Hi Ben,
Time in the usual sense does exist in the QGU. Time is here considered to be a purely relational concept that allows us to compare events to cyclic and periodic systems (clocks). It is a powerful and necessary concept, but one that, unlike space, does not correspond to a physical aspect of reality. The dimension we call time must then be purely mathematical dimension.
Since within the QGU time is nothing more than a concept, then the unification of the dimension of time which is purely mathematical with the physical dimensions of space makes no sense. So there is no space-time in the QGU.
That said, even in the QGU, we hardly do physics without some concept of time. So within the QGU, we define a fundamental unit of time which corresponds the action of a preon() making one single preonic leap. The duration of a phenomenon may then be understood as the number of leaps a preon() makes during an interval that is between the beginning and the end of the phenomenon. So, numerically, the duration of phenomenon corresponds also the distance, measured in leaps, that a preon() will travel while the phenomenon occurs.
This definition of time as being a purely relational concept also implies new definitions for notions such as speed, momentum, simultaneity, causality, etc.
I hope the above answers your question.
Best,
Daniel