Logistical, Financial, and Service N-D Structures of Networks on the Basis of the Concept of Metaverse

This study investigates the physical and informational interaction processes driven by data flows within complexly structured domains typical of modern commercial and economic systems. Material and information flows are conceptualized as a network-like, layered topology that reflects a continuum of physical and virtual objects across three primary dimensions: a physical layer (commodity and transportation flows, warehousing, and supply chains), an information layer (cargo movement data, logistics, and documentation), and a financial layer (cash flows, investments, credit commitments, costs, and revenues). The authors demonstrate that highly complex overlay objects including interacting commercial networks, logistics operators, digital platforms, and supplier-consumer relations—form multidimensional, layered topological structures that interact dynamically across adjacency boundaries. The resulting model serves as a universal analytical framework for evaluating logistics, finance, and information flows within complex resource-interaction hypernetworks. By integrating this model into software architectures, the developed mathematical methods can be deployed in real-world commercial applications, optimizing operational efficiency and adaptability within the modern digital economy.