Title: Non-Euclidean Geometry for Quantum Entanglement

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum entanglement, a cornerstone of quantum mechanics, presents unique challenges to traditional geometric models. Current theories struggle to adequately capture the inherent non-linearity and probabilistic nature of these correlations. This paper explores a novel approach to quantum entanglement by proposing a modified Riemannian geometry – a framework that explicitly accounts for the non-locality of entangled particles. We aim to develop a rigorous mathematical framework for manipulating entanglement, moving beyond the limitations of standard quantum mechanics and offering a pathway to fundamentally different interpretations of quantum reality.

DOI: 10.5281/zenodo.22191160

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