Fine-Structure Constant from Golden Ratio Geometry

International Journal of Mathematics and Physical Sciences Research 5 (2):89-100 (2018)
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Abstract

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.

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Citations of this work

Physical Mathematics and The Fine-Structure Constant.Michael A. Sherbon - 2018 - Journal of Advances in Physics 14 (3):5758-64.
Golden Ratio Geometry and the Fine-Structure Constant.Michael A. Sherbon - 2019 - Journal of Advances in Physics 16 (1):362 -368.

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References found in this work

Magic Number: A Partial History of the Fine-Structure Constant.Helge Kragh - 2003 - Archive for History of Exact Sciences 57 (5):395-431.
Quantum Gravity and Phenomenological Philosophy.Steven M. Rosen - 2008 - Foundations of Physics 38 (6):556-582.
Fundamental Nature of the Fine-Structure Constant.Michael A. Sherbon - 2014 - International Journal of Physical Research 2 (1):1-9.

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