On the relation between mass of a pion, fundamental physical constants and cosmological parameters
PH Division CERN - CH-1211, Geneva 23, Switzerland
Accepted: 22 January 2010
In this article we reconsider the old mysterious relation, advocated by Dirac and Weinberg, between the mass of the pion, the fundamental physical constants, and the Hubble parameter. By introducing the cosmological density parameters, we show how the corresponding equation may be written in a form that is invariant with respect to the expansion of the Universe and without invoking a varying gravitational “constant”, as was originally proposed by Dirac. It is suggested that, through this relation, Nature gives a hint that pions dominate the “content” of the quantum vacuum.
PACS: 95.30.Sf – Relativity and gravitation / 98.80.-k – Cosmology / 95.36.+x – Dark energy
© EPLA, 2010