Combinatorial Quantum Gravity: Geometry from Random Bits

Abstract

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.

Revised version to appear in JHEP

References in corpus (2)

• Nonperturbative Quantum Gravity
• Clustering implies geometry in networks

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