  We demonstrate that the multiple gluon emission phase space in the dipole
cascade model has a strong linear correlation with the number of gluons
emitted. The number of gluons per unit available phase space at a certain
resolution scale is found to be remarkably independent of the cms energy and
global event properties like thrust, and even changes in the ordering variable
or resolution scale. We show that the distribution of sizes of gluon-gluon
dipoles in a parton cascade has stability properties which are sufficient to
account for those of the phase space variable. We observe that certain more
abstract entities, defined in the context of hadronisation and related to the
gluon emission phase space, share those properties of colour dipoles and name
them Generalised Dipoles. We also present an analytical model to qualitatively
describe our findings.
