Quantum Topology: Dynamic Geometric Transformation

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum topology, a rapidly developing field of physics, promises revolutionary insights into the fundamental properties of space and time. This research investigates the application of quantum topology to dynamic geometric transformations, specifically focusing on the design of an algorithm leveraging quantum entanglement and topological structure to achieve controlled geometric reshaping. The core claim is that a novel dynamic geometry algorithm, driven by quantum entanglement and topological principles, offers a significant advancement over traditional methods, enabling the efficient and controlled manipulation of geometric forms. This paper presents a detailed theoretical framework and preliminary implementation of the proposed algorithm, exploring its potential for applications across diverse fields, including materials science, computational geometry, and potentially, advanced robotics. The investigation delves into the intricacies of quantum entanglement and its role in generating the required topological control, ultimately demonstrating a pathway towards dynamic geometric transformations with unprecedented precision and adaptability.

DOI: 10.5281/zenodo.22195915

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