Curved geometry and Graphs
General Relativity and Quantum Cosmology
2012-05-23 v3
Abstract
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.
Cite
@article{arxiv.1110.3278,
title = {Curved geometry and Graphs},
author = {Francesco Caravelli},
journal= {arXiv preprint arXiv:1110.3278},
year = {2012}
}
Comments
are welcome. 4pp, 2 fig. Proceedings of Loops'11 Conference, Madrid