Quantum Entanglement: A Non-Classical Geometric Analysis Framework
Jincheng Zhang
Abstract
Quantum entanglement, a fundamental phenomenon in quantum mechanics, presents a unique challenge to classical geometric intuition. This paper investigates the potential of using entanglement to analyze space geometry, proposing a novel framework that explores the non-classical properties arising from this interconnectedness. We aim to construct a geometric structure based on entangled states, and predict the impact of entanglement on topological properties. The core mechanism involves leveraging the non-local nature of entanglement to generate a non-intuitive geometric representation. This work seeks to push the boundaries of our understanding of space and geometry, offering a potential pathway towards novel quantum computational and cryptographic applications.