Nonlinear Topological Geometry: A Quantum Entanglement Model

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper introduces a novel quantum entanglement model based on nonlinear topological geometry. We propose a framework leveraging the inherent randomness within topological structures to model quantum entanglement, aiming to overcome limitations of traditional entanglement models. The core mechanism involves introducing the "topological self-association" concept, dynamically generating entangled states and providing a computational framework for precise quantum entanglement simulation. The research addresses the inherent challenges associated with representing and manipulating quantum states through deterministic approaches, offering a more intuitive and potentially robust description of quantum correlations. This work demonstrates the potential of non-linear topological geometry to provide a fundamentally different approach to quantum entanglement analysis and simulation.

DOI: 10.5281/zenodo.22290178

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