Quantum Entanglement in Geometric Dimensions: Exploring Dimensional Reduction
Jincheng Zhang
Abstract
This paper investigates the potential of quantum entanglement to facilitate dimensional reduction in geometric spaces. We propose a novel approach leveraging the unique properties of quantum entanglement to construct and manipulate geometric structures, ultimately aiming to uncover new mathematical structures and physical phenomena. The core of our investigation centers on the application of quantum entanglement to generate geometric dimensions through a carefully designed interaction. The potential consequences of this approach include the discovery of novel mathematical structures and the potential for phenomena previously considered inaccessible within the framework of standard geometry. This work explores the theoretical implications and potential experimental avenues of this ambitious research direction.