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The paper presents the results of analytical modeling of the case of the presence zone of an abstract object characterized by a solid mass. It has several zones of presence based on the foundations of the TONTOR theory. Research determined that the discrete solid-state zone of the presence characterizes the solid part of the AE itself or the particles that form the surrounding space near the abstract entity and is the most powerful zone among the existing zones. The proposed model for determining the parameters of TONTOR zones of an object provides the possibility of analyzing the state of this object during its movements in the working space and metrological measurements of coordinates. These metrological aspects in the automatic mode of operation of object state analysis system determine the properties that increase the accuracy and speed of operations for calculating object movement trajectories in various fields of research.

Automated monitoring of the presence of such particles present near the main operational means of production or medical equipment with the determination of their trajectories is necessary to improve the efficiency of this equipment and the quality of operations. When performing measurements of the parameters of abstract objects of different origin and properties, for example, at precise parts production, problems of contamination of the surface of the object with discrete particles of another origin are often encountered. It is now known that every abstract entity forms around the area of the presence of solid particles. These solid particles, under the action of interaction forces, have the property to be ordered in space and on the surface of the object. This paper is a result of research and modelling of the interaction of such particles during their shredding and their structural self-organization. Severally consideration is given to the formation of dust layers under the action of coupling forces is reviewed. Models of behaviour of these layers for some typical surface forms of control object are created.