Process modeling (PM) in software engineering involves a specific way of understanding the world. In this context, philosophical work is not merely intrinsically important; it can also stand up to some of the more established software engineering research metrics. The object-oriented methodology takes an object as the central concept of modeling. This paper follows from a series of papers that focus on the notion of thinging in the context of the analysis phase of software system modeling. We use an abstract machine named the Thinging Machine (TM) as the mechanism by which things reveal themselves. We introduce a more in-depth investigation of a grand TM that Signifies the totality of entities in the modeled system. We also present new notions, such as maximum grip, which refers to the level of granularity of the significance where optimum visibility of the model s meaning is given. The outcomes of this research indicate a positive improvement in the field of PM that may lead to enhance understanding of the object-oriented approach. TM also presents the possibility of developing a new method in PM.