Nonlinear Topological Geometry: A Quantum Entanglement Framework

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the intersection of non-linear topology and quantum entanglement, proposing a novel framework for modeling complex systems and quantum computation. We develop a topological geometry model utilizing quantum entanglement to simulate the evolution of topological structures, leveraging instantaneous correlations to facilitate efficient computation. The core claim is that this approach offers a fundamentally deeper level of analysis and potential for enhanced computational capabilities compared to traditional methods. We detail the design of this framework, highlighting the role of quantum entanglement in capturing the dynamic behavior of topological systems. The research focuses on demonstrating the framework's efficacy in simulating key topological phenomena, particularly those exhibiting strong entanglement.

DOI: 10.5281/zenodo.22197820

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