More than 100 years ago, the concept of quantization began to go beyond natural and physical sciences. For instance, quantum numbers are used to determine the electron configuration of an atom, the probable location of the atom’s electronsand other characteristics of atoms. The main idea of quantization is the application of “double nature” logic to observed processes and phenomena, as well as to their driving forces and structure. Based on this logic, the principle of wave –particle duality was developed in physics and mathematics and provides the basis for quantum mechanics and relativistic theory. This principle applied to analysis and calculations helps to formulate fundamental theories to explain processes and structure using relativistic velocity and, in turn, describe operations of the material world at the macro and micro levels. This article applies the concepts of quantization and representation duality (which is the analysis of the dual nature of facts and events observed at the macro and micro levels) to social, economic and political data to describe the dynamics of actors and processes of the multiple connections of the global system. The analysis of the current state of world’s multiple connections in a macroeconomic context is conducted with inapproved parameters that characterize the dynamics of various changes that explain events in a two-dimensional manner.Often criticized by experts, these parameters have been supplemented by new ones, which have not yet resolved the flaw sin such a study of changes in economic processes. This article describes a theoretical concept of a structural-topological approach based on presenting global multiple connections in the form of two aggregated spaces – the space of events and the space of states – that complement each other to create a single system. The study demonstrates the representation method of the global economy illustrated through a practical analysis of integrational processes in the European Union and the Eurasian Economic Union. The method presented in this article can be used along with existing research methods to understand global fluctuations.