I think maybe I am approaching again the need for Generators as the basis of Identification, and a Process can have any number of Generators, depending on its internal structure.
Clearly a Generator is needed at the creation (or emergence) of an Object, but what about during Transformation?
Do we, in the case of an Identity Transformation generator an Identity new for the Object moving through? Exactly this, we must for the Identity Transformation forms the basis for any kind of Reconfiguration.
This is where our Identity Transformation Operations come into relevance