Space-time: Arena or illusion?

This paper develops a framework which allows us to treat the topology and dimension of the space-time continuum as dynamically generated. We present examples of quantum systems which are defined without a notion of space, but which nevertheless undergo a transition to a space-time phase. The dimension of the space is an integer-valued order parameter which characterizes distinct phases of a single system. We also show the interactions between the low-energy particles of the system are gaugelike. Finally, we discuss the computability of Newton’s constant in this class of theories.