By AWT the universe is formed by random field of Aether density fluctuations, the geometry which appears somewhat transformed for us, though. Because the space-time is perceived via energy spreading and the energy spread via gradients preferably, the volume of transition areas (density gradients) appears greatly enhanced from human perspective and they're forming large volumes of vacuum. Whereas the volume or density fluctuations appears heavily shrinked into massive bodies and rounded into approximately spherical shapes of black holes, stars and planets and their random character manifest itself in their mass only.
The 3D space appears greatly enhanced in such model because of geometry rules for energy spreading. At the case of multidimensional spheres just the 3D hyperspheres can form the most compact arrangement, i.e. the arrangement with highest surface/volume ratio. This leads to the highest complexity of just 3D space-time and richness of Platonic solids.
http://superstruny.aspweb.cz/images/...er/perlin1.jpg http://superstruny.aspweb.cz/images/...er_density.gif
Together with Aether density the complexity of density perturbation is fluctuating and it can reach the levels, at which the intelligent creatures are occasionally formed, this idea is usually called the
Boltzmann brain, although it was addressed by his assistant by Boltzmann himself. Note, that the concept of human brain and universe as a thermal fluctuation relies on the concept of inertial environment again - so it cannot serve for replacement of Aether theory, being rather direct consequence of it.
We should remember, the randomness of Universe is the dual side of the complexity of its arrangement - i.e. the Universe will appear always as complex and intelligently constructed for us, as random, huge and chaotic it really is.