Tuesday, August 21, 2012

1208.3796 (Stanley P Gudder)

The Causal Poset is Directed but not Lattice Ordered    [PDF]

Stanley P Gudder
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.
View original: http://arxiv.org/abs/1208.3796

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