Quantum Entanglement Modeling of Non-Linear Geometry
Jincheng Zhang
Abstract
This paper explores the application of quantum entanglement to the modeling of non-linear geometry. We propose a novel framework centered around a quantum entanglement-based geometric model, capable of dynamically adapting geometric shapes through self-induced transformations, leveraging the inherent non-linearity of quantum states. The core mechanism involves constructing a quantum entangled state representation of the geometric form, utilizing the non-linear properties of entanglement to enable self-consistent geometric evolution. This approach aims to deliver high-precision geometric modeling and deformation, offering a fundamentally new perspective on geometric computation. The investigation will detail the mathematical formulation of the model, the implementation of the entanglement-based transformation process, and the resulting geometric transformations, emphasizing the potential for high accuracy and dynamic shaping.