- #36
- 24,775
- 792
in a post today on Woit's blog, Smolin gave some indications what to expect at Loops 05 conference:
https://www.physicsforums.com/showthread.php?p=734165#post734165
"I agree that background independent quantum theories of gravity, including LQG, must address the problem of unification. We have some new ideas and results about this that I’m pretty excited about which will be announced at the Loops 05 conference."
[I guess one of the papers he means could likely be Freidel "Perturbative expansion for the 3D Yang-Mills theory coupled to quantum gravity in the spinfoam formalism"]
"We must show that the ground state is semiclassical, by solving the dynamics. This is a hard problem, analogous to showing that the ground state of water is a solid. But as this is the focus of attention there are beginning to be significant, non-trivial results on how classical spacetime can emerge from a background independent quantum theory. The best so far are not in LQG, they are the Ambjorn-Jurkiewicz-Loll results on CDT, http://arxiv.org/hep-th/0404156 . More is coming, I know of 3 papers in preparation by different authors that contain interesting new approaches or results on this problem. So stay tuned and (to John) don’t lose heart."
So he is talking on one hand about UNIFICATION (combining matter into the picture with gravity and spacetime geometry, defining broader goals for nonperturbative QG) and on the other hand he is talking about verifying that for some of the QG approaches the largescale, or classical, or semiclassical LIMIT is right. And he is talking about somebody besides Renate Loll, who has made noteworthy progress on that recently. He says THREE PAPERS in preparation by people different from Loll. So it gives an idea of what to be looking out for.
===================================
Another issue Smolin raised in that post was modified Poincaré (DSR), and he had something to say about string claims:
-------Smolin post on Woit blog-----
Lee Smolin; September 3rd, 2005 at 10:03 am
...
As for string theory being the unique UV completion, the claimed uniqueness requires imposing two physically unjustified assumptions,
1) that it makes sense to an arbitrarily high energy to separate the spacetime geometry into a fixed background and gravitons of arbitrarily high energy and
2) those graviton states transform under the ordinary Poincare transformations, no matter how high the energy.
The first appears false in any consistent non-perturbative unification of gravity and quantum theory including CDT and LQG.
The second is much less compelling since we learned that Poincaré invariance may be deformed, as in deformed or doubly special relativity theories. These allow the relativity of inertial frames to be consistent with energy and/or momentum cutoffs. At least in 2+1 gravity coupled to matter, we know this is how the theory achieves consistency. And there are indications (far from proofs) that the same will be true in 3+1 when we get the low energy limit sorted out.
Of course, the best news is that AUGER and GLAST will in only a few years tell us the fate of Lorentz invariance. The need to firm up our predictcions before the experiments report is what keeps us working hard on these problems.
-------end quote------
I have bolded a reference to some interesting recent work that includes these Freidel papers.
http://arxiv.org/hep-th/0502106
http://arxiv.org/gr-qc/0506067
https://www.physicsforums.com/showthread.php?p=734165#post734165
"I agree that background independent quantum theories of gravity, including LQG, must address the problem of unification. We have some new ideas and results about this that I’m pretty excited about which will be announced at the Loops 05 conference."
[I guess one of the papers he means could likely be Freidel "Perturbative expansion for the 3D Yang-Mills theory coupled to quantum gravity in the spinfoam formalism"]
"We must show that the ground state is semiclassical, by solving the dynamics. This is a hard problem, analogous to showing that the ground state of water is a solid. But as this is the focus of attention there are beginning to be significant, non-trivial results on how classical spacetime can emerge from a background independent quantum theory. The best so far are not in LQG, they are the Ambjorn-Jurkiewicz-Loll results on CDT, http://arxiv.org/hep-th/0404156 . More is coming, I know of 3 papers in preparation by different authors that contain interesting new approaches or results on this problem. So stay tuned and (to John) don’t lose heart."
So he is talking on one hand about UNIFICATION (combining matter into the picture with gravity and spacetime geometry, defining broader goals for nonperturbative QG) and on the other hand he is talking about verifying that for some of the QG approaches the largescale, or classical, or semiclassical LIMIT is right. And he is talking about somebody besides Renate Loll, who has made noteworthy progress on that recently. He says THREE PAPERS in preparation by people different from Loll. So it gives an idea of what to be looking out for.
===================================
Another issue Smolin raised in that post was modified Poincaré (DSR), and he had something to say about string claims:
-------Smolin post on Woit blog-----
Lee Smolin; September 3rd, 2005 at 10:03 am
...
As for string theory being the unique UV completion, the claimed uniqueness requires imposing two physically unjustified assumptions,
1) that it makes sense to an arbitrarily high energy to separate the spacetime geometry into a fixed background and gravitons of arbitrarily high energy and
2) those graviton states transform under the ordinary Poincare transformations, no matter how high the energy.
The first appears false in any consistent non-perturbative unification of gravity and quantum theory including CDT and LQG.
The second is much less compelling since we learned that Poincaré invariance may be deformed, as in deformed or doubly special relativity theories. These allow the relativity of inertial frames to be consistent with energy and/or momentum cutoffs. At least in 2+1 gravity coupled to matter, we know this is how the theory achieves consistency. And there are indications (far from proofs) that the same will be true in 3+1 when we get the low energy limit sorted out.
Of course, the best news is that AUGER and GLAST will in only a few years tell us the fate of Lorentz invariance. The need to firm up our predictcions before the experiments report is what keeps us working hard on these problems.
-------end quote------
I have bolded a reference to some interesting recent work that includes these Freidel papers.
http://arxiv.org/hep-th/0502106
http://arxiv.org/gr-qc/0506067
Last edited by a moderator: