5 Universal homogeneous causal sets

Abstract

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… (More)

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