Title: Dynamic Adaptive Geometry via Topological Information Theory
Jincheng Zhang
Abstract
This paper explores the application of Dynamic Adaptive Geometry (DAG) to enhance numerical simulations of complex topological structures. The core claim is that incorporating quantum entanglement within DAG allows for a significant reduction in computational cost and improved accuracy, particularly for intricate topological configurations. We introduce a novel geometric transformation algorithm leveraging quantum entanglement to dynamically expand the computational scope, minimizing the reliance on traditional methods. The study focuses on the potential for this approach to revolutionize numerical modeling of topological phenomena. This work presents a framework for efficiently processing data associated with topological structures, offering a pathway toward significant advancements in computational methods.