Embedding causal sets into Minkowski spacetime

被引:1
|
作者
Johnston, Steven
机构
关键词
causal set theory; discrete spacetime; discrete embeddings;
D O I
10.1088/1361-6382/ac5922
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present a new method for embedding a causal set into an interval of Minkowski spacetime. The method uses spacetime volumes for causally related elements to define causal set analogs of Minkowski inner products. These are used to construct matrices of inner products which are then factored using the singular value decomposition to give coordinates in Minkowski spacetime. Results are presented showing good quality embeddings into Minkowski spacetime for dimensions d = 2, 3, 4. The method applies in any dimension and does not require spacelike distances to be used as an input. It offers a new way to define spatial orientation and spacelike distances in a causal set.
引用
收藏
页数:19
相关论文
共 50 条