Quantum Entanglement and Probability Geometry: A Topological Exploration

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

Quantum entanglement, a cornerstone of quantum mechanics, presents a unique opportunity to explore the fundamental principles governing topology. This paper investigates the potential of utilizing entanglement to construct and analyze topological spaces, focusing on the influence of entanglement on topological structure and probability distributions. We propose a novel approach that leverages the probabilistic nature of entanglement to generate novel topological properties, ultimately aiming to provide insights into the evolution of complex systems. The core claim is that quantum entanglement, when incorporated into probability geometry, can lead to the discovery of new topological characteristics and a deeper understanding of the interplay between quantum mechanics and topology.

DOI: 10.5281/zenodo.22484544

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