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I propose a quantum gravity model in which the fundamental degrees of freedomare information bits for both discrete space-time points and links connectingthem. The Hamiltonian is a very simple network model consisting of aferromagnetic Ising model for space-time vertices and an antiferromagneticIsing model for the links. As a result of the frustration between these twoterms, the ground state self-organizes as a new type of low-clustering graphwith finite Hausdorff dimension 4. The spectral dimension is lower than theHausdorff dimension: it coincides with the Hausdorff dimension 4 at a firstquantum phase transition corresponding to an IR fixed point while at a secondquantum phase transition describing small scales space-time dissolves intodisordered information bits. The large-scale dimension 4 of the universe isrelated to the upper critical dimension 4 of the Ising model. At finitetemperatures the universe graph emerges without big bang and withoutsingularities from a ferromagnetic phase transition in which space-time itselfforms out of a hot soup of information bits. When the temperature is loweredthe universe graph unfolds and expands by lowering its connectivity, amechanism I have called topological expansion. The model admits topologicalblack hole excitations corresponding to graphs containing holes with nospace-time inside and with "Schwarzschild-like" horizons with a lower spectraldimension.

Quantum Gravity as an Information Network: Self-Organization of a 4D Universe