Exact expressions of the fine-structure constant

10 Pages Posted: 11 Feb 2022 Last revised: 12 Sep 2022

See all articles by Stergios Pellis

Stergios Pellis

Department of Physics of the University of Ioannina

Date Written: October 20, 2021

Abstract

The purpose of many sciences is to find the most accurate mathematical formula that can be found in the experimental value of fine-structure constant. Attempts to find a mathematical basis for this dimensionless constant have continued up to the present time. However,no numerological explanation has ever been accepted by the physics community. In this paper we will present the exact expressions for the fine-structure constant. A simple and absolutely accurate expression for the fine-structure constant in terms of the Archimedes constan. The equivalent expressions for the fine-structure constant from the madelung constant. Also a exact expression for the fine-structure constant in terms of the golden angle,the relativity factor and the fifth power of the golden mean. Also other expressions for the fine-structure constant. Finally we will present the continued fractions for the fine-structure constant.

Keywords: Fine-structure constant , Dimensionless physical constants , Golden ratio , Golden angle , Relativity factor , Fifth power of the golden mean , Archimedes constant , Madelung constant

Suggested Citation

Pellis, Stergios, Exact expressions of the fine-structure constant (October 20, 2021). Available at SSRN: https://ssrn.com/abstract=3975861 or http://dx.doi.org/10.2139/ssrn.3975861

Stergios Pellis (Contact Author)

Department of Physics of the University of Ioannina ( email )

Ioannina, 45110
Greece
11634 (Fax)

HOME PAGE: http://physiclessons.blogspot.com/

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