On Synthesis of the Big Bang Model with Freundlich's Redshift and its Cosmological Consequences

Abstract

We derive exact theoretical value of the constant cosmic background radiation (CBR) temperature $T_0$ using the interconnections between the Gamow, Alpher and Herman (GAH) hot Big Bang cosmology model of the expanding Universe and the modified Freundlich redshift. As a result of this confluence an astonishing relationship between $T_0$ and the four fundamental physical constants $c$,$\hbar$,$k$,$G$ is found including also the Melvin's value of the Freundlich constant $A_s$.Then the resulting predicted the CBR temperature is $T_0=2.76626 K$. This prediction show excellent agreement with the data obtained from ground-based and balloon-borne observations and also with a mean of the perfect black-body spectrum CMB temperature $2.725 K$ measured COBE in 1992. Using a new cosmological model we determine the horizon scale, age and mass of the present observable Universe. The calculations based on discrete redshift equations for the electromagnetic, electroweak phases and Planck epoch of the Universe predicts a graviton and string masses, which are originated beyond on Planck time. The predicted graviton mass $m_Gr$ is about five orders of magnitude less than the present "the best possible upper bounds on the mass of the graviton", which may be "discovered" in the proposed LISA observations. We present quantitative new results for the different quantum-cosmological parameters. Finally, it is showed that the mystery largeness and smallness dimensionless combination of the Quantum Cosmological constant $\Lambda_0$ and Planck length $l_Pl$ may be derived as their ratio from the Trans-Planck redshift relation. Thus is found the meaning a famous largeness cosmological number $c^3/\hbarG\Lambda_0=2.8*10^{125}$ that is inverse of $\Lambda_0 l_Pl^2=3.6*10^{-126}$, and "which in 1930s was a regarded as a major problem by Eddington and Dirac".