Originally posted by Eh
Interesting, Marcus. What exactly does LQG propose happens prior to the big bang, given that there now seems to be minimum size of the universe? If it cannot be in a static state, one would think a beginning is implied.
On page 16 of this paper there's a picture of a wavepacket evolving from a prior contracting phase, through the erstwhile classical singularity, and on into the expanding phase, post time zero. It's just one of a bunch of papers but it might interest you.
http://arxiv.org/gr-qc/0303073
Another perspective: a recent communcation from Martin Bojowald referred to the transition around time zero as the "bounce".
Current research shows that the disappearance of the classical time zero singularity is robust----that is, it occurs in a wide variety of LQG models constructed and described by different people.
what the conditions look like immediately before and after time zero depend on the assumptions of the model, how matter is included etc.
various papers have dealt with cases such as
isotropic case
homogeneous case
case with a matter field
so there is no single monolithic message about what prior conditions are like. I cannot speak for what "LQG proposes",
but only point out, as Ashtekar has, the robust character of
this one feature
when General Relativity (which has a singularity at time zero) is quantized, the singularity goes away
both the scale factor a(t) and the curvature become operators----selfadjoint, discrete real spectrum observables----in the quantum theory.
In whatever treatment, the curvature turns out to be a bounded operator! This is where the original 1916 GR version blew up, it had infinite curvature and stopped computing at time zero.
The best summary of this for a general audience paper is on page 8 by Ashtekar
http://arxiv.org/math-ph/0202008
matter is included in the Hamiltonian as you see on page 9
and there is a simple diagram
however a more up-to-date technical summary by Ashtekar, Lewandowski, and Bojowald came out this year and supersedes it in details
http://arxiv.org/gr-qc/0304074