Title: Quantum-Enhanced Differential Geometry (QEDG)
Jincheng Zhang
Abstract
Quantum-Enhanced Differential Geometry (QEDG) is a novel approach to geometric modeling in the context of quantum systems, leveraging quantum phenomena to facilitate the generation and manipulation of differential geometric structures. This research proposes a method for automatically constructing and analyzing geometric configurations within a quantum environment, aiming to provide new insights into the fundamental nature of spacetime. This paper outlines the core mechanism, exploring the potential for QEDG to reveal hidden patterns and relationships within quantum geometries. The research addresses the limitations of current theoretical approaches and introduces a framework for exploring the geometry of quantum systems with unprecedented precision and efficiency.