LQC is the dominant approach to quantum cosmology these days, if you gauge by recent peer-review publication and citations in the professional literature. So anybody who wants to know about quantum cosmology could be well advised to get an introduction to LQC. Parampreet Singh is one of the experts and he is currently at Perimeter Institute, where they have the PIRSA online video seminar resource. Singh just gave a talk on LQC: http://pirsa.org/08060170/ it is in a nice windows format with split screen, so you see him talking and also see the current slide being projected. ======================== LQC is the approach where after General Relativity is quantized, at the Friedmann equation level, it turns out that gravity repels at high density and you get a bounce. The big bang is replaced by a bounce, from a prior contraction. A lot of people have been joining the LQC research effort recently, so there are a lot of new authors and papers. Parampreet Singh is one of the leaders, along with Ashtekar, Bojowald and a few others. If you want to get some perspective on it. Look at the Spires list, with keyword quantum cosmology, date > 2005, ordered by citation count. Most of the top 10, or even top 20, papers are LQC. So it is something you need to know about if you follow developments in cosmology. And hopefully this video talk by Singh can help fill the need for some kind of accessible introduction to the subject. ================== There is no perfect introduction as yet. The talk by Singh is only 20 minutes long! He has to talk very fast, and even with amplification one can't always understand. Another good resource is the July 2008 Scientific American article by Renate Loll team http://www.scribd.com/doc/3366486/SelfOrganizing-Quantum-Universe-SCIAM-June-08 [Broken] "Self-organizing Quantum Universe" pages 42-49. This makes the triangulations approach to quantum gravity more intuitive, and has excellent graphics illustrating some of the non-trivial points.