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In this article we reconsider the old mysterious relation, advocated by Diracand 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 isinvariant with respect to the expansion of the Universe and without invoking avarying gravitational "constant", as was originaly proposed by Dirac. It issuggest that, through this relation, Nature gives a hint that virtual pionsdominante the "content" of the quantum vacuum.

On the relation between mass of pion, fundamental physical constants and cosmological parameters