Non-Linear Topological Geometry: A Computational Framework for Stability Simulation and Quantum-Enhanced Optimization

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper introduces a novel computational framework, termed "Dynamic Topological Geometry" (DTG), that leverages the interplay between dynamic topology and quantum entanglement to simulate and optimize complex topological structures. We propose a novel framework for analyzing and manipulating topology, incorporating quantum entanglement to capture the inherent dynamism of topological systems. This approach aims to overcome the limitations of traditional optimization algorithms, particularly in the analysis and control of intricate topological designs. The core mechanism centers on utilizing quantum entanglement to represent and manipulate the underlying topological dynamics, enabling more precise and efficient optimization of complex structures. This work represents a significant step towards developing advanced computational tools for topology, offering a potential paradigm shift in the field.

DOI: 10.5281/zenodo.22454316

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