Non-Linear Geometry Structural Analysis
Jincheng Zhang
Abstract
This paper investigates the potential of utilizing quantum entanglement to revolutionize geometric analysis, specifically focusing on the creation of a novel computational framework for simulating and analyzing complex non-linear geometries with high precision and energy efficiency. The core claim is that direct leveraging of quantum entanglement's inherent non-linear geometric properties allows for the efficient modeling and prediction of geometric stability. We introduce a "Geometric State" concept – a quantum state directly linked to geometric results – to facilitate this approach. Existing geometric simulation methods often fall short in accurately describing these intricate structures, and their computational demands are substantial. This research proposes a paradigm shift toward quantum-enhanced geometric modeling, offering a pathway to advanced simulations and predictive capabilities.