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Constructing an interval of Minkowski space from a causal set

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Joe Henson1

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LETTER TO THE EDITOR

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 two-dimensional case. This method can also be used to determine how manifoldlike a causal set is, and conversely to define scales of manifoldlikeness.


PACS

04.60.-m Quantum gravity

02.40.Sf Manifolds and cell complexes

MSC

51B20 Minkowski geometries

83Cxx General relativity

Subjects

Mathematical physics

Gravitation and cosmology

Dates

Issue 4 (21 February 2006)

Received 15 November 2005, in final form 16 January 2006

Published 7 February 2006



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