The “Golden” Non-Euclidean Geometry

Hilbert's Fourth Problem, “Golden” Dynamical Systems, and the Fine-Structure Constant

Nonfiction, Science & Nature, Mathematics, Geometry, History
Cover of the book The “Golden” Non-Euclidean Geometry by Alexey Stakhov, Samuil Aranson, World Scientific Publishing Company
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Author: Alexey Stakhov, Samuil Aranson ISBN: 9789814678315
Publisher: World Scientific Publishing Company Publication: July 14, 2016
Imprint: WSPC Language: English
Author: Alexey Stakhov, Samuil Aranson
ISBN: 9789814678315
Publisher: World Scientific Publishing Company
Publication: July 14, 2016
Imprint: WSPC
Language: English

This unique book overturns our ideas about non-Euclidean geometry and the fine-structure constant, and attempts to solve long-standing mathematical problems. It describes a general theory of "recursive" hyperbolic functions based on the "Mathematics of Harmony," and the "golden," "silver," and other "metallic" proportions. Then, these theories are used to derive an original solution to Hilbert's Fourth Problem for hyperbolic and spherical geometries. On this journey, the book describes the "golden" qualitative theory of dynamical systems based on "metallic" proportions. Finally, it presents a solution to a Millennium Problem by developing the Fibonacci special theory of relativity as an original physical-mathematical solution for the fine-structure constant. It is intended for a wide audience who are interested in the history of mathematics, non-Euclidean geometry, Hilbert's mathematical problems, dynamical systems, and Millennium Problems.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This unique book overturns our ideas about non-Euclidean geometry and the fine-structure constant, and attempts to solve long-standing mathematical problems. It describes a general theory of "recursive" hyperbolic functions based on the "Mathematics of Harmony," and the "golden," "silver," and other "metallic" proportions. Then, these theories are used to derive an original solution to Hilbert's Fourth Problem for hyperbolic and spherical geometries. On this journey, the book describes the "golden" qualitative theory of dynamical systems based on "metallic" proportions. Finally, it presents a solution to a Millennium Problem by developing the Fibonacci special theory of relativity as an original physical-mathematical solution for the fine-structure constant. It is intended for a wide audience who are interested in the history of mathematics, non-Euclidean geometry, Hilbert's mathematical problems, dynamical systems, and Millennium Problems.

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