Early Universe had just one Spatial Dimension?

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sciencedaily said:
Gravitational waves can't exist in one- or two-dimensional space. So Stojkovic and Mureika have reasoned that the Laser Interferometer Space Antenna (LISA), a planned international gravitational observatory, should not detect any gravitational waves emanating from the lower-dimensional epochs of the early universe.
Stojkovic, an assistant professor of physics, says the theory of evolving dimensions represents a radical shift from the way we think about the cosmos -- about how our universe came to be.
The core idea is that the dimensionality of space depends on the size of the space we're observing, with smaller spaces associated with fewer dimensions. That means that a fourth dimension will open up -- if it hasn't already -- as the universe continues to expand.

Soft Article:
http://www.sciencedaily.com/releases/2011/04/110420152059.htm

Journal Article:
http://prl.aps.org/abstract/PRL/v106/i10/e101101
 
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I saw this as well. I suppose it seems to make sense with the singularity issues... but I couldn't say what's really sensible and what isn't. I'd really like to hear someone's thoughts about this that actually understands what is going on.