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**What is Rovelli's "new" LQG formulation trying to do?**

By way of illustration: contemporary LQG is not some sort of methodical quantization of Ashtekar General Relativity (the connection version of classical GR). The field did indeed start out in the 1990s based on Ashtekar GR. But convergence of various attempts crystalized in ade novoreformulation different from, but combining aspects of each. Something like a leap occurred, as is described in the survey/status report http://arxiv.org/abs/1004.1780.

" Heck the new version of LQG is not even about the Einstein Hilbert action, so again I have no idea what they're really trying to do.

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I've wondered about this to