A general theorem on temporal foliation of causal sets
We show a general theorem of existence of temporal foliations in a general causal set, under mild constraints. Then we study automorphisms of infinite causal sets (which satisfy further requirements) and show that they fall under one of two types: 1) Automorphims that induce automorphisms of spacelike hypersurfaces in some given foliation (i.e. spacelike automorphisms), or 2) Translation in time. These results might be useful for quantization of the aforementioned causal sets.
gr-qc↗