We propose a cosmological model in which the Big Bang was not the beginning of space and time; there was a previous phase leading up to it, with multiple cycles of contraction and expansion that repeat indefinitely; from big bang to big crunch. The observed accelerated expansion, which relates the stretching of Shrunk space for the new theory, is derived. As pressure of shrink space decreases, the stretching of shrunk space increases, that is although in general, decelerate in the pressure of shrink space leads to accelerate the expansion of space. (The pressure of shrink space approaching zero at the end of accelerated expansion, and all the Shrunk space would be expanded), after that a period of slow contraction will begin, thus bringing the universe back to contract to its initial state, ending in a Big Crunch. The universe will not continue to expand forever, no need however, for dark energy. The new definition of eternal space and its unique property enables us to describe a sequence of events from the Big Bang to the Big Crunch.