MSc Dissertation Causal Sets from Classical Sequential Growth Models
نویسنده
چکیده
In the causal set program, the development of a dynamics is one of the most crucial issues. In this report, a candidate for a dynamics, sequential growth models, is studied with focus on the author’s personal work. Causal set formalism is introduced using the more general mathematics of partial orders. Sequential growth models are investigated as a possible dynamics for causal sets. Among them, transitive percolation is particularly studied and several mathematical results are proved. Properties of causal sets are then observed in simulations, and evolution of these properties is particularly stressed. Finally, sequential growth models are studied as a part of a larger collection of models attributing probabilities to causal sets.
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