Title: Non-Local Topological Field Theory (NTFT) - Wave Function Propagation
Jincheng Zhang
Abstract
This paper explores the potential of Non-Local Topological Field Theory (NTFT) to revolutionize wave function propagation and interpretation in quantum information. Traditional approaches often limit wave function exploration to localized regions, hindering the understanding of complex interconnected topological spaces. NTFT proposes a fundamentally different framework that allows for the propagation of wave functions across a network of topological domains, uncovering hidden connections and patterns previously obscured. This work leverages a novel approach to construct a dynamic, interconnected wave function map, offering a pathway to a deeper comprehension of quantum information and its underlying properties. The core mechanism centers around the creation of a topological field, which interacts with wave functions to propagate them across the network. We detail the theoretical foundations, mathematical formulation, and preliminary experimental explorations necessary to validate this approach.