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Quantum Entanglement as Shared 1D Filaments: A Deterministic Mechanical Resolution of Non-Locality

Darius Puzinas

Published Jan 13, 2026• 0 citations
Publisher

Abstract

Quantum entanglement is traditionally viewed as a non-local correlation that defies classical mechanical explanation. This paper provides a deterministic derivation of entanglement using the Universal Space Theory (UST) framework. We propose that "entangled" particles are 3D inclusions that share a common 1D filament within the Stochastic String Network (SSN). We demonstrate that the instantaneous correlation of states is a direct result of longitudinal tension propagation along the shared string, which occurs at the medium's zipping velocity. This model resolves the Einstein-Podolsky-Rosen (EPR) paradox by replacing abstract non-locality with physical connectivity, providing a purely classical substrate for Bell's Theorem violations.

DOI
10.5281/zenodo.18229045

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Quantum entanglement is traditionally viewed as a non-local correlation that defies classical mechanical explanation. This paper provides a deterministic derivation of entanglement using the Universal Space Theory (UST) framework. We propose that "entangled" particles are 3D inclusions that share a common 1D filament within the Stochastic String Network (SSN). We demonstrate that the instantaneous correlation of states is a direct result of longitudinal tension propagation along the shared string, which occurs at the medium's zipping velocity. This model resolves the Einstein-Podolsky-Rosen (EPR) paradox by replacing abstract non-locality with physical connectivity, providing a purely classical substrate for Bell's Theorem violations.
The phenomenon of quantum entanglement, classically interpreted as "spooky action at a distance" due to the apparent instantaneous correlation of spatially separated systems, represents a profound epistemological crisis in modern physics. This letter resolves the EPR paradox by replacing the abstract concept of non-locality with deterministic continuum mechanics. By postulating a rigid, three-dimensional Euclidean vacuum modeled as a pre-tensioned fluid (epsilon0, mu0), entangled energetic nodes (photons) are demonstrated to remain physically connected via a continuous macroscopic torsion tube. The instantaneous synchronization of spin states during measurement is mathematically derived as the strict conservation of total angular momentum across this highly strained vacuum conduit. This classical mechanical approach eliminates the necessity of probability waves, proving that entanglement is an explicit manifestation of mechanical phase stiffness rather than a violation of the speed of light. Alternative explanation for quantum entanglement: Resolving the EPR paradox and non-locality through classical continuum mechanics, identifying entangled systems as mechanically coupled torsion tubes in a rigid Euclidean vacuum.
Quantum Entanglement—the phenomenon where spatially separated particles exhibit instantaneous correlations—poses a fundamental challenge to the principle of locality central to General Relativity. The standard interpretation accepts "spooky action at a distance" (non-locality) as an irreducible feature of nature. In this work, we propose a geometric resolution based on Unified Field Dynamics (UFD). We postulate that the configuration space Q possesses a higher connectivity than the apparent 3D spatial manifold. Building on the UFD Soliton Model (where particles are topological knots), we demonstrate that entanglement corresponds to a state where two solitons share a common Topological Flux Line in the bulk of the configuration space. Although separated by a large geodesic distance in the emergent 3D metric, the solitons remain adjacent in the underlying high-dimensional topology of Q. This framework reinterprets the EPR paradox not as a violation of causality, but as a manifestation of Vacuum Connectivity. We show that this model is isomorphic to the ER=EPR conjecture (Entanglement = Einstein-Rosen Bridges) but derives the "bridges" naturally from the connectivity of the S^3 fiber bundle, eliminating the need for wormhole singularities.
Abstract: Quantum entanglement is one of the most remarkable phenomena in modern physics — a situation in which two particles, without any apparent physical connection, exhibit perfectly coordinated behaviour. This striking feature has led many to conclude that the universe must be fundamentally nonlocal. In this paper, we show that entanglement can be explained without any recourse to nonlocality, within a fully classical and deterministic framework. In this view, all physical phenomena arise from a single, continuous underlying substrate; what we call "entanglement" is simply a reflection of sharing this common foundation. The theory reproduces all known results of quantum experiments, including the violation of Bell inequalities, by relaxing the assumption of measurement independence — a step that is both physically motivated and locally consistent. A new testable prediction is also offered. The conclusion is that entanglement is not evidence of nonlocality, but rather a manifestation of the fundamental unity of nature
In recent decades it was established that the measurements of physical quantities in space-time points divided by large space-like intervals can be correlated.The correlation is created by the measurements while their mutual influence requires the corresponding supraliminal velocities.This situation is commonly known as the violation of the Bell inequality in the Bohm version of Einstein-Podolsky-Rosen paradox.Nearly 40 years the question remains disputable with a variety of contradicting views.The most frequently the violation is explained by the existence of some momentary action at a distance which obliges the quantum mechanics (as well as all nature) to be nonlocal.We find the "common cause in the past" as the origin of the observed quantum correlation which so far was unnoticed either by the partisans of quantum non-locality or their opponents.The novelty of our approach is the accent on the expressions for the observed physical quantities rather than on the "entangled" two-particle wave functions.We show the crucial role of phases in the correlation process that is hard to notice using the traditional approach.
This paper provides a strictly local, deterministic, and geometric derivation of quantum entanglement within the framework of Finsler-Maxwell Thermo-Relativistic (TR) Gravity. By extending the 4-dimensional positional space-time manifold to the 8-dimensional phase space of the Finsler tangent bundle TM, we demonstrate that quantum entanglement is not a non-local "spooky action at a distance." Instead, it is a manifestation of topological contiguity along the vertical fibers of velocity, frequency, and temperature. We prove that the measurement-induced correlation wave propagates at a superluminal coordinate velocity (V_intrication approx 2.603 * c) from a Riemannian perspective, yet remains strictly causal and subluminal (V_intrication < V_lim) within the conformally broadened Finslerian light-cone matrix. This approach provides a self-regularizing, geometric resolution to the Einstein-Podolsky-Rosen (EPR) paradox without violating local Lorentz covariance, showing that quantum correlations are encoded directly within the intrinsic non-zero bundle torsion.
The Einstein-Podolsky-Rosen (EPR) paradox challenges the completeness of quantum mechanics under the assumptions of separability and locality, while Bell's theorem and its loophole-free experimental confirmations rule out local hidden variables and establish that entangled correlations are nonlocal yet no-signaling. This paper formulates, within the spacetime-quantum unified-field theory, a self-contained resolution of the paradox. Starting from the six axioms of the theory, we model the entangled pair as two local excitations of the single global spacetime-quantum field, a coherent superposition of discrete spacetime quanta (Axiom 1). We show that the EPR elements of reality are not attributes of the separated subsystems but properties of the global coherent configuration established within the common past light cone, so that EPR's tacit separability premise fails in this ontology (Axioms 1 and 5). Measurement is identified as a strictly local energy exchange (Axioms 2 and 5) whose influence propagates at most at the speed of light by the local hyperbolic master equation (Axiom 3), and we prove, by the invariance of the reduced density matrix, that no signaling is possible. The Bell correlations are reproduced as a consistency condition inherited from the standard-model sector (Axiom 4), with the Tsirelson bound 2√2 following from the no-signaling structure. Complete derivations of the correlation function, the Clauser-Horne-Shimony-Holt inequality and its violation, the no-signaling theorem, the local measurement model, and the coherence-entanglement relation are provided in the appendices.