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\section*{Abstract} %\section*{Abstract}  The idea of a “Background Field” of the universe is introduced. It is called “Space-Time Field” because it is possible to construct the Space-Time (S-T) and the particles in it. We will show that the mass is the source of the Space-Time Field, noting that the mass creation has a double consequence: gravity increase (curvature) and space in-crease (expansion). This allows to formulate a universe model with a variable metric by which some of its fundamental aspects are explained: the Hubble’s law is explained by creating the mass-space, the acceleration of galaxies is the effect of a past with open metric, the age of the universe is the time needed to reaching the flat metric phase and the dark mass is a consequence of the presence of a background massive-lattice. Finally, the origin of galaxies is connected to the formation of primordial black holes made of scalar bosons with Planck’s mass. The mass value of the particle responsible for the inflationary phase is calcu¬lated and the well known relation of Dirac on the “great numbers” in cosmology is explained.