Title: Topological Singularities in Quantum Entanglement

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum entanglement, a cornerstone of quantum mechanics, exhibits remarkable properties that challenge classical intuition. The study of its topological properties – particularly singularities – holds the key to understanding its fundamental behavior and potential for macroscopic manipulation. This research explores the concept of topological singularities within quantum entanglement, proposing a novel algorithm for identifying and quantifying these structures with unprecedented accuracy. We hypothesize that entanglement exhibits intrinsic topological properties that can be exploited to predict macroscopic behavior. This work presents a framework utilizing a dynamically evolving, fractal-based representation of entanglement to pinpoint regions of increased complexity and instability, ultimately aiming to refine our predictive models of quantum phenomena. The core mechanism involves extending the concept of "topological state" from physics to quantum mechanics, leveraging fractal geometry to visualize and analyze entanglement's structure. This approach promises a significant advancement in predicting macroscopic behavior, offering a fundamentally new perspective on entanglement's properties.

DOI: 10.5281/zenodo.22264619

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