Title: Quantum-Enhanced Differential Geometry - Superposition Field Theory

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum-enhanced differential geometry presents a novel approach to representing and manipulating geometric concepts, leveraging the principles of quantum superposition to achieve unprecedented precision in field calculations and shape synthesis. This paper explores the development of 'Quantum Superposition Fields' – a system designed to embody and interact with geometric spaces through quantum superposition. We detail the foundational principles, computational models, and potential applications of this methodology, aiming to revolutionize geometric analysis and provide a powerful tool for complex field modeling. The core claim is that this method offers a significant advancement over traditional differential geometry, enabling the calculation of intricate geometric forms and properties with enhanced accuracy and efficiency.

DOI: 10.5281/zenodo.22196950

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