Title: Quantum-Classical Resonance in Non-Linear Systems

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the intricate relationship between quantum and classical systems, particularly focusing on the resonance phenomenon and its dynamics. We propose a novel mathematical framework to quantitatively analyze this interplay, leveraging a model of non-linear dynamics intrinsically driven by quantum fluctuations. The core claim is to develop theorems regarding the resonance frequency, demonstrating a unified approach to understanding this complex interplay. The work addresses the limitations of current models by providing a more comprehensive and mathematically rigorous framework for analyzing non-linear systems exhibiting resonance. This research offers a significant step towards a deeper understanding of the fundamental physics underlying these phenomena.

DOI: 10.5281/zenodo.22191701

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