Author(s)

Alessandro Rizzo

Brescia, Italy.

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.

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

Rizzo, A. (2023) The Golden Ratio Theorem: A Framework for Interchangeability and Self-Similarity in Complex Systems. Advances in Pure Mathematics, 13, 559-596. doi: 10.4236/apm.2023.139038.