The Golden Mean

THE GOLDEN SECTION’S PIVOTAL ROLL IN MODERN SCIENCE
Scott A. Olsen

Abstract: Traditionally when one thinks of the Golden Section as the basis of proportional symmetry, one conjures up the image of a principle of aesthetics, e.g. architecture, sculpture and painting.  However, the Golden Section has in recent years played a formidable, in fact striking role in science. It has cast its net into a wide variety of the most provocative scientific developments. These include phyllotaxis (Jean, Barabe & Bodnar), wind and water turbulence (Selvam), cryptography and encryption (Stakhov), DNA structure and nucleotide arrangement (Petoukhov, He & Perez), consciousness research – microtubules and clathrins (Penrose & Hameroff),  microprocessors and Fibonacci computer development (Stakhov), possible Poincare dodecahedral structure of the universe (Luminet & Weeks), chaos border (Kolmogorov, Arnold & Moser), C60 (Kroto, et al.), quasicrystals (Shechtman), and Fibonacci regularity in the periodic table (Jakushko). The stunning discovery in 2010 (Coldea, et al.) placed the Golden Section as the principle of symmetry at the heart of quantum mechanics. This golden proportional symmetry has been found as the basis for the fine structure constant, quark masses, and therefore subatomic particle masses, in what has been termed a kind of “harmonic musical ladder” (El Naschie). It has further been invoked in the solution of the most perplexing paradoxes of quantum mechanics including non-locality and entanglement (L. Hardy), wave/particle duality, and most recently the mystery of dark energy (El Naschie). This ubiquity – utter pervasiveness – of the Golden Section throughout the sciences should lend support to the proposition that there is a harmony of mathematics throughout nature. The fact that the simplest asymmetric cut could lead to the underlying principle of equilibrium – of golden proportional symmetry – should provide the basis for some very interesting discussion at Symmetry Festival 2013.

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