Nonlinear Topological Geometry: A Dynamic Self-Organizing Theory

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the application of dynamic topology and quantum field theory to the design of an algorithm capable of autonomously identifying and manipulating complex system topological structures. We propose a novel approach leveraging a quantum-entangled topology "graph" model, dynamically associating quantum states with topological structures. This system utilizes quantum algorithms to achieve adaptive energy conservation and information transfer. Traditional topological approaches often lack the ability to dynamically adjust and optimize complex systems, a significant limitation in real-world applications. This work aims to address this limitation by introducing a novel framework that facilitates self-organizing topological structures through quantum entanglement and optimization.

DOI: 10.5281/zenodo.22198853

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