The Fine Structure Constant - the Curious de Vries formulae Vries

eJournal Atomic & Molecular Physics, 2022

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 constant. 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.

The IUPAC Compendium of Chemical Terminology

Citation: 'fine structure constant' in the IUPAC Compendium of Chemical Terminology, 3rd ed.; International Union of Pure and Applied Chemistry; 2006. Online version 3.0.1, 2019. 10.1351/goldbook.F02389 License: The IUPAC Gold Book is licensed under Creative Commons Attribution-ShareAlike CC BY-SA 4.0 International for individual terms. Requests for commercial usage of the compendium should be directed to IUPAC.

"The Unified Model"* supports the concept of an Extended Aetherial Universe* where the universe we inhabit is one of many that represent a densification of axions* propagating through open space at superluminal velocities. Axions, like photons do not slow down and beyond this universe in open space their density would be much thinner than in the universe we live in. Upon entering the universe, they encounter magnetic resistance from the cosmic microwave background (CMB) where they start to curl, and their collective motion takes on a more fluid like behavior because axions exhibit axiomagnetism* and attract each other as they stream through space in a connected manner. However, because they are propagating at light speeds they do not clump. They form one dimensional strings of energy called longitudinal waves. The strings may then form one dimensional loops which morph into vortexes which then form three dimensional toroids which then generate particle form. If axions are not forming particles from harmonic standing waves they are then forming transverse waves called photons. Our universe is filled which such fields of axionic energy and the different forms created by them called matter. This vibrating form of matter whether it is in a wave form or a particle form can be mathematically represented by the fine structure constant.

Journal of High Energy Physics, Gravitation and Cosmology

The nature and the origin of the fine structure are described. Based on the vortex model and hydrodynamics, a comprehensible interpretation of the fine structure constant is developed. The vacuum considered to have superfluid characteristics and elementary particles such as the electron and Hydrogen molecule are irrotational vortices of this superfluid. In such a vortex, the angular rotation ω is maintained, and the larger the radius, the slower the rotational speed. The fine structure value is derived from the ratio of the rotational speed of the boundaries of the vortex to the speed of the vortex eye in its center. Since the angular rotation is constant, the same value was derived from the ratio between the radius of the constant vortex core and the radius of the hall vortex. Therefore, the constancy of alpha is an expression of the constancy relation in the vortex structure.

2017

The Fine Structure Constant, regarded as a magic number, was introduced in 1916. Now, after 100 years, the mystery of it is revealed: it is a constant related to spherical-packing. The approximate value of it can be given as a ≈ (42/1838)/(3.14), where 1838 represents the number of entities packed and 42, the number of entities in the diameter, and 3.14, the mathematical constant pi.

Journal of Advances in Physics, 2018

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.

viXra, 2017

The paper will make new claims regarding the fine structure constant. The specific value of the electromagnetic coupling constant, that is the fine structure constant, will be explained as a consequence of mass energy equivalence. Special Relativity and Quantum Electrodynamics will be used to attain the mass energy equivalence equation and after which a new, quantized equation of mass energy equivalence will be postulated and tested. A new way will be presented to determine the mass of neutrons by using the strong nuclear coupling constant and protons by using the fine structure constant.

With an exponential approach for the mass scales of the observable universe including the gravitational constant as a time dependent parameter, the Planck mass can be generalized yielding a mass model where elementary particle masses are related and accurately calculated [1]. As a premise the observable universe evolves as a black hole, i.e. from the initial singularity it fulfiled the conditions of the Schwarzschild mass radius relation. With these assumptions and a logarithmic potential for elementary particle constituents the fine structure constant α is derived as α=0,007297359 (0,007297353, Δα/α=8∙10^-7), the measured value and the relative deviation of both are in brackets. The result is independent of the fundamental physical constants defining α.

Acta Physica Polonica B, 2008

The effects of the inhomogeneity of the mass distribution in the early universe and of the cosmological constant on the variation of the fine structure constant have been investigated. It has been suggested that the variation of the fine structure constant may be attributed to the intrinsic scale dependence of the fundamental constants of nature. The effect of the vacuum polarisation on the variation of fine structure constant has also been investigated and some interesting observations are made. PACS numbers: 98.80.Cq, 96.80.Bp, 98.65.Dx † aparajita_ bh@yahoo.co.in

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.