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).
From the exponential function of Euler’s equation to the geometry of a fundamental form, a calculation of the fine-structure constant and its relationship to the proton-electron mass ratio is given. Equations are found for the fundamental constants of the four forces of nature: electromagnetism, the weak force, the strong force and the force of gravitation. Symmetry principles are then associated with traditional physical measures.
Quintessential Nature of the Fine-Structure Constant by Michael Sherbon An introduction is given to the geometry and harmonics of the Golden Apex in the Great Pyramid, with the metaphysical and mathematical determination of the fine-structure constant of electromagnetic interactions. Newton’s gravitational constant is also presented in harmonic form and other fundamental physical constants are then found related to the quintessential geometry of the Golden Apex in the Great Pyramid.
Fundamental Nature of the Fine-Structure Constant by Michael A. Sherbon Abstract: Arnold Sommerfeld introduced the fine-structure constant that determines the strength of the electromagnetic interaction. Following Sommerfeld, Wolfgang Pauli left several clues to calculating the fine-structure constant with his research on Johannes Kepler’s view of nature and Pythagorean geometry. The Laplace limit of Kepler’s equation in classical mechanics, the Bohr-Sommerfeld model of the hydrogen atom and Julian Schwinger’s research enable a calculation of the electron magnetic moment anomaly. Considerations of fundamental lengths such as the charge radius of the proton and mass ratios suggest some further foundational interpretations of quantum electrodynamics. International Journal of Physical Research, Vol. 2, No. 1 (2014). Available at: http://www.sciencepubco.com/index.php/IJPR/article/view/1817 SSRN: 2380218 . .
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Classical Quintessence and the Cosmological Constant by Michael A. Sherbon
Abstract: From the cosmology of classical quintessence and the Cosmological Circle of ancient geometry, quintessence is calculated as the primary fundamental physical constant. The role of the fine-structure constant in quantum electrodynamics is briefly discussed and the same value for inverse alpha, the inverse fine-structure constant found in previous work, is confirmed. Then the cosmological constant is calculated, confirming a recent theoretical prediction related to the fine-structure constant and the cosmological constant.
SSRN Classics: Journal of Philosophical & Scientific Texts (12 July 2009) SSRN: 1433068
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