Constructing an interval of Minkowski space from a causal set
General Relativity and Quantum Cosmology
2009-11-11 v1
Abstract
A criticism sometimes made of the causal set quantum gravity program is that there is no practical scheme for identifying manifoldlike causal sets and finding embeddings of them into manifolds. A computational method for constructing an approximate embedding of a small manifoldlike causal set into Minkowski space (or any spacetime that is approximately flat at short scales) is given, and tested in the 2 dimensional case. This method can also be used to determine how manifoldlike a causal set is, and conversely to define scales of manifoldlikeness.
Cite
@article{arxiv.gr-qc/0601069,
title = {Constructing an interval of Minkowski space from a causal set},
author = {Joe Henson},
journal= {arXiv preprint arXiv:gr-qc/0601069},
year = {2009}
}
Comments
latex; 8 pages, one figure; accepted for publication in Classical and Quantum Gravity Letters