Except the extreme case of Black Holes, all other objects in the Universe (say, Galaxies) are very far from the Bekenstein bound (BB). Any object saturating the BB tends to be BH. But we can try to saturate the BB increasing the radius of a sphere. In flat static Universe, sooner or later we saturate the BB and we get a BH. This is one of the reasons why such Universe is not possible in GR. As we know, big volumes in our Universe don't become BHs because of the expansion. My questions is, what's about the BB on the cosmological scales? If we take a sphere bigger than Cosmological Horizon, then BB is probably not applicable to it (because oppisite regions are not causally connected)? What's about the simpler case of the Universe without Dark Energy - Universe without Cosmological Horizons, where sooner or later all regions mutually cross their 'future' light cones?