Quantum Field Tensor Model of Telecommunication Network Objects Interaction Based on Lie Groups

Abstract

This research explores the application of quantum physics methodologies to analyse digital flows within telecommunication networks. This study introduces a novel tensor model, grounded in the SU(2) Lie group, designed to simulate symmetric and asymmetric information interactions between network objects within a two-dimensional Euclidean complex space. The proposed model innovatively decomposes the tensor into three fundamental components: metric, torsion, and curvature tensors. The metric and torsion tensors are combined to form a complex vector system, effectively representing the intrinsic interaction dynamics between network objects. The curvature tensor, on the other hand, models the potential asymmetry introduced by an external observer, simulating third-party influences on network interactions. This approach allows for the representation of closed-time cyclic experiments, such as evaluating interactions between network nodes, as a continuous tensor field on a quantized topological circle. This framework not only provides a comprehensive perspective on information processes in data transmission networks but also draws parallels with elementary particle interactions in quantum physics. Furthermore, the research includes a statistical analysis using simulations in the NS3 environment, validating the model's effectiveness in identifying key characteristics of information flows. The analysis demonstrates the model's ability to detect and quantify the impact of external observers, the effects of traffic asymmetry, and changes in network dynamics through quantum entanglement entropy. The potential practical applications of this model, including network performance analysis, security enhancement, and routing optimization, are also discussed, highlighting its relevance to both theoretical and applied aspects of telecommunications and quantum physics.