Lorentz symmetry of subdynamics in relativistic systems

The subdynamics theory, developed to describe the non-equilibrium evolution of large nonintegrable systems is extended to systems obeying Lorentz symmetry. The subdynmics 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 Poincare-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.