On the Magnetic Field, and Entropy Increase, in a Machian Universe

By means of the experimental result on the present equipartition between background microwave radiation energy and that of the interstellar magnetic field, and by advancing a Machian relation for the magnetic field, which, differently than in other authors' papers, is valid for the entire spanlife of the Universe, implying that the magnetic field depends on the inverse radius of the Universe, we obtain a general formula such that B depends on the inverse of R . Our estimate for Planck's magnetic field is (1/1000) times the Sabbata and Sivaram's one. It is shown that the energy densities involved in the above problem are dependent on the inverse square of R . For radiation, this implies, as we show, that the total entropy of the Universe is increasing with expansion. In particular we show that R depends on the inverse square of T, where T is the absolute temperature, and the entropy is proportional to the 3/2 power of R .