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Structural Mechanics of Quantum Entanglement in the Theory of Structural Articulation (TSA)

Aleksandr Nett

Published Feb 7, 2026• 0 citations
Publisher

Abstract

Quantum entanglement is commonly interpreted either as a manifestation of nonlocal dynamics or as a purely epistemic feature of the quantum state.In this work, we present an alternative explanation based on the Theory of Structural Articulation (TSA), in which entanglement is neither a dynamical interaction nor a property of multiple independent objects. Instead, entanglement is identified with the topological integrity of a single structural defect embedded in a fundamental medium, whose spatially separated boundaries are observed as entangled particles. A strict separation is introduced between (i) the ontological condition of existence of such a defect, expressed as a topological invariant, and (ii) the statistical condition of observation, encoded in a contextual measure of realizability. The framework reproduces the exact quantum correlation E(a,b)=−cos⁡θE(a,b) = -\cos\thetaE(a,b)=−cosθ for singlet states, violates Bell inequalities without superluminal signalling, and provides a physically transparent resolution of the measurement problem within a metriplectic dynamics. The theory further predicts the intrinsic metastability of multipartite (GHZ-type) entanglement and a geometry-dependent modulation of coincidence yield, even in the limit of ideal detectors. These predictions render the model explicitly falsifiable and experimentally distinguishable from standard quantum mechanics.

DOI
10.5281/zenodo.18518806

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Quantum entanglement is commonly interpreted either as a manifestation of nonlocal dynamics or as a purely epistemic feature of the quantum state.In this work, we present an alternative explanation based on the Theory of Structural Articulation (TSA), in which entanglement is neither a dynamical interaction nor a property of multiple independent objects. Instead, entanglement is identified with the topological integrity of a single structural defect embedded in a fundamental medium, whose spatially separated boundaries are observed as entangled particles. A strict separation is introduced between (i) the ontological condition of existence of such a defect, expressed as a topological invariant, and (ii) the statistical condition of observation, encoded in a contextual measure of realizability. The framework reproduces the exact quantum correlation E(a,b)=−cos⁡θE(a,b) = -\cos\thetaE(a,b)=−cosθ for singlet states, violates Bell inequalities without superluminal signalling, and provides a physically transparent resolution of the measurement problem within a metriplectic dynamics. The theory further predicts the intrinsic metastability of multipartite (GHZ-type) entanglement and a geometry-dependent modulation of coincidence yield, even in the limit of ideal detectors. These predictions render the model explicitly falsifiable and experimentally distinguishable from standard quantum mechanics.
This work proposes a structural and topological framework for the description of multipartite quantum entanglement within the Theory of Structural Articulation (TSA). Entanglement is interpreted not as an abstract algebraic property of quantum states in Hilbert space, but as a manifestation of the connectivity of a single structural defect embedded in an underlying medium. The fundamental carrier of quantum structure is modeled as a hypergraph of difference connectivity, whose irreducible hyperedges encode genuine multipartite correlations. Observable entanglement is described as a projection of this hypergraph onto a connectivity graph of pairwise correlations. A topological invariant—the first Betti number of the connectivity graph—is introduced and shown to characterize redundancy of correlation pathways and robustness of multipartite quantum resources against local losses. This provides a unified topological classification of GHZ-type states, W states, and cluster states, and explains qualitative differences in their stability. Beyond static classification, the work formulates a thermodynamic mechanism for the emergence of structural complexity in open quantum systems. Dissipative relaxation of structural conflict drives spontaneous closure of connectivity loops, leading to growth of topological redundancy and formation of highly connected phases. Multipartite entanglement is thereby interpreted as an equilibrium or quasistationary phase of a dense system of structural defects, rather than as the result of fine-tuned unitary control. The results offer a structural interpretation of multipartite entanglement, linking topology, robustness, and self-organization, and suggest new perspectives on the physical origin of scalable quantum resources for quantum information processing and quantum memory.
Quantum entanglement is traditionally described as a statistical correlation encoded in a many-body wavefunction. While this framework successfully predicts measurement outcomes, it leaves unresolved whether entanglement reflects purely probabilistic structure or an intrinsic physical organization of quantum states. Recent experiments have demonstrated that high-dimensional entangled states possess thousands of distinct, experimentally accessible topological invariants that persist under basis changes, noise, and local perturbations. These features are difficult to reconcile with a purely statistical interpretation of the wavefunction, but arise naturally if entanglement corresponds to intrinsic geometric structure within state space. This work analyzes experimental results reported in Nature Communications (2025) showing robust, high-dimensional topological structure embedded in conventional entangled states. We show that the multiplicity, stability, and basis-independence of these invariants support an interpretation of entanglement as intrinsic geometry rather than as observer-dependent probability. Under this interpretation, nonlocal correlations reflect shared geometric structure rather than information transfer, and robustness arises from topological protection rather than statistical averaging. The paper does not modify the formal machinery of quantum mechanics, but reframes the physical meaning of the quantum state. Entanglement is interpreted as a geometric configuration of collective modes whose topology constrains allowed correlations. This perspective provides a natural physical explanation for robustness, nonlocality, and measurement independence, and places strong constraints on interpretations in which the wavefunction is purely epistemic. Together with independent results in condensed matter and gravitational physics, these findings support a geometry-first interpretation of quantum phenomena and contribute to a growing body of experimental evidence that quantum states possess intrinsic physical structure beyond probabilistic description.
Quantum entanglement produces correlations that violate classical locality constraints while remaining fully consistent with relativistic no-signaling. Although standard quantum mechanics predicts these correlations with extraordinary empirical success, the ontological meaning of entangled states and the physical status of wave-function collapse remain deeply debated. This paper develops a speculative but structured informational interpretation in which entangled subsystems are modeled as multiple local realizations of a single shared informational identity within an underlying finite-capacity substrate. The framework is articulated through explicit postulates, density-matrix analysis, entanglement entropy, a toy realization scheme, and an informational identity operator acting on composite states. Within this view, nonlocal correlations arise not from superluminal causal influence but from ontological non-separability at the informational level. Measurement is interpreted as informational resolution: a reduction of degeneracy in the local realization of a shared informational structure. The irreversible stabilization of outcomes is then linked to thermodynamic cost through Landauer-type reasoning. The proposal is not advanced as a replacement for quantum mechanics, nor as a fully worked-out hidden-variable theory, but as an ontological scaffold intended to unify entanglement, collapse, and thermodynamic irreversibility within an informational perspective. Compatibility with Bell inequalities, decoherence, basis selection, and no-signaling is discussed in detail, together with limitations and possible routes toward future formalization and empirical relevance.
Abstract This work presents an interpretation of the phenomenon of quantum entanglement within the framework of the Topological Model of Physics (MTF). It is proposed that correlations between particles can be described in terms of a shared global phase or structure, defined at the common origin of the particles in the system. This phase does not determine pre-existing values of observables, but rather acts as a common geometric or topological constraint that is preserved during separation, whose projection in each measurement depends on the experimental context. In this approach, such a phase does not require dynamical evolution during the separation of the particles, and therefore the observed correlations need not be interpreted in terms of action at a distance at the moment of measurement. This proposal is related to the original formulation of the EPR paradox, as well as to the restrictions imposed by Bell’s inequalities and their experimental verifications, particularly in the works of Alain Aspect and CHSH. In this framework, the notion of “spooky action at a distance” is considered unnecessary as an explanatory element, since correlations are interpreted as the manifestation of a structure shared from the origin. A form of state or structural realism is preserved, but not a classical realism of pre-existing values; furthermore, there is no signal transmission and the limit imposed by the speed of light is respected. In standard quantum theory, when a property of an entangled particle is measured, the collapse of the wave function common to both particles occurs. Therefore, the value of the property measured in one of them determines the value of that same property in the other. The theory is fully verified experimentally, but it does not explicitly state the physical mechanism underlying this result. The aim of this presentation is to offer a physical interpretation of an underlying mechanism.
AbstractQuantum entanglement remains one of the most profound mysteries in modern physics. Although Bell inequality violations have ruled out local hidden-variable theories, the physical origin of nonlocal correlations lacks a clear ontological foundation. This paper proposes that entanglement is not a fundamental property of quantum mechanics per se, but an emergent manifestation of an intrinsic topological correlated structure within the material phase (Ξ), driven by global two-phase information conservation. Embedded within the author’s information-energy accounting system, this framework derives Bell inequality violation from the principle of least action with two-phase coupling. We introduce observer coherence as a key parameter modulating nonlocal correlation efficiency and provide three testable predictions: observer coherence modulates entanglement decoherence rate, statistical anomalies in physical random number generators during global synchronized events, and a characteristic settlement delay signature in Bell experiments. This work unifies quantum entanglement with quantum measurement, black hole information processing, and cosmic dark energy dynamics under a single cross-scale information settlement paradigm. Keywords: quantum entanglement, Bell inequality, nonlocality, information conservation, topological order, principle of least action, decoherence, observer coherence
Quantum entanglement is experimentally established yet conceptually unsettled. While standard quantum mechanics accurately predicts non-classical correlations and Bell-inequality violations, it remains largely silent on the ontological structure that makes such correlations possible. This paper presents a constraint-based interpretation of entanglement in which correlated outcomes arise from shared formation conditions rather than from particle-to-particle influence or superluminal signalling. The approach preserves all empirical predictions of quantum theory, respects relativistic causality, and reframes entanglement as a structural feature established at creation rather than an interaction occurring at measurement. The work establishes priority for an ontological mechanism underlying entanglement while remaining fully consistent with long-baseline, satellite-scale, and laboratory quantum experiments.