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The Golden Ratio Theorem: A Framework for Interchangeability and Self-Similarity in Complex Systems

The Golden Ratio Theorem: A Framework for Interchangeability and Self-Similarity in Complex Systems

作     者:Alessandro Rizzo Alessandro Rizzo

作者机构:Brescia Italy 

出 版 物:《Advances in Pure Mathematics》 (理论数学进展(英文))

年 卷 期:2023年第13卷第9期

页      面:559-596页

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主  题:Conservation Law Self-Similarity Interchangeability Golden Ratio Complex Systems Dynamic Exchange Structural Stability Mathematical Modeling Theoretical Framework P vs NP Millennium Problem 

摘      要:The Golden Ratio Theorem, deeply rooted in fractal mathematics, presents a pioneering perspective on deciphering complex systems. It draws a profound connection between the principles of interchangeability, self-similarity, and the mathematical elegance of the Golden Ratio. This research unravels a unique methodological paradigm, emphasizing the omnipresence of the Golden Ratio in shaping system dynamics. The novelty of this study stems from its detailed exposition of self-similarity and interchangeability, transforming them from mere abstract notions into actionable, concrete insights. By highlighting the fractal nature of the Golden Ratio, the implications of these revelations become far-reaching, heralding new avenues for both theoretical advancements and pragmatic applications across a spectrum of scientific disciplines.

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