Title: Quantum-Classical Hybrid Geometry
Jincheng Zhang
Abstract
Quantum-Classical Hybrid Geometry explores a novel approach to modeling complex systems by integrating quantum mechanics and classical geometry. This research proposes a framework wherein quantum principles subtly influence geometric transformations, while classical principles refine and stabilize these transformations, ultimately leading to emergent phenomena. The core mechanism centers around a 'Quantum-Classical Hybrid' system, where the quantum guide establishes a foundation for geometric manipulation, and the classical refinement ensures stability and facilitates the discovery of novel patterns. This work seeks to advance our understanding of how these two fundamentally different realms can converge, offering a potential pathway towards more robust and insightful modeling of complex systems.