The HHH universe is very interesting.
In the Los Alamos National Laboratory electronic archive:
http://lanl.arxiv.org/abs/hep-th/0602091
You can find an intriguing article by Hawking and Hertog, using the Hartle-Hawking wave function of the Universe, they predict inflation given that we live in three space and one time dimension.
Also New Scientist has an article on this idea.
http://www.newscientistspace.com/article/mg19025481.300.html
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