The Causal Poset is Directed but not Lattice Ordered

Autor: Gudder, Stanley P
Rok vydání: 2012
Předmět:
Druh dokumentu: Working Paper
Popis: In the causal set approach to discrete quantum gravity the universe grows one element at a time in discrete steps. At each step the process has the form of a causal set (causet) and the "completed" universe is given by a path through a discretely growing chain of causets. The collection of causets forms a partially ordered set (poset) in a natural way. We first show that this poset is directed. We then give a counterexample which shows it is not lattice ordered.
Comment: The counterexample is incorrect. Thanks to Rafael Sorkin and David Rideout for pointing this out
Databáze: arXiv