Dynamic Topological Geometry: An Adaptive Topological Geometry Approach
Jincheng Zhang
Abstract
Dynamic Topological Geometry (DTG) presents a novel framework for geometric computation and modeling, leveraging the principles of quantum entanglement to achieve real-time adjustments to topological structures. This paper introduces a novel method for constructing and manipulating complex geometric forms through the application of quantum entanglement. The core mechanism involves establishing a quantum entanglement system that dynamically modifies the topological landscape, enabling rapid and adaptable geometric operations. This approach promises to significantly enhance the scalability and expressiveness of geometric modeling, particularly in areas requiring complex transformations and simulations. The study explores the potential of DTG to address limitations of traditional topological geometry, offering a paradigm shift in computational geometry.