OK...I´m going to propose a very easy New Dimension of the Universe (fifth?) :A new Dimension that I name "Dimension M" referring to M of the Matryoshka Russian Dolls.
The different Scales of the Universe (expressed in powers of 10 of meters) could be consider another dimension?? Dimension that could be added to the already know 4 (three Space-dimensional XYZ and Time).
This M-Dimension refers to different scales of the universe in which our universe (known so far) cover scales from 10 exp -35 (length or Planck scale) to 10 exp +27 meters (which is longer than is considered is Our Universe).
This new M-Dimension of the Global Universe give us a compound or divided into different zones (bands, levels, spectra, bands, ...) that form the different scales of the universe. And in each of these scales would apply its own laws of physics. This would link with Tegmark levels.
I think that this M-Dimension satisfies the requiriments we talk before, and give the possibility of having infinites new Universes.