Indications of Weyl curvature in a causal set

Causal set theory (CST) is a theory of quantum gravity that posits that spacetime at the Planck scale is made out of "atoms" of spacetime and the continuum spacetime is an approximation to this underlying countable set of events and the causal relations between them. Viewed this way, a classical continuum spacetime becomes a directed acyclic graph. The theory has three broad sub-fields of research which are kinematics, dynamics, and matter and phenomenology. For kinematics, which is what my work is concerned with, the primary question is how to construct discrete versions of classical geometrical and topological structures. Specifically, I focus on Weyl curvature — I have found ways of determining its presence in a causal set representing a plane gravitational wave using a version of geodesic deviation for causal sets. This work is novel in that although there are proposals for estimating the Ricci scalar for a causal set for some time now, ours is the first such work for the Weyl curvature.