Universal homogeneous causal sets

Details Universal homogeneous causal sets Universal homogeneous causal sets

2005-10-28

arxiv.org/abs/gr-qc/0510118v1

J.Math.Phys. 46 (2005) 122503

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages

Scientific paper

10.1063/1.2147607

Causal sets are particular partially ordered sets which have been proposed as a basic model for discrete space-time in quantum gravity. We show that the class C of all countable past-finite causal sets contains a unique causal set (U,<) which is universal (i.e., any member of C can be embedded into (U,<)) and homogeneous (i.e., (U,<) has maximal degree of symmetry). Moreover, (U,<) can be constructed both probabilistically and explicitly. In contrast, the larger class of all countable causal sets does not contain a universal object.

Affiliated with

Also associated with

No associations

Rating

Universal homogeneous causal sets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Universal homogeneous causal sets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universal homogeneous causal sets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-500085