Quantum Topology Simplification: An Adaptive Geometric Reduction

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum topology, a fascinating field of physics, explores the interplay between quantum mechanics and topology. Recent research has highlighted the potential of manipulating spacetime through quantum phenomena, leading to novel geometric properties. This paper investigates the application of adaptive geometric simplification, leveraging the unique properties of quantum entanglement, to restructure and simplify topological structures. Specifically, we propose a method that utilizes quantum entanglement to subtly alter the underlying geometry, providing a new computational framework for analyzing and manipulating topological systems. This approach aims to offer a fundamentally different approach to understanding and modeling topological phenomena, potentially revealing insights into their robustness and adaptability. The core claim is that the combined effect of quantum entanglement and adaptive geometric simplification leads to simplified, more robust topological structures, and provides a novel computational model.

DOI: 10.5281/zenodo.22192255

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