Quantum Entanglement State Analysis: A Novel Geometric Approach
Jincheng Zhang
Abstract
This paper explores the potential of quantum entanglement state analysis to revolutionize geometric modeling, particularly concerning the complex behavior of quantum entanglement within non-linear geometry. We propose a novel mathematical geometric framework predicated on the instantaneous correlations inherent in entangled quantum states. This framework leverages dynamic analysis of entangled states to derive geometric properties, offering a fundamentally different approach compared to traditional methods. The core claim is that this approach can provide a precise description and predictive capabilities in the context of non-linear geometric shapes exhibiting quantum entanglement. This work presents a conceptual foundation and initial mathematical explorations, highlighting the potential for groundbreaking insights into the geometric properties arising from quantum entanglement.