Originally posted by jcsd
Marcus, I've just started to read up on canonical quantum gravity, how do singularites behave in the LQG?
JCSD, the big-bang singularity goes away in LQG. Or so it would seem--this has been the finding in a number of papers by various people. It is recent work and you have to judge for yourself.
the first paper was by Martin Bojowald (2001)
http:arxiv.org/gr-qc/0102069
"Absence of Singularity in Loop Quantum Cosmology"
Bojowald is not as senior or well-known as major LQG figures like Astekar and Lewandowski. However they weighed in later and
confirmed the main findings
"Mathematical Structure of Loop Quantum Cosmology"
by Ashtekar, Bojowald, Lewandowski (2003)
http:arxiv.org/gr-qc/0304074
there have been a bunch of papers in 2002-2003 by various combinations of people: Bojowald, Morales-Tecotl, Hinterleitner, Vandersloot, Ashtekar
The most readable is by Ashtekar (2002)
"Quantum Geometry in Action: Big Bang and Black Holes"
http:arxiv.org/math-ph/0202008
What the researchers have been doing is trying various assumptions that one makes in cosmology---isotropic, homogeneous, isotropic and homogenous---and doing the
LQG analysis of the universe around time zero in various ways
and each time they do not get a singularity.
So the absence of the singularity is "robust" as Ashtekar says, in the sense that it seems not to depend on how you do the analysis or on some particular set of assumptions.
BTW people call LQG various things including "Quantum General Relativity" and "Canonical Quantum Gravity". The latter is the favorite of Thomas Thiemann. (I find Thiemann's style hard to read
compared with some others, Rovelli say). You say you are reading up on LQG. What author(s)? I hope you've found some writers to your liking