The Relativistic Boltzmann Equation and Two Times

We discuss a covariant relativistic Boltzmann equation which describes the evolution of a system of particles in spacetime evolving with a universal invariant parameter tau. The observed timetof Einstein and Maxwell, in the presence of interaction, is not necessarily a monotonic function of tau. Ift(tau)increases with tau, the worldline may be associated with a normal particle, but if it is decreasing in tau, it is observed in the laboratory as an antiparticle. This paper discusses the implications for entropy evolution in this relativistic framework. It is shown that if an ensemble of particles and antiparticles, converge in a region of pair annihilation, the entropy of the antiparticle beam may decreaase in time.