The large-scale universe: The past, the present and the future

Abstract

Contrary to the common approach of the general relativity, the author uses his invariant integral of physical mesomechanics to model and study the universe at the large scale of about 100 MPc in the Euclidian space. The flatness of the universe proven by numerous probes of the WMAP and PLANCK satellite missions necessitates this approach. From the invariant integral of cosmology, the interaction force of two point masses in the cosmic-gravitational field is derived. This force is proven to be a sum of two terms, the one being the Newtonian gravity and the other the repulsion force caused by the cosmological constant. Both terms make up the right-hand part of the evolution equation of the dynamic universe. Qualitatively in agreement with the FLRW and ACDM models, and WMAP and PLANCK mission data, the exact solution of this equation has provided the history of the early decelerating universe and the asymptotic description of the Big Bang, the expansion at an almost constant rate in the middle age, and the current stage of the accelerated expansion of the universe. The age of the universe is found to be equal to 12.3 billion years. It is shown that neutron stars become stable Black Holes when their masses are greater than 6.7M_sun. Then, it is assumed that the universe not only expands but also revolves, and the evolution equations of the revolving and expanding universe are advanced, with the cosmological constant being defined in terms of the angular velocity of the universe. A singular solution of these evolution equations has described the history of the revolving and expanding universe, at least, up to the age of about ten billion years. Orbital velocities of stars in the Milky Way are calculated to be about 250 km/s independent of the distance of stars from the galaxy center. Using the equation of the fractal dimension of the universe as a power-law fractal, the thickness of a disk-shaped universe is found. The graviton of minimum frequency is hypothesized to be the smallest elementary particle and the building block of everything.