Quantum Topology-Based Dynamic Geometric Transformations

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper explores the application of quantum topology to dynamically transform geometric shapes. Classical geometric transformations are typically static, limiting the complexity and flexibility of geometric modeling. We propose a novel method utilizing quantum topology to achieve dynamic adjustments, offering a potentially transformative approach to shape representation and manipulation. The core mechanism centers around the creation of a 'quantum state' that governs geometric evolution, allowing for continuous, adaptive transformations. This research delves into the theoretical foundations, algorithm design, and preliminary implementation of this dynamic transformation framework. The paper presents a conceptual overview of the quantum topology approach and outlines future research directions, focusing on scalability and the exploration of its potential impact on various geometric modeling tasks.

DOI: 10.5281/zenodo.22296950

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