Rudolf Muradyan's main research is in
theoretical physics,
elementary particle physics,
high-energy physics,
cosmology and
mathematical physics. In 1973, based on the principle of self-similarity, the so-called "Matveev-Muradyan-Tavkhelidze quark counting rules" were established. They define the asymptotics of the form factors at large momentum transfer Q =\sqrt{-t} as well as the nature of the energy dependence of the differential cross section of an arbitrary binary scattering reaction at large angles at high energies E=\sqrt{s}: \left ( \frac{d\sigma}{dt} \right )_{ab\rightarrow cd}\approx \left ( \frac{1}{t} \right )^{n-2}f\left ( \frac{t}{s} \right ) Where N = N_a + N_b + N_c + N_d is the total number of elementary hadron components participating in the reaction. In this case N_b=1 if the particle b is a structureless lepton. The function f\left ( \frac{t}{s} \right )depends only on the ratio of large kinematic variables. It is a dimensional quantity and the natural scale here is the effective particle size. The power asymptotic law indicates factorization of large and small distance effects. Muradyan investigated the emergence of the Universe, stars, galaxies from an initial hadron, as well as the connection between the appearance of the Universe's rotation and magnetic fields and the cosmological constant \Lambda. In 1976, he discovered a new expression for the angular momentum of the rotation of the Universe: J=\hbar\left ( \frac{\hbar c}{Gm_p^2} \right )^3 Where \hbar is the Dirac constant, c is the speed of light, G is the gravitational constant, and M_p is the proton mass. Muradyan's proposed hypothesis of the emergence of the Universe, related to
Victor Hambardzumian's theory of the emergence of the Universe, allows to explain the appearance of the rotation of space objects (stars, galaxies and others) in a quantitative way, based on the known relationship in the physics of elementary particles between mass and rotation momentum. In 1970, Rudolf Muradyan gave an exact solution to the problem of "random walks" on the sphere and in
Lobachevsky space. In 1981 he proposed a direct and unified method for constructing irreducible representations for all discrete subgroups of a three-dimensional rotation group, especially for the triangle, tetrahedron and octahedron groups. In 1998, investigating Hopf structures in n-Li - Nambu algebras, he introduced the fundamental concepts of 3-coalgebras, 3-algebras and 3-algebras of Hopf. In 1990 Rudolf Muradyan proposed the new form of Mendelev's Periodic Table: the system in which the order of the elements is determined not by the sequence number, but by the structure of the electron shell filling of the atom. This table of elements is based on the quantum-mechanical structure of the atom, and has certain convenience and clarity. == References ==