Constructing an interval of Minkowski space from a causal set

Details Constructing an interval of Minkowski space from a causal set Constructing an interval of Minkowski space from a causal set

2006-01-17

arxiv.org/abs/gr-qc/0601069v1

Class.Quant.Grav.23:L29-L35,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

latex; 8 pages, one figure; accepted for publication in Classical and Quantum Gravity Letters

Scientific paper

10.1088/0264-9381/23/4/L02

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.

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