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Self-Adaptive Quantum Topology: A Geometric Topology Analysis Framework

Jincheng Zhang

Published Sep 6, 2026• 0 citations
Publisher

Abstract

This paper presents a novel framework for geometric topology analysis based on the principles of self-adaptive quantum topology. We propose a dynamic analysis technique that learns the geometric characteristics of quantum topology states, enabling precise analysis and modeling of topological structures. This approach leverages the interplay between quantum topology and geometry to improve computational accuracy. The core mechanism involves the design of a self-adaptive analysis framework, driven by the continuous learning of geometric features associated with quantum topology states. The significance of this work lies in its potential to significantly enhance computational capabilities, particularly when dealing with complex topological configurations.

DOI
10.5281/zenodo.22495529

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Quantum topology, a novel field of physics, explores the interplay between quantum mechanics and topology, offering potential for unprecedented computational capabilities. This paper introduces a dynamic geometry transformation model based on quantum topology, enabling the automatic adjustment of geometric structures based on problem-specific features. The core mechanism leverages the inherent self-similarity of quantum states to dynamically alter topological properties, leading to more complex geometric transformations and simulations. This research explores the potential for quantum computation through this adaptive geometry framework, addressing limitations of traditional geometric methods.
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