Within the framework of this study, mathematical modeling of the collision phenomenon and entry into the bound state of ultrarelativistic electrons has been carried out. To establish the approach and empirical substantiation of the theory, a large-scale analysis of high-energy particles of cosmic radiation was carried out. The initial statements and the organized consequences were based on the results of the Mauritson-Remmet experiment and their theoretical basis based on mathematical modeling using the Schrodinger equation. The conclusions of this study, as well as the boundary and initial conditions set, served as the basis for modeling the case of a collision of high-energy particles in a quasi-static state for the case with approximate units of Planck values. The work carried out served to expand, study in detail, and establish a direct relativistic approach by solving the problem using the Klein-Gordon-Fock equation. As the results of the study, the solution function was obtained, as well as its direct visualizations, which clearly describe the phenomenon under study.