Quantum Entanglement Geometry Topology
Jincheng Zhang
Abstract
Quantum entanglement, a cornerstone of quantum mechanics, presents a unique opportunity for novel information transfer paradigms. This paper explores the potential of utilizing quantum entanglement's non-linear effects to construct a geometrically-based entanglement model, enabling cross-dimensional information exchange and predicting the potential geometric forms of quantum entanglement. We propose a novel approach that leverages topological structures induced by entangled states, transforming entanglement into a complex geometric topology, and employing the inherent properties of topology to facilitate communication beyond classical limits. This research investigates the implications of this approach for secure and potentially revolutionary data transmission.