High-Order Quantum Geometry: A Probabilistic Topological Analysis

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the application of high-order quantum geometry to the analysis of complex systems. We propose a novel approach that integrates the probabilistic structure of quantum geometry with the dynamics of a probability field, offering a more precise framework for understanding system evolution. The core mechanism involves modeling the topological structure as a probability field and subsequently simulating the evolution of the probability field through changes in the topological structure. This methodology aims to provide a deeper, more quantitative understanding of complex systems by capturing the underlying probabilistic nature of their behavior. The work demonstrates the potential for a significant advancement in the representation and analysis of topological phenomena within complex systems.

DOI: 10.5281/zenodo.22203001

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