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A cosmological model from loop quantum gravity on lattice
Loop Quantum Gravity (LQG) is a proposal for a QFT of General Relativity, but a proper proof of its classical limit is still missing. I will give a basic review of LQG as a SU(2)-gauge theory on lattice, and construct a family of quantum states on LQG Hilbert space that represent discrete spatial geometries. The quantum time evolution of these states is shown to correspond to discrete spacetime geometries in some simple examples, most notably cosmology. A simple model of "quantum cosmology" is therefore derived from LQG, and it is argued whether, in the classical and continuum limit, this model reduces to classical cosmology.