THE GOLDEN SECTION, FIBONACCI NUMBERS, MATHEMATICS OF HARMONY AND “GOLDEN” SCIENTIFIC REVOLUTION
Journal Title: КОМП’ЮТЕРНІ НАУКИ ТА КІБЕРБЕЗПЕКА - Year 2016, Vol 2, Issue 2
Abstract
The Publishing House “World Scientific” recently published two fundamental books: Alexey Stakhov “The Mathematics of Harmony” (2009) and Alexey Stakhov and Samuil Aranson “The “Golden” Non-Euclidean Geometry” (2016). In the given article the author develops the Mathematics of Harmony and “Golden” Non-Euclidean Geometry as a new interdisciplinary direction of modern science based on the golden section, Fibonacci numbers and their generalizations. The newest discoveries in different fields of modern science based on the Mathematics of Harmony, namely, mathematics (a general theory of hyperbolic functions and a solution to Hilbert’s Fourth Problem, algorithmic measurement theory and “golden” number theory), computer science (the “golden” information technology), crystallography (quasi-crystals), chemistry (fullerenes), theoretical physics and cosmology (Fibonacci-Lorentz transformations, the “golden” interpretation of special theory of relativity and “golden” interpretation of the Universe evolution), botany (new geometric theory of phyllotaxis), genetics (“golden” genomatrices) and so on, creats a general picture of the “Golden” Scientific Revolution, which can influence fundamentally on the development of modern science and education.
Authors and Affiliations
Alexey Stakhov
Keywords
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