基于量子纠缠的非线性几何拓扑分析

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum entanglement, a cornerstone of quantum mechanics, has recently emerged as a potentially transformative tool for advanced mathematical research, particularly within the field of geometry. This paper investigates the application of entanglement to non-linear geometric topology, proposing a novel framework based on the concept of "entangled geometry." We explore how entanglement can be leveraged to create and analyze complex geometric structures, offering a pathway towards enhanced computational capabilities and a deeper understanding of fundamental topological properties. The core claim centers around the development of a method utilizing entangled geometric forms to represent and manipulate geometric relationships, leading to novel insights into non-linear topology. This work will detail the conceptual foundation, mathematical formulations, and preliminary experimental explorations that demonstrate the potential of this approach.

DOI: 10.5281/zenodo.22198913

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