Highlights Identification of the signatures of the fractal structure on real data. New SIR-like model that includes the fractal structure in the spread of the virus. Analysis performed on data observed in several regions around the world. Time evolution analysis using the newly developed model.

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An analytical solution of the Dirac equation with a Cornell potential, with identical scalar and vectorial parts, is presented. The solution is obtained by using the linear potential solution, related to Airy functions, multiplied by another function to be determined. The energy levels are obtained and we notice that they obey a band structure.

This work aims at using a semiclassical approach to explain how the universe was created out of nothing, i.e., with no input of initial energy nor mass. The inflationary phase with exponential expansion is accounted for, automatically, by our equation of state for the very early universe.

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