selfAdjoint
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I believe that selfAdjoint for example has acknowledged this (though I can't say he's given up on LQG).
I believe we have gone round and round and come out where we started, but with some knowledge.
1. The quantization used by LQG is a valid quantization (Rehrens).
2. It does not agree with the method used in the rest of quantum mechanics (Distler, Urs).
3. The shadow states paper shows a way that LQG can be tied to low energy quantum physics.
4. Urs thinks this shadow states method is "arbitrary" and I (for what I'm worth) don't. I think it was a new initiative, where the authors were seeking a method, and they found one. Their method should be judged on its results, not on the metagame, or else I'm going to bring up the metagame attacks ("just philosophy", "sweeping infinities under the rug") that have been leveled at string physics and quantum field theory.
5. In the upshot, I don't think the LQG physicists have to modify their quantization in the high energy/small dimension range, but they have a long way to go to come up with a theory that is both mathematically consistent and "necessary" in the sense that each feature follows uniquely from prior features (except for alternate ways to the same goal.) Superstring theory does have this property.
And Urs still hasn't responded on the Meusberger & Rehrens paper.
I believe we have gone round and round and come out where we started, but with some knowledge.
1. The quantization used by LQG is a valid quantization (Rehrens).
2. It does not agree with the method used in the rest of quantum mechanics (Distler, Urs).
3. The shadow states paper shows a way that LQG can be tied to low energy quantum physics.
4. Urs thinks this shadow states method is "arbitrary" and I (for what I'm worth) don't. I think it was a new initiative, where the authors were seeking a method, and they found one. Their method should be judged on its results, not on the metagame, or else I'm going to bring up the metagame attacks ("just philosophy", "sweeping infinities under the rug") that have been leveled at string physics and quantum field theory.
5. In the upshot, I don't think the LQG physicists have to modify their quantization in the high energy/small dimension range, but they have a long way to go to come up with a theory that is both mathematically consistent and "necessary" in the sense that each feature follows uniquely from prior features (except for alternate ways to the same goal.) Superstring theory does have this property.
And Urs still hasn't responded on the Meusberger & Rehrens paper.