Closed pulsating universe with inner dimensionality

The closed universe begins with a point singularity at the Big Bang and returns to a point singularity at the Big Crunch. These singularities present serious mathematical difficulties in extrapolating to times before the initial and after the final events. Such situations violate Einstein's singularity-free field theory. A possible solution to the crisis posed by gravitational collapse and the singularity problem is to regard Einstein's field equations for the problem as analogous to a dynamical system that requires stabilization. Attention is presently given to a dynamically stabilized model which views the universe as pulsating, with a collapse that rebounds at some minimum value of the expansion parameter. 10 references