Nonlinear Geometric Structures and Quantum Effects

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the application of quantum mechanics to nonlinear geometric structures, focusing on the potential to enhance computational accuracy and simulation precision. The core claim is that leveraging quantum effects – specifically entanglement and superposition – can significantly improve the performance of geometric modeling and simulation techniques. We investigate several potential mechanisms, including quantum-accelerated calculations and improved simulation fidelity through the manipulation of quantum states. This research addresses a significant gap in computational methods by integrating quantum principles into geometric analysis. The paper presents a theoretical framework and preliminary experimental investigations to illustrate the feasibility and potential impact of this approach. The goal is to develop novel computational strategies for complex geometric problems, offering a path towards more accurate and efficient modeling.

DOI: 10.5281/zenodo.22183152

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