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.