Resolution of Cosmological Singularity and a Plausible Mechanism of the Big Bang

Abstract. The initial cosmological singularity in the framework of the general theory of relativity is resolved by introducing the effect of the uncertainty principle of quantum theory without violating conventional laws of physics. A plausible account of the mechanism of the big bang, analogous to that of a nuclear explosion, is given and the currently accepted Planck temperature of ∼ 10 32 K at the beginning of the big bang is predicted. Subj-class: cosmology: theory-pre-big bang; mechanism of the big bang. I. Introduction. The standard hot Big Bang model within the framework of the general theory of relativity has been spectacularly successful in describing the evolution of the universe from ten thousandth of a second after the big bang to the present time. Nevertheless, the occurrence of the initial singularity, a state of infinite density and temperature, preceding the big bang as shown by the theorems [1,2] of Penrose and of Hawking and Penrose, raises some of the deepest questions