Cosmological and atomic constants

Abstract

In view of some recent contributions¹ it may be considered not altogether useless to point out a few more relations (or 'coincidences') between some fundamental magnitudes that occur in astrophysical theory and very large dimensionless numbers that can be constructed from atomic constants and the constant of universal gravitation G. If γ₁ and γ₂ represent the large numbers constructed from (e, c, m_H, G) and (h, c, m_H, G) respectively, then where h is Planck's constant (multiplied by 1/2π), c the velocity of light, e the electron charge, m_H the mass of the proton, and m the mass of the electron.