The Topological Approach to Non-Linear Topology

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper introduces a novel topological approach to topology that integrates concepts from quantum mechanics and provides a foundation for new quantum computing algorithms. We propose a new framework, the "Topological Dimension" concept, where topology is viewed as a fundamental dimension, and utilizes quantum field theory to model quantum system topology. The core mechanism involves introducing a "topological dimension" – a fundamental property of the system – and leveraging quantum topological tools to characterize the quantum properties of the system. This work aims to provide a deeper understanding of topological systems and opens the door to novel quantum algorithm development.

DOI: 10.5281/zenodo.22290104

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