Title: Quantum-Enhanced Differential Geometry
Jincheng Zhang
Abstract
This paper presents a novel approach to differential geometry utilizing quantum principles to achieve unprecedented insights into spacetime and gravity. We propose a method for applying quantum algorithms to calculate curvature and torsion, generating a 'quantum field' that subtly influences geometric properties. The core claim is that this application of quantum mechanics will reveal previously unobserved aspects of spacetime, potentially leading to a paradigm shift in our understanding of fundamental physics. We outline the theoretical framework, propose a specific algorithm, and discuss the potential implications of this research.