Adaptive Geometric Algorithm Based on Quantum Topology

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper introduces a novel adaptive geometric algorithm based on quantum topology, designed to precisely model and compute complex geometric shapes. Traditional geometric algorithms often rely on static representations, limiting their ability to effectively handle intricate geometries. This algorithm leverages the unique properties of quantum topology – a theoretical framework that describes geometric structures through entanglement and superposition – to dynamically adjust geometric structures during the computation process. This adaptability significantly enhances computational efficiency and precision, offering a significant advancement over existing methods. The paper details the algorithm's design, core mechanism, and the benefits it provides across various geometric modeling tasks.

DOI: 10.5281/zenodo.22294346

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