Fine-structure constant from Sommerfeld to Feynman

Abstract : The fine-structure constant, which determines the strength of the electromagnetic interaction, is briefly reviewed beginning with its introduction by Arnold Sommerfeld and also includes the interest of Wolfgang Pauli, Paul Dirac, Richard Feynman and others. Sommerfeld was very much a Pythagorean and sometimes compared to Johannes Kepler. The archetypal Pythagorean triangle has long been known as a hiding place for the golden ratio. More recently, the quartic polynomial has also been found as a hiding place for the golden ratio. The Kepler triangle, with its golden ratio proportions, is also a Pythagorean triangle. Combining classical harmonic proportions derived from Kepler's triangle with quartic equations determine an approximate value for the fine-structure constant that is the same as that found in our previous work with the golden ratio geometry of the hydrogen atom. These results make further progress toward an understanding of the golden ratio as the basis for the fine-structure constant.
Complete list of metadatas

Cited literature [37 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-02281150
Contributor : Michael A. Sherbon <>
Submitted on : Sunday, September 8, 2019 - 3:18:41 PM
Last modification on : Wednesday, September 11, 2019 - 1:15:01 AM

File

Fine-Structure Constant from S...
Files produced by the author(s)

Identifiers

Collections

Citation

Michael Sherbon. Fine-structure constant from Sommerfeld to Feynman. Journal of Advances in Physics, Khalsa Publications, 2019, 16 (1), pp.335-343. ⟨10.24297/jap.v16i1.8402⟩. ⟨hal-02281150⟩

Share

Metrics

Record views

15

Files downloads

26