Networks are finite metric spaces, with distances defined by the shortest paths between
nodes. However, this is not the only form of network geometry: two others are the geometry …

The causal set theory (CST) approach to quantum gravity postulates that at the most
fundamental level, spacetime is discrete, with the spacetime continuum replaced by locally …

Theories of quantum gravity generically presuppose or predict that the reality underlying
relativistic spacetimes they are describing is significantly non-spatiotemporal. On pain of …

Results from a number of different approaches to quantum gravity suggest that the effective
dimension of spacetime may drop to d= 2 at small scales. I show that two different …

Geometric approaches to network analysis combine simply defined models with great
descriptive power. In this work we provide a method for embedding directed acyclic graphs …

This chapter presents the most interesting philosophical issues as they arise in causal set
theory. The first concerns the apparent disappearance of spacetime at the fundamental …

It is a common misconception that spacetime discreteness necessarily implies a violation of
local Lorentz invariance. In fact, in the causal set approach to quantum gravity, Lorentz …

In order to construct a quantum theory of gravity, we may have to abandon certain
assumptions we were making. In particular, the concept of spacetime as a continuum …

Approaches to quantum gravity often involve the disappearance of space and time at the
fundamental level. The metaphysical consequences of this disappearance are profound, as …

In the causal set approach to quantum gravity the spacetime continuum arises as an
approximation to a fundamentally discrete substructure, the causal set, which is a locally …