2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100031From the hypothesis of a quadratic dependence of the binding energy of the quarks on the length scale and from the idea of a universal running coupling constant, we get the closure mass of the Universe and the pion mass. Besides this, we propose a free energy for the pions which stationarity condition leads to a closed form for the pion mass as a function of the Planck mass and of the Hubble constant.This paper has been withdrawnGeneral Physicstext