scholarly journals A New Contribution for WYP 2005: The Golden Ratio, Bohr Radius, Planck’s Constant, Fine-Structure Constant and g-Factors

2005 ◽  
Author(s):  
R. Heyrovska
Keyword(s):  
Fine Structure ◽  
Golden Ratio ◽  
Structure Constant ◽  
Fine Structure Constant ◽  
Bohr Radius ◽  
Planck’S Constant ◽  
Planck's Constant ◽  
G Factors

scholarly journals The Creation of a Photon: A Heuristic Calculation of Planck’s Constant ħ or the Fine Structure Constant α

1978 ◽  
Vol 33 (8) ◽  
pp. 993-994 ◽  
Author(s):  
A. O. Barut
Keyword(s):  
Fine Structure ◽  
Center Of Mass ◽  
Structure Constant ◽  
Fine Structure Constant ◽  
Mass Motion ◽  
Dynamical Mechanism ◽  
Planck’S Constant ◽  
Radiation Theory ◽  
Planck's Constant ◽  
Doppler Correction

,A dynamical mechanism is presented to calculate Planck’s constant ħhence α. Because the charge inside the electron performs a zitterbewegung, the relativistic radiation theory is applied to this motion of the charge, rather than to its “center of mass” motion. With a small Doppler-correction the value obtained is α-1 = 137.03. Some tests of the theory are suggested.

scholarly journals Mysticism and the Fine Structure Constant

2020 ◽  
Vol 34 (3) ◽  
pp. 455-492
Author(s):  
Philip Robert Brown
Keyword(s):  
Fine Structure ◽  
Golden Ratio ◽  
Structure Constant ◽  
Fibonacci Sequence ◽  
Fine Structure Constant ◽  
Werner Heisenberg ◽  
Empirical Discovery ◽  
The 1950S ◽  
Range Of Variation

The number $\pi/(2\cdot6^3)$, suggested as the value of the fine structure constant $\alpha$ by Werner Heisenberg in 1935, is modified by "quantizing" $\pi$. This obtains, by empirical discovery, a new number which is much closer to the current measured value of the fine structure constant and within the range of variation of the fine structure constant reported by astronomers from their observation of the spectra of distant quasars. The expression of the reciprocal of this number in base 6 arithmetic yields further evidence for the surprising connection between the number 137 and Kabbalah first noted by Gershom Scholem in the 1950s. The results are interpreted in the hermeneutic tradition of the Pauli-Jung collaboration (relating, in particular, tothe World Clock dream) and Pythagorean mysticism. Some connections of the number $137$ to the golden ratio and the Fibonacci sequence are also explored.

scholarly journals Fine-Structure Constant from Golden Ratio Geometry

2018 ◽  
Author(s):  
Michael A. Sherbon
Keyword(s):  
Fine Structure ◽  
Hydrogen Atom ◽  
Exponential Function ◽  
Golden Ratio ◽  
Structure Constant ◽  
Fine Structure Constant ◽  
Electron Mass ◽  
Mass Ratio ◽  
Mathematical Constants

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.

scholarly journals Physical Mathematics and the Fine-Structure Constant

2018 ◽  
Author(s):  
Michael A. Sherbon
Keyword(s):  
Fine Structure ◽  
Golden Ratio ◽  
History Of Mathematics ◽  
Structure Constant ◽  
Early History ◽  
Coupling Constants ◽  
Fine Structure Constant ◽  
Hyperbolic Function ◽  
History Of ◽  
And Mathematics

Research into ancient physical structures, some having been known as the seven wonders of the ancient world, inspired new developments in the early history of mathematics. At the other end of this spectrum of inquiry the research is concerned with the minimum of observations from physical data as exemplified by Eddington's Principle. Current discussions of the interplay between physics and mathematics revive some of this early history of mathematics and offer insight into the fine-structure constant. Arthur Eddington's work leads to a new calculation of the inverse fine-structure constant giving the same approximate value as ancient geometry combined with the golden ratio structure of the hydrogen atom. The hyperbolic function suggested by Alfred Landé leads to another result, involving the Laplace limit of Kepler's equation, with the same approximate value and related to the aforementioned results. The accuracy of these results are consistent with the standard reference. Relationships between the four fundamental coupling constants are also found.

scholarly journals Physical Mathematics and The Fine-Structure Constant

2018 ◽  
Vol 14 (3) ◽  
pp. 5758-5764 ◽  
Author(s):  
Michael A. Sherbon
Keyword(s):  
Fine Structure ◽  
Golden Ratio ◽  
History Of Mathematics ◽  
Structure Constant ◽  
Early History ◽  
Coupling Constants ◽  
Fine Structure Constant ◽  
Hyperbolic Function ◽  
History Of ◽  
And Mathematics

Research into ancient physical structures, some having been known as the seven wonders of the ancient world, inspired new developments in the early history of mathematics. At the other end of this spectrum of inquiry the research is concerned with the minimum of observations from physical data as exemplified by Eddington's Principle. Current discussions of the interplay between physics and mathematics revive some of this early history of mathematics and offer insight into the fine-structure constant. Arthur Eddington's work leads to a new calculation of the inverse fine-structure constant giving the same approximate value as ancient geometry combined with the golden ratio structure of the hydrogen atom. The hyperbolic function suggested by Alfred Landé leads to another result, involving the Laplace limit of Kepler's equation, with the same approximate value and related to the aforementioned results. The accuracy of these results are consistent with the standard reference. Relationships between the four fundamental coupling constants are also found.

scholarly journals Golden Ratio Geometry and the Fine-Structure Constant

2019 ◽  
Vol 16 (1) ◽  
pp. 362-368
Author(s):  
Michael A. Sherbon
Keyword(s):  
Fine Structure ◽  
Hydrogen Atom ◽  
Electromagnetic Interaction ◽  
Golden Ratio ◽  
Structure Constant ◽  
Fine Structure Constant ◽  
Weak Force ◽  
Strong Force ◽  
Harmonic Proportions ◽  
Fundamental Forces

The golden ratio is found to be related to the fine-structure constant, which determines the strength of the electromagnetic interaction. The golden ratio and classical harmonic proportions with quartic equations give an approximate value for the inverse fine-structure constant the same as that discovered previously in the geometry of the hydrogen atom. With the former golden ratio results, relationships are also shown between the four fundamental forces of nature: electromagnetism, the weak force, the strong force, and the force of gravitation.

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