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Title: Non-Local Topological Field Theory (NTFT) - Wave Function Propagation

Jincheng Zhang

Published Sep 7, 2026• 0 citations
Publisher

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.

DOI
10.5281/zenodo.22639232

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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.
This paper presents a novel framework for non-local topological field theory, aiming to overcome limitations in current quantum entanglement models. Traditional entanglement concepts often struggle with long-range effects, hindering the development of robust quantum information processing. NTFT proposes a radical shift, introducing a 'topological field' that facilitates instantaneous information transmission across distances, fundamentally altering the landscape of quantum computation. We explore the theoretical implications of this approach, detailing the core mechanism of information transfer and outlining a preliminary model for its application. The proposed theory offers a potential pathway to achieve truly global quantum information processing, exceeding the capabilities of conventional entanglement techniques.
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