Curved geometry and Graphs

Details Curved geometry and Graphs Curved geometry and Graphs

2011-10-14

arxiv.org/abs/1110.3278v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

are welcome. 4pp, 2 fig. Proceedings of Loops'11 Conference, Madrid

Scientific paper

Quantum Graphity is an approach to quantum gravity based on a background independent formulation of condensed matter systems on graphs. We summarize recent results obtained on the notion of emergent geometry from the point of view of a particle hopping on the graph. We discuss the role of connectivity in emergent Lorentzian perturbations in a curved background and the Bose--Hubbard (BH) model defined on graphs with particular symmetries.

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