Abstract:
In this thesis we study some aspects of causal set theory. In Chapter 1 we briefly motivate
this theory, outline some important results and describe some of the work that has been in
done this field so far. In Chapter 2 we outline the various definitions and terminologies that
will be used throughout the thesis. In Chapter 3 we study the Poisson sprinkling method
to generate causal sets and study various properties of such causets, primarily the volume-
diameter scaling to estimate the causal set dimension. In Chapter 4 we try to generate
causets in the form of a layered, directed graph and try to find their causal set dimension.
In Chapter 5 we will use the tilted square lattice as the basic framework of our causal set,
and study how rewirings and percolation affect its various properties. In Chapter 6 we
summarise our results and outline how we can build upon this work.