Astrophysical numbers and rotation of the universe

Mathematics – Logic

Scientific paper

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Angular Momentum, Astronomical Models, Big Bang Cosmology, Rotation, Universe, Constants, Galactic Clusters, Mass, Protons

Scientific paper

The cosmological relations of Dirac (1938) and Stewart (1931) are derived in simple form by extrapolating a previously proposed expression for the angular momentum of galaxies and clusters of galaxies to the universe as a whole. A relation for the mass of the universe is obtained which is similar to Dirac's relation for the total number of nucleons in the universe, and the radius of the universe is expressed in terms of the Compton wavelength of the proton. An expression is also derived which gives the possible angular momentum of the universe in terms of Planck's constant, the constant of gravitation, the speed of light, and the proton rest mass. It is concluded that the expressions presented may be considered as evidence that the universe was formed as a result of the breakup of a superheavy hadron endowed with spin.

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