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Dynamic Topology Geometry: A Novel Approach to Complex System Topology Prediction and Algorithm Generation

Jincheng Zhang

Published Sep 4, 2026• 0 citations
Publisher

Abstract

This paper introduces Dynamic Topology Geometry (DTG), a novel computational framework leveraging quantum entanglement to predict and understand complex system topology. We propose a method that utilizes entangled quantum states to achieve precise measurement of topological information and then guides the execution of algorithms based on this information. Traditional approaches often struggle with the complexity of these systems, and DTG offers a fundamentally new approach to topology prediction, aiming to reveal underlying patterns and constraints through quantum entanglement. The core mechanism involves establishing and manipulating entangled states to capture and analyze topological properties. The potential benefits of this framework include enhanced computational efficiency, the ability to model highly complex systems, and the potential discovery of novel topological phenomena.

DOI
10.5281/zenodo.22303720

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Dynamic Topological Geometry (DTG) presents a novel framework for geometric computation and modeling, leveraging the principles of quantum entanglement to achieve real-time adjustments to topological structures. This paper introduces a novel method for constructing and manipulating complex geometric forms through the application of quantum entanglement. The core mechanism involves establishing a quantum entanglement system that dynamically modifies the topological landscape, enabling rapid and adaptable geometric operations. This approach promises to significantly enhance the scalability and expressiveness of geometric modeling, particularly in areas requiring complex transformations and simulations. The study explores the potential of DTG to address limitations of traditional topological geometry, offering a paradigm shift in computational geometry.
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