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 …

How can we reach a theory of Quantum Gravity? Many answers to this question are
proposed in the different chapters of this book. A more specific set of questions might be …

According to a number of arguments in quantum gravity, both model-dependent and model-
independent, Heisenberg's uncertainty principle is modified when approaching the Planck …

As we navigate through life we instinctively model time as having a flowing present that
divides a fixed past from open future. This model develops in childhood and is deeply …

These are some notes in lieu of the lectures I was scheduled to give, but had to cancel at the
last moment. In some places, they are more complete, in others much less so, regrettably. I …

The aim of this chapter is to explain carefully the arguments behind the assertion that the
correct quantum theory of gravity must be background independent. We begin by recounting …

Network theory has unveiled the underlying structure of complex systems such as the
Internet or the biological networks in the cell. It has identified universal properties of complex …

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

Prediction and control of the dynamics of complex networks is a central problem in network
science. Structural and dynamical similarities of different real networks suggest that some …

A one parameter family of retarded linear operators on scalar fields on causal sets is
introduced. When the causal set is well approximated by 4 dimensional Minkowski …