Lorentz symmetry of subdynamics in relativistic systems

The subdynamics theory, developed to describe the non-equilibrium evolution of large non-integrable systems is extended to systems obeying Lorentz symmetry. The subdynamics decomposition is shown to be Lorentz covariant, thus reflecting an intrinsic property of the system. The Lorentz-symmetric subdynamic scheme includes 10 exact kinetic equations, which generate a representation of the Poincaré-Lorentz transformations in any degree-of-correlations subspace of the Liouville-space (of density functions or matrices). Separating the internal evolution of the system from its global motion, the relativistic law of life- or decay-time transformation is verified.