Combinatorial Quantum Gravity: Geometry from Random Bits
  I propose a quantum gravity model in which geometric space emerges from random bits in a quantum phase transition driven by the combinatorial Ollivier-Ricci curvature and corresponding to the condensation of short cycles in random graphs. This quantum critical point defines quantum gravity non-perturbatively. In the ordered geometric phase at large distances the action reduces to the standard Einstein-Hilbert term. 
Carlo A. Trugenberger
hep-th cond-mat.stat-mech gr-qc