Topological Geometry Dynamic Modeling

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

This paper introduces a novel dynamic topology calculation model based on quantum phase transitions. Traditional topological computation often relies on predefined structures, limiting the ability to dynamically optimize and explore geometric features. This work leverages quantum entanglement to design a novel computational algorithm, effectively modeling and optimizing complex topological structures through "emergence." We demonstrate that this approach surpasses the limitations of traditional methods by enabling the discovery of novel geometric patterns and facilitating automated structural refinement. The core mechanism involves a quantum-enhanced iterative refinement process, driven by entanglement and allowing for the generation of intricate topological landscapes. This represents a significant advancement in computational topology, offering a pathway toward automated design and optimization of intricate geometric forms.

DOI: 10.5281/zenodo.22635359

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