2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/53087Conformal group of transformations in the momentum space, consisting of translations $p'_μ=p_μ+h_μ$, rotations $p'_μ=Λ^ν_μp_ν$, dilatation $p'_μ=λp_μ$ and inversion $p'_μ= -M^2p_μ/p^2$ of the four-momentum $p_μ$, is used for the five dimensional generalization of the equations of motion for the interacting massive particles. It is shown, that the ${\cal S}$-matrix of the charged and the neutral particles scattering is invariant under translations in a four-dimensional momentum space $p'_μ=p_μ+h_μ$. In the suggested system of equations of motion, the one-dimensional equations over the fifth coordinate $x_5$ are separated and these one dimensional equations have the form of the evaluation equations with $x_5=\sqrt{x_o^2-{\bf x}^2}$. The important property of the derived five dimensional equations of motion is the explicit separation of the parts of these equations according to the inversion $p'_μ=-M^2 p_μ/p^{2}$, where $M$ is a scale constant.LATEX, 33 pagesHigh Energy Physics - Theorytext