skydivephil said:
... wasnt the big bounce Martin Bojowald's idea?
His paper on it is dated 2001.
At the time he was a postdoc in Ashtekar's group at Penn State. There were no comparable papers by Ashtekar or anybody else for several years.
Bojowald essentially started the field of Loop Quantum Cosmology.
LQC involved radically simplifying at least at first (uniformity assumptions, homogeneous-isotropic) and using an approach that was LQG-like, but not the full LQG theory.
His PhD thesis advisor was Hans Kastrup at University of Aachen. Kastrup's thesis advisor was Werner Heisenberg. It is possible that Kastrup had some input to the beginnings of LQC around 2000.
By 2001 Bojowald was on his own and at Penn State. He had written some LQC papers but not yet the big bounce. The first LQC big bounce paper was:
http://arxiv.org/abs/gr-qc/0102069
Absence of Singularity in Loop Quantum Cosmology
Martin Bojowald
4 pages, 1 figure
(Submitted on 14 Feb 2001)
"It is shown that the cosmological singularity in isotropic minisuperspaces is naturally removed by quantum geometry. Already at the kinematical level, this is indicated by the fact that the inverse scale factor is represented by a bounded operator even though the classical quantity diverges at the initial singularity. The full demonstation comes from an analysis of quantum dynamics. Because of quantum geometry, the quantum evolution occurs in discrete time steps and does not break down when the volume becomes zero. Instead, space-time can be extended to a branch preceding the classical singularity independently of the matter coupled to the model. For large volume the correct semiclassical behavior is obtained."
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Working together with Bojowald, two senior peoople Ashtekar and Lewandowski made a highly significant contribution to LQC in 2003----the mathematics was improved.
http://arxiv.org/abs/gr-qc/0304074
Mathematical structure of loop quantum cosmology
Abhay Ashtekar, Martin Bojowald, Jerzy Lewandowski
(Submitted on 21 Apr 2003 (v1), last revised 24 Dec 2003 (this version, v4))
Applications of Riemannian quantum geometry to cosmology have had notable successes. In particular, the fundamental discreteness underlying quantum geometry has led to a natural resolution of the big bang singularity. However, the precise mathematical structure underlying loop quantum cosmology...
Then in 2006-2007 the mathematics was again refurbished---the socalled "improved LQC dynamics"---by Ashtekar, Corichi, Singh and others. Much numerical work (computer simulations of various universes collapsing and bouncing) and solvable equation models were developed, to which the simulation results could be compared.
Now as of 2009-2010 the restrictive uniformity assumptions are being discarded, a wider variety of universes is being handled, and the full LQG (spinfoam) theory is being applied.
The first textbook for the field of Loop cosmology will appear in a few months, by Bojowald. It is called Canonical Gravity and Applications.