Fine-Structure Constant from Golden Ratio Geometry

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After a brief review of the golden ratio in history and our previous exposition of the fine-structure constant and equations with the exponential function, the fine-structure constant is studied in the context of other research calculating the fine-structure constant from the golden ratio geometry of the hydrogen atom. This research is extended and the fine-structure constant is then calculated in powers of the golden ratio to an accuracy consistent with the most recent publications. The mathematical constants associated with the golden ratio are also involved in both the calculation of the fine-structure constant and the proton-electron mass ratio. These constants are included in symbolic geometry of historical relevance in the science of the ancients.

α is the fine-structure constant, φ is the Golden Ratio, A is the Golden Apex of the Great Pyramid and K is the polygon circumscribing constant. 2016 CODATA: 137.035 999 160 (33).

Sherbon, M.A. “Fine-Structure Constant from Golden Ratio Geometry,” International Journal of Mathematics and Physical Sciences Research, 5, 2, 89-100 (2018). RG:322797654

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Goodreads | Quotes About Fine Structure Constant (73 quotes)

Goodreads | Quotes About Fine Structure Constant.

“All integral laws of spectral lines and of atomic theory spring originally from the quantum theory. It is the mysterious organon on which Nature plays her music of the spectra, and according to the rhythm of which she regulates the structure of the atoms and nuclei.”
Arnold Sommerfeld, Atombau Und Spektrallinien

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