Researchers at the University of Florence have deduced that dark energy appears to be getting stronger over time. The hyper-dimensional universe, as I am proposing, follows that model—a period of rapid deceleration and expanding dispersion of mass/energy in the earliest stages of the cyclical universe, followed by a long period of acceleration and continued expansion of mass/energy (our present state), followed by a period of continued acceleration and contracting dispersion of mass/energy, prior to repeating the cycle.
The hyper-dimensional universe and the hyper-dimensional space/time continuum does not require “inflation” of space-time itself—rather it only requires a cyclical dispersion of mass/energy, as described above. The entire process is described in my book “The Enlightening”.
Here is the link to an article regarding the new research.