Quantum Topology Based on High-Order Time Integrals: A Teleological Optimization Model

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

Quantum topology, a rapidly developing field, explores the potential of manipulating spacetime using quantum mechanics. This paper presents a novel teleological optimization model based on high-order time integrals, designed to learn and optimize complex topological structures. The model leverages the unique properties of time integrals to dynamically adjust the topology of a system, enabling efficient and robust transformations. The core mechanism centers around the generation and utilization of dynamic topological maps, achieved through the application of time integrals, offering a paradigm shift compared to existing algorithms. This research aims to provide a framework for automated topological design and manipulation, holding significant implications for various fields including materials science, quantum information theory, and beyond.

DOI: 10.5281/zenodo.22289858

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