Based Quantum Entanglement in Geometric Topology Modeling
Jincheng Zhang
Abstract
This paper explores the application of quantum entanglement to geometric topology modeling, aiming to enhance the precision of geometric representations and accelerate numerical simulations. The core concept revolves around utilizing entanglement to create a novel framework for modeling complex topological structures, offering a potential paradigm shift in computational geometry. We delve into the theoretical underpinnings of this approach, highlighting the benefits of entanglement in establishing and manipulating topological invariants. The paper presents a preliminary model and discusses the challenges and future directions of this research.