Quantum superposition principle and geometry

Satoshi Uchiyama

Venkateswaran Kasirajan

Hendrik Ulbricht

Shuichi Matsumoto, 修一 松本

We formulate some fluctuations of space-time which do not generate any fluctuations in the curvature, but which nevertheless do give rise to a spontaneous breakdown of the quantum superposition principle for macroscopic objects.

Jack Cohn

Jincheng Zhang

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.