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QEM-Closure: A Geometric-Dynamical Closure Model for Quantum Nonlocality

Wangyoufu

Published Feb 27, 2026• 0 citations
Publisher

Abstract

QEM-Closure is a self-consistent geometric-dynamical framework for quantum bipartite nonlocality, constructed based on globally shared hidden phase, π-reflection symmetry, and second-harmonic phase-locking dynamics. Without invoking quantum states, Hilbert spaces, or unitary evolution, the model rigorously derives three core features of quantum entanglement: no-signaling condition, nonlocal correlation structure, and Tsirelson bound, from classical diffusion dynamics and planar geometry. A unified observable invariant Λ is introduced as the sole free parameter, and three experimentally falsifiable predictions (universal scaling law, symmetric two-peak phase distribution, even-order harmonic corrections only) are provided. The framework is mathematically rigorous, closed, and testable, offering an underlying structural origin of quantum entanglement while being compatible with standard quantum mechanics.

DOI
10.5281/zenodo.18794713

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I propose that quantum entanglement may reflect relational connectivity at a level where ordinary spatial distance is not fundamental. In the geometric framework considered here, particle pairs arise from an underlying field, retain a shared quantum structure, and participate in a network from which three-dimensional space emerges. Spatial separation in the emergent description need not imply complete independence at the underlying level. I formulate this idea as a conceptual hypothesis and distinguish it from established quantum mechanics, from classical common-cause explanations, and from specific proposals relating entanglement to spacetime geometry. Standard entanglement, Bell correlations, and the no-signalling condition provide consistency requirements; they are not derived from the proposed framework. No graviton-mediated mechanism, dynamical law, or experimentally distinguishable prediction is established in this paper. The hypothesis motivates a research programme requiring a defined state space, a rule for emergent geometry, a treatment of measurement and decoherence, and a quantitative comparison with quantum theory.
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Quantum entanglement, a phenomenon where two or more particles become linked regardless of distance, has captivated physicists and philosophers alike. This research explores the potential of utilizing geometric principles to understand and manipulate entanglement, proposing a novel model to represent quantum entanglement as a geometric structure. We aim to investigate how the inherent geometry of entangled states can be leveraged to optimize quantum computation and communication protocols. The core claim is that establishing a geometric model of quantum entanglement will unlock new avenues for enhancing the performance of these technologies. This paper delves into the foundational concepts and proposes a mechanism for translating entanglement into a geometric framework, ultimately seeking to reveal hidden properties and potential optimizations within the space of entangled quantum states.
This work proposes a Closure–Sector Spectral Model (CSSM) as a structured geometric framework for describing quantum correlations. The model introduces a 24-sector closure structure (VM-24) and a local closure kernel formalism to derive cosine-type correlation functions consistent with quantum entanglement statistics. The theory demonstrates: Cancellation of odd harmonics via half-cycle pairing symmetry Preservation of the no-signalling condition Recovery of the Tsirelson bound under bounded sector amplitude The framework is presented as a mathematical spectral model and does not claim modification of standard quantum mechanics, but offers a geometric closure interpretation of nonlocal correlations.