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Quantum-Classical Resonance Convergence

Jincheng Zhang

Published Sep 3, 2026• 0 citations
Publisher

Abstract

This paper investigates the convergence of quantum and classical phenomena through a model of continuous resonance. We propose a theoretical framework that explicitly defines the conditions under which resonance becomes dominant, offering a novel approach to understanding the intricate relationship between these two fundamental aspects of reality. The core mechanism centers on a dynamic process of amplification and propagation, where small perturbations trigger significant changes, ultimately leading to a critical point. This framework aims to bridge the gap between seemingly disparate concepts, offering a potential pathway towards a deeper understanding of complexity and emergent behavior. The significance of this work lies in its proposed dynamic model, which provides a structured approach to analyzing and predicting the interplay between quantum and classical systems.

DOI
10.5281/zenodo.22279362

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This paper investigates the convergence of quantum and classical phenomena through a model of continuous resonance. We propose a theoretical framework that explicitly defines the conditions under which resonance becomes dominant, offering a novel approach to understanding the intricate relationship between these two fundamental aspects of reality. The core mechanism centers on a dynamic process of amplification and propagation, where small perturbations trigger significant changes, ultimately leading to a critical point. This framework aims to bridge the gap between seemingly disparate concepts, offering a potential pathway towards a deeper understanding of complexity and emergent behavior. The significance of this work lies in its proposed dynamic model, which provides a structured approach to analyzing and predicting the interplay between quantum and classical systems.
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Quantum-Classical convergence describes the inevitable merging of quantum and classical systems, often observed in complex systems exhibiting chaotic behavior. This paper explores a novel mathematical framework for understanding this convergence, proposing a hybrid approach that integrates concepts from quantum mechanics (superposition, entanglement) and classical chaos theory. We introduce a model where classical elements are intrinsically influenced by quantum fluctuations, aiming to illuminate the dynamic interplay between these two fundamental scales. The paper details the core mechanism, outlining the integration of quantum and chaotic elements into a unified system. The resulting model offers a new perspective on the emergence of patterns and stability within complex dynamical systems, particularly in the context of chaotic systems. This work provides a foundation for advanced theoretical investigations into the fundamental principles underlying the convergence of these seemingly disparate realms.
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