Quantum Topology Geometric Evolution

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

Quantum topology, a fascinating field, explores the interplay between quantum mechanics and topology. This research investigates the geometric evolution of quantum topologies, specifically focusing on the design and application of a novel geometric evolution algorithm. The core claim is that this algorithm, driven by quantum topological principles, offers a robust method for simulating and analyzing complex systems, enabling a deeper understanding and predictive capability than traditional approaches. The study encompasses a detailed mathematical framework, including the formulation of a geometric evolution process, the implementation of the proposed algorithm, and analysis of its efficacy through simulations. This paper presents a comprehensive overview of the research, including the mathematical basis of the geometric evolution, the algorithmic design, and preliminary experimental results demonstrating the algorithm's capabilities.

DOI: 10.5281/zenodo.22252242

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