Quantum Topology: A Geometric Modeling Approach for High-Dimensional Computation

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

Quantum topology, a nascent field of mathematics, offers a fundamentally new approach to geometric modeling, particularly for high-dimensional spaces. This paper explores the potential of utilizing quantum topological properties to construct efficient high-dimensional computational algorithms. We propose a novel geometric modeling framework that leverages the inherent structure of quantum topological spaces to enhance computational efficiency. The core claim is that this framework provides a significantly improved method for tackling complex geometric problems within high-dimensional spaces. We detail the mechanism of utilizing quantum topological concepts to generate high-dimensional representations, and discuss the potential benefits of this approach compared to traditional methods. The paper concludes with a preliminary investigation into the feasibility and potential applications of this geometric modeling technique.

DOI: 10.5281/zenodo.22293815

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