Causal set dynamics: a toy model
Open Access
- 1 January 1999
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 16 (6) , 1817-1832
- https://doi.org/10.1088/0264-9381/16/6/315
Abstract
We construct a quantum measure on the power set of non-cyclic oriented graphs of N points, drawing inspiration from one-dimensional directed percolation. Quantum interference patterns lead to properties which do not appear to have any analogue in classical percolation. Most notably, instead of the single phase transition of classical percolation, the quantum model displays two distinct crossover points. Between these two points, spacetime questions such as `does the network percolate?' have no definite or probabilistic answer.Keywords
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