Abstract <p>The article demonstrates the approach developed by the authors to describe relativistic nuclear interactions in the space of four-dimensional velocities using the similarity method of inclusive spectra of hadron production in the central rapidity region. Earlier, this approach has been significantly improved by considering the quark–gluon dynamics for hadron production in nucleon–nucleon interactions in the central rapidity region. The article presents the calculated <i>p</i>_t spectra of pions and kaons in <i>pp</i> and BeBe collisions, which are in good agreement with experimental data. Our approach also satisfactorily describes the kaon-to-pion yield ratio over a wide energy range. The article presents new data describing the spectra of secondary charged kaons in the most central ArSc interactions. It is shown that the presented method also works well when calculating the yield ratio of antiparticles and particles in <i>pp</i> and <i>AA</i> interactions.</p>