Non-Euclidean Geometric Topology via Quantum Entanglement

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

This paper investigates the potential of leveraging quantum entanglement to construct topologically complex geometric spaces, challenging the fundamental assumptions of Euclidean geometry. We propose a novel method for generating and manipulating entangled quantum states to create hyper-connected geometric structures, exploring the possibility of constructing spaces that exhibit non-Euclidean properties. This work aims to advance our understanding of topology and geometry through the application of quantum mechanics, potentially revealing new geometric realities.

DOI: 10.5281/zenodo.22584199

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