Non-linear Geometric Topology for Quantum Entanglement Modeling

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the application of non-linear geometric topology to modeling quantum entanglement. Traditional approaches often rely on numerical simulations, while topology offers a potential pathway towards a more physically grounded description of entangled states. We propose a novel framework that utilizes topological structures to represent quantum entanglement, emphasizing the inherent stability of these structures. This framework aims to simplify complex entanglement models and potentially uncover fundamental insights into the nature of quantum correlations. The core mechanism involves mapping quantum entanglement as a series of topological transformations, leveraging the properties of these transformations to generate consistent and stable entangled states. This research presents a new approach to quantum entanglement modeling, offering a potential shift from computationally intensive simulations towards a more intuitive and potentially predictive framework.

DOI: 10.5281/zenodo.22201879

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