Creation Of The Universe From A Non Classical Space-time State

Abstract

Creation of the universe from the initial hot state is studied topologically. It is found that the universe emerges from the initial compact state with a finite size to a symmetric state and later evolves inflationary to its asymmetric global minimum. The tunneling probability from this compact state to a classical state rapidly approaches unity at very high temperatures in the radiation dominated phase. This indicates that the initial hot state is necessary for the spontaneous creation of our universe. The big bang singularity prevalent in the standard cosmological model is non-existent in this model