Constructing an interval of Minkowski space from a causal set

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.

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

References in corpus (1)

• Semiclassical Quantum Gravity: Statistics of Combinatorial Riemannian Geometries

Cited by in corpus (8)

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• The Newtonian limit at intermediate energies
• Stable Homology as an Indicator of Manifoldlikeness in Causal Set Theory
• Quantum Gravity on the computer: Impressions of a workshop
• Spectral dimension on spatial hypersurfaces in causal set quantum gravity
• Path length distribution in two-dimensional causal sets
• Embedding Causal Sets into Minkowski Spacetime
• Simpler embeddings of causal sets into Minkowski spacetime