This is a good accessible introduction to one of the foremost quantum gravity approaches. http://www.scribd.com/doc/3366486/SelfOrganizing-Quantum-Universe-SCIAM-June-08 It is a feature article in the July 2008 print issue of SciAm----pages 42-49. But SciAm put it out online already in June, so in this version it is dated June. This "scribd" version is set up so you cannot print it. You can only read it on the screen. But they make it easy. Click on "full screen" button, and on the enlarger "+" button to make it easy to read. The graphics help. The writing is for general audience and communicates effectively. This is the most efficient brief explanation of Renate Loll's causal dynamical triangulations approach that I have seen so far.