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Physics Monkey

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I would like to chat about the physics of loop quantum cosmology. Let me list a few broad topics I'm interested in understanding better:

1. What simplifications/approximations make loop quantum cosmology a solvable simplification of full loop quantum gravity?

2. How is the Hamiltonian constraint dealt with and how does time emerge?

3. Why is the semi-classical limit easier here (as I understand it, the general semi-classical limit is still an open question, but please correct me if I'm wrong)?

4. What is the physics intuition behind the various cosmological results of the theory?

Of course, I appreciate excellent pedagogical or review references if you know them, but I would primarily prefer to discuss the actual physics if anyone is interested/knowledgeable.

As a start, I want to comprehend the basic setup. My understanding is that loop quantum cosmology makes some symmetry assumptions that enable a reduction of the degrees of the freedom. If so, can we state what these are in a simple way?