Quantum Topology: Adaptive Geometry Transformations

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

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.

DOI: 10.5281/zenodo.22264132

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