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Entanglement MTF

Marcelo Garfunkel, Juan C. Conno

Published May 3, 2026• 0 citations
Publisher

Abstract

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.

DOI
10.5281/zenodo.20013617

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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.
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.
Quantum entanglement remains one of the most conceptually unresolved phenomena in modern physics. Although quantum mechanics predicts experimental outcomes with exceptional accuracy, the ontological interpretation of nonlocal correlations remains open to debate. This paper presents a conceptual relational interpretation proposal in which entangled systems originate from a unified invariant informational structure. Under this framework, measurement is not treated as passive observation of pre-existing classical values, but as a contextual projection process interacting with an underlying shared state. The proposal suggests that entangled particles may remain contextual projections of a deeper unified relational structure rather than fully independent separated systems exchanging information after separation. To clarify the concept, the paper introduces a software architecture analogy in which multiple observable variants may share the same immutable core state while generating contextual outputs depending on interaction and input configuration. Under this interpretation, correlated quantum outcomes may emerge from shared invariant structure rather than post-separation communication. The paper also introduces a complementary Color Sphere analogy representing a unified quantum state containing structured relational information. Different measurement configurations generate distinct projections of the same underlying structure while preserving internal relational consistency. This proposal does not claim experimental verification or a complete mathematical replacement for quantum mechanics. Instead, it offers a conceptual and philosophical framework intended to motivate future mathematical, informational, or relational approaches toward understanding entanglement, measurement, and structural consistency in physical reality.
This paper presents an intuitive, mechanistic explanation of quantum entanglement using standard physics language while incorporating deeper insights aligned with the MID/QC framework. Entanglement is typically described as a correlation between two particles that persists across distance, but standard quantum mechanics does not provide a physical mechanism for how this correlation is maintained. In this interpretation, entanglement arises when two quantum systems interact closely enough for the underlying medium to form a single coherent oscillation pattern spanning both. After separation, each system remains a boundary expression of this shared structure. Measurement does not transmit information; it reveals the state of the pre existing coherence pattern. This approach preserves all quantum predictions while offering a clear physical mechanism for entanglement, correlation, and decoherence.
In the Cosmology of the Quarkbase, quantum particles and photons are interpreted as excitations of an etheric plasma represented by the scalar or vector field Ψ(x,t). An experiment that, in standard quantum theory, produces an entangled pair instead generates in this framework a single non-local field excitation: a coherent combination of Ψ-modes correlated through conservation of momentum, spin, and polarization, as well as through the coupling topology between local sources (quarkbases). Local measurement acts as a projection on this extended excitation, producing the experimentally observed strong correlations without any exchange of causal signals between detectors. The Quarkbase formalism introduces explicit medium parameters —density ρp, compressibility K, and effective mass mΨ— that define physical scales such as the screening length λ = 1/mΨ. These quantities determine the spatial decay of entanglement visibility according to V(r) ∝ e⁻ʳ/λ / r, and the effective CHSH parameter becomes Seff = C(r) 2√2. Therefore, if the vacuum possesses a finite λ, Bell-type correlations should attenuate exponentially with distance, providing a falsifiable signature of a massive or screened etheric field. Mathematically, the framework reproduces the predictions of quantum field theory —Bell states, coincidence probabilities, CHSH violation— while offering an ontological interpretation in which entanglement arises from the geometry and coherence of the Ψ-field rather than from instantaneous nonlocal action. The theory therefore unifies microscopic quantum behavior with macroscopic medium dynamics, transforming questions about “collapse” and “nonlocality” into experimentally testable properties of the underlying ether-plasma.
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.
Paper 1 established quantum mechanics as the mathematics of partial closure within Atomic Continuum Ontology. Paper 2 interpreted the Schrodinger equation as phase-preserving partial-closure evolution. Paper 3 interpreted measurement as the boundary-conditioned reclosure of partial closure into atomic-object residue. This fourth paper extends the framework to entanglement. Entanglement is here interpreted not as spooky action between already separated objects, but as shared closure prior to completed separability. The entangled state is not reducible to independently closed parts:ψ_AB ≠ ψ_A ⊗ ψ_B In ACO translation, this means that systems A and B remain jointly disclosed through a distributed partial closure relation. Measurement does not transmit influence between completed objects; it reclosures a shared relation into correlated atomic-object residues. Bell-type correlations therefore reveal the failure of completed object separability, not the existence of faster-than-light object signaling. A worked singlet-state example demonstrates how anti-correlated measurement outcomes arise as residues of a shared closure structure. The paper concludes that entanglement is distributed partial closure, and that separability belongs to the reclosed AO residue rather than to the pre-measurement ACO state.