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超空间几何的数学建模

Jincheng Zhang

Published Aug 31, 2026• 0 citations
Publisher

Abstract

This paper explores the application of ultra-space geometry as a mathematical framework for modeling quantum phenomena, particularly concerning quantum entanglement and quantum field theories. It proposes a novel approach to represent quantum states by leveraging the unique properties of this geometric structure. The core claim is that constructing a robust mathematical model within this framework offers a significant advancement over existing geometric representations, specifically in capturing the subtle nuances of quantum systems. The paper details the establishment of a super-space geometry, establishes a connection between quantum entanglement and its geometric manifestation, and illustrates the potential for this approach to enhance the accuracy of simulations within quantum mechanics.

DOI
10.5281/zenodo.22185173

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This paper investigates the potential of utilizing super-space geometry as a framework for modeling quantum entanglement. Traditional entanglement theories primarily focus on particle interactions, while this work proposes a novel approach by embedding quantum entanglement within the structure of super-space geometry. We aim to develop a computational methodology that reveals the dynamic characteristics of entangled states through the lens of this geometric model. The core claim is that super-space geometry offers a unique and powerful means of capturing the non-local nature of quantum entanglement, providing a more precise and comprehensive understanding of its properties. This research explores the potential of this approach to address limitations in existing entanglement models.
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