Quantization of Gravitational System and its Cosmological Consequences

Abstract

We have found that the hierarchial problems appearing in cosmology is a manifestation of the quantum nature of the universe. The universe is still described by the same formulae that once hold at Planck's time. The universe is found to be governed by the Machian equation, $G M=Rc^2$, where $M$ and $R$ are mass and radius of the universe. A Planck's constant for different cosmic scales is provided. The status of the universe at different stages is shown to be described in terms of the fundamental constants (eg. \textcolor{blue}{$c, \hbar, G, \Lambda, H$}) only. The concept of maximal (minimal) acceleration, power, temperature, etc., is introduced and justified. The electromagnetic interactions are shown to be active at a cosmic level. Their contribution would exclude the inclusion of dark energy in cosmology.