The Energy of the Universe, the Scaling-Dependent Coupling Constant $β$ and the Pion Mass

H. C. G. Caldas; P. R. Silva

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The Energy of the Universe, the Scaling-Dependent Coupling Constant $β$ and the Pion Mass

H. C. G. Caldas·P. R. Silva

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Abstract

From 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.

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H. C. G. Caldas, P. R. Silva. 2006-04-09. The Energy of the Universe, the Scaling-Dependent Coupling Constant $β$ and the Pion Mass. https://arxiv.org/abs/physics/0009080

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