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marcus

Science Advisor

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Some new research has emerged as a potential challenge to the main Loop version of quantum geometry/gravity. We may disagree as to which new work presents the most interesting challenge, I want to know what you think.

I personally think that the Freidel Geiller Ziprick (FGZ) paper that just came out will have a strong impact on LQG. It studies the

FGZ is 1110.4833: "Continuous formulation of the LQG phase space". If in fact the current Loop version can be built on this phase space foundation, it will strengthen things all around.

But I'm still trying to ascertain this.

I see the Shape Dynamics (SD) phase space as a clear challenge. If you disagree please explain.

The main SD paper I'm thinking of is Gomes Koslowski 1110.3837. This is a totally different classical phase space for quantum geometry/gravity. LQG would need drastic modification to work on it. I think.

I have to go, back soon.

I personally think that the Freidel Geiller Ziprick (FGZ) paper that just came out will have a strong impact on LQG. It studies the

**classical phase space**that LQG is presumably built on and proves a lot of results with apparent rigor. I'm struggling to understand the paper. Anybody who thinks they can summarize or interpret please do! I cannot tell as yet if the FGZ picture of LQG phase space is compatible with the current version as presented for instance in 1102.3660.FGZ is 1110.4833: "Continuous formulation of the LQG phase space". If in fact the current Loop version can be built on this phase space foundation, it will strengthen things all around.

But I'm still trying to ascertain this.

I see the Shape Dynamics (SD) phase space as a clear challenge. If you disagree please explain.

The main SD paper I'm thinking of is Gomes Koslowski 1110.3837. This is a totally different classical phase space for quantum geometry/gravity. LQG would need drastic modification to work on it. I think.

I have to go, back soon.

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