Approximation of the electron–proton mass ratio as a series in powers of π

Eddington in 1923, first identified four dimensionless numbers, derived from combinations of the basic physical constants, which are known as the “Eddington constants”. In formulating these dimensionless numbers, Eddington, a leading physicist of his time, claimed that they are characteristic of the...

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Detalles Bibliográficos
Autores principales: Bucknum, Michael J., Castro, Eduardo Alberto
Formato: Articulo
Lenguaje:Inglés
Publicado: 2018
Materias:
Química
Electron–proton mass ratio β, m/M
Eddington
Infinite series, e, π
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/132518
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-132518
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Química
Electron–proton mass ratio β, m/M
Eddington
Infinite series, e, π
spellingShingle Química
Electron–proton mass ratio β, m/M
Eddington
Infinite series, e, π
Bucknum, Michael J.
Castro, Eduardo Alberto
Approximation of the electron–proton mass ratio as a series in powers of π
topic_facet Química
Electron–proton mass ratio β, m/M
Eddington
Infinite series, e, π
description Eddington in 1923, first identified four dimensionless numbers, derived from combinations of the basic physical constants, which are known as the “Eddington constants”. In formulating these dimensionless numbers, Eddington, a leading physicist of his time, claimed that they are characteristic of the structure and dynamics of the Universe at large, on the microscopical scale and at the macroscopical scale. Recently, there has been suggested a possible way of accounting for the magnitude of one of these four dimensionless constants, indicated as the “fine structure constant”, α, that first emerged from studies of the atomic line spectrum of H. A simple power series in the product e⋅π has been proposed, that fits the measured value of the fine structure constant to better than 9999 parts in 10,000. Following along these lines, the authors here propose a simple power series expansion in π that agrees with the currently accepted measurement of the value of the electron–proton mass ratio (m/M), or β, to better than 999 parts in 1000.
format Articulo
Articulo
author Bucknum, Michael J.
Castro, Eduardo Alberto
author_facet Bucknum, Michael J.
Castro, Eduardo Alberto
author_sort Bucknum, Michael J.
title Approximation of the electron–proton mass ratio as a series in powers of π
title_short Approximation of the electron–proton mass ratio as a series in powers of π
title_full Approximation of the electron–proton mass ratio as a series in powers of π
title_fullStr Approximation of the electron–proton mass ratio as a series in powers of π
title_full_unstemmed Approximation of the electron–proton mass ratio as a series in powers of π
title_sort approximation of the electron–proton mass ratio as a series in powers of π
publishDate 2018
url http://sedici.unlp.edu.ar/handle/10915/132518
work_keys_str_mv AT bucknummichaelj approximationoftheelectronprotonmassratioasaseriesinpowersofp
AT castroeduardoalberto approximationoftheelectronprotonmassratioasaseriesinpowersofp
bdutipo_str Repositorios
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