Quantum Topology: Adaptive Geometry Analysis

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

Quantum topology, a fascinating field at the intersection of quantum mechanics and topology, has recently garnered significant attention due to its potential for generating novel geometric structures. This paper explores the application of adaptive geometry analysis to quantum topology, investigating its stability and identifying potential applications. We propose a novel algorithm that dynamically adjusts the topology of a quantum system, enabling a deeper understanding of its behavior. The core claim is that this approach, leveraging self-adaptive geometry, can reveal hidden stability patterns within complex geometric transformations, potentially leading to new insights into quantum topology. The work presents a framework for analyzing quantum topology through an iterative process of topology adjustment, driven by the algorithm's self-control.

DOI: 10.5281/zenodo.22636588

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