拓扑量子纠缠的自适应几何建模

Jincheng Zhang

Published Aug 29, 2026• 0 citations

Abstract

This paper explores the potential of utilizing quantum entanglement's self-adaptive geometry to construct a dynamic and self-adaptive mathematical model for describing complex systems' topology, and predicting their behavior. Specifically, we investigate how quantum entanglement's inherent properties can be leveraged to dynamically adjust geometric structures, enabling precise modeling of intricate system dynamics. The core mechanism involves integrating quantum entanglement with geometric transformations, creating a framework for capturing the evolution of complex system behavior. We demonstrate the feasibility of this approach through a conceptual and preliminary analysis, highlighting the significant gap in current research towards this domain. This work represents a novel investigation into applying quantum mechanics to the modeling of topological phenomena, specifically focusing on the intricate interplay between geometry and entanglement.

DOI: 10.5281/zenodo.22157251

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