asks exactly that question. Standard quantum mechanics already accepts many systems as physically unified wholes described by a single composite wavefunction: atoms, multi-electron states, molecular orbitals, and hadrons. Even increasingly large molecules continue to exhibit interference, showing that quantum oneness is not destroyed simply by size or spatial extension. If such preserved composite oneness is already an accepted part of quantum theory, then why is the EPR–Bell pair so often framed first as two independently sufficient distant objects? The proposal developed here is both simple and provocative: the EPR–Bell pair may, prior to measurement, belong to the same ontological class as other accepted composite quantum systems. On this view, the pair is not first two complete distant realities that must somehow remain coordinated across space, but one preserved composite wavefunction whose support spans separated regions and whose distinct local outcomes emerge only when the whole state is resolved. If that is right, then one of the deepest questions in modern physics changes form. The issue is no longer simply how two distant objects stay correlated. The issue becomes whether the assumption of separability was imposed too early. This paper develops that conjecture step by step, using accepted quantum examples, the original EPR question, Bell’s constraint, and the logic of composite Wavefunction Oneness. The result is a new way of reopening the nonlocality problem—not by denying Bell, and not by proposing hidden variables, but by asking whether the EPR–Bell discussion has been starting from the wrong picture of what the physical system actually is.
This work offers a foundational, ontological re-examination of the Einstein-Podolsky-Rosen (EPR) paradox and the violation of Bell inequalities. It argues that the apparent "nonlocality" in quantum mechanics stems not from a physical mechanism of interaction, but from an inadequate ontological premise shared by classical reasoning and many interpretations of quantum theory. Core Thesis: The paradox arises from the implicit assumption that measurement outcomes in entangled systems represent independent, local facts that pre-exist or can be defined separately. The work rejects this premise. Instead, it proposes that entangled states describe indivisible ontological structures, where correlated outcomes are not separate entities to be coordinated, but inseparable aspects of a single whole. Key Conceptual Innovations: The JED Postulate (Ontological Simultaneity): The cornerstone of the framework. It posits a global constraint on the co-realization of facts: for an entangled state, individual outcomes cannot exist as autonomous facts. They can only be realized as elements of an admissible pair (e.g., {Alice+, Bob-} or {Alice-, Bob+}). This is not a temporal or causal constraint, but a structural condition for existence. Formalism of Frames and Admissibility Relations: The ontology is formalized using "frames" (sets of co-existing facts) and an "admissibility relation" R, which encodes the structure of an entangled state (e.g., for a singlet: R = {(+, -), (-, +)}). The JED postulate ensures that a frame containing one element of a related pair must contain its counterpart. The "Broken Mirror" Metaphor: A central heuristic. Entanglement is likened to a mirror broken into two complementary halves. The halves do not "communicate" to match; their perfect fit is a consequence of their common origin in a single act of breaking. Asking "which half appeared first?" or "how does one half know about the other?" is ontologically meaningless—there is no process that produces only one isolated half. Resolution of the EPR Paradox: The paradox dissolves because its first step—treating Alice's local outcome as an independent fact—is invalid within the JED ontology. There is no independent fact for locality to protect, hence no contradiction between correlations and relativistic locality. Interpretation of Bell's Theorem: The work reframes Bell's theorem. Its violation is not proof of nonlocality, but empirical evidence against the ontology of independent local facts. Bell's mathematics is correct, but its physical significance depends on ontological axioms that may not hold. The JED ontology provides a local, realistic (but not fact-local) framework consistent with the correlations. Distinction from Hidden Variables: The approach is explicitly not a hidden-variable theory. It introduces no hidden parameters λ governing individual outcomes. The relation R is a structural definition of the entangled whole, not a hidden cause of correlations. Probabilities are treated as a descriptive layer over the admissible ontological structures. Methodology: The work is developed in the spirit of the "pencil-case" methodology, constructing minimal ontological models to analyze the logical roots of physical puzzles without adding new dynamical mechanisms. Scope and Intent: The present work should be read as a contribution to the philosophy of physics: it does not aim at proposing a new physical theory, but at clarifying the ontological assumptions underlying existing formalisms. It seeks to shift the discussion from "how do the parts communicate?" to "what kind of whole do the parts constitute?" The formalism is shown to be logically consistent with the standard quantum correlation function (e.g., E(θ,φ) = -cos(θ-φ)), without deriving it, thereby separating the ontological question of admissibility from the empirical-statistical question of probability distribution. Keywords: EPR Paradox, Bell's Theorem
EPR showed that two particles emitted from a source can be entangled by a shared wavefunction where two non-commuting observables (position, momentum) can be simultaneously real, leading to a contradiction with quantum mechanics (two non-commuting variables can not be simultaneously real). John Bell derived an inequality where any local hidden variables prediction is bounded and quantum mechanics can violate the inequality. Bell tests on correlated photon pairs showed a clear violation of the Bell inequality and agreement with quantum mechanics. This study revealed that the Bell inequality holds at any individual instances in a given system but it does not hold over the entire population. The Bell inequality is not an incompatibility criterion for local hidden variables vs quantum mechanics rather it is a criterion for an individual nature vs population dynamics. The nonlocality prediction given by wavefunction is a system approximation and local causality (photon polarization) provides a complete description of the Bell tests. The paper concludes with great satisfaction that the measurement of two correlated photons at a distance was a local cause (photon-filter interaction did not violate the special theory of relativity).