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This is partially motivated by the thread on Ashtekar's new review and by old results on emergent spacetime in condensed matter models.

Has any progress been made on the problem of emergent space (not emergent spacetime) in LQG or allied approaches? By this I mean problems that take as given a non-emergent time and are able to demonstrate two phases - one without a well defined spatial metric (non-geometric) and one with a spatial metric (geometric)?

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# Quantum theory of fluctuating space?

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