2-particle interactions produced by transformations of phase space.- Translation, dilation, Lorentz invariant two-particle interactions.- Spontaneous predictivisation.- Forms of relativistic quantum dynamics.- Relativistic-particle quantum mechanics.- The multitime covariant formalism of relativistic dynamics.- Second quantization of directly interacting particles.- The origins of predictive relativistic mechanics.- Singular lagrangian formalism in particle dynamics, I.- Singular lagrangian formalism in particle dynamics, II.- The Hamilton-Jacobi formalism for systems with constraints.- Constraint relativistic canonical particle dynamics.- Constraint Hamiltonian mechanics of directly interacting relativistic particles.