Geometrogenesis under Quantum Graphity: problems with the ripening Universe

Understand

Quantum Graphity (QG) is a model of emergent geometry in which space is represented by a dynamical graph.

• The graph evolves under the action of a Hamiltonian from a high-energy pre-geometric state to a low-energy state in which geometry emerges as a coarse-grained effective property of space.
• Here we show the results of numerical modelling of the evolution of the QG Hamiltonian, a process we term "ripening" by analogy with crystallographic growth.
• We find that the model as originally presented favours a graph composed of small disjoint subgraphs.