  Starting from a discussion of the concrete representations of the coordinates
of the k-Minkowski spacetime (in 1+1 dimensions, for simplicity), we explicitly
compute the associated Weyl operators as functions of a pair of Schroedinger
operators. This allows for explicitly computing the trace of a quantised
function of spacetime. Moreover, we show that in the classical (i.e. large
scale) limit the origin of space is a topologically isolated point, so that the
resulting classical spacetime is disconnected. Finally we show that there exist
states with arbitrarily sharp simultaneous localisation in all the coordinates;
in other words, an arbitrarily high energy density can be transferred to
spacetime by means of localisation alone, which amounts to say that the model
is not stable under localisation.

High Energy Physics - Theory