Quantum Topology: Adaptive Geometry Modeling
Jincheng Zhang
Abstract
Quantum topology, a fascinating field of physics, explores the concept of shapes and spaces that are inherently unstable and can undergo continuous, self-organized transformations. This paper investigates the application of quantum topology to geometry modeling, specifically focusing on the automated adjustment of model parameters to achieve finer geometric detail and enhanced numerical simulation accuracy. We introduce a novel framework that leverages the dynamic nature of quantum topology to create highly adaptable geometric representations, offering a significant advancement over traditional methods. This work demonstrates the potential of this approach to revolutionize the precision and efficiency of numerical simulations within the field of quantum topology.