In 1991, Valentini provided indications for deriving the quantum equilibrium hypothesis which states that ρ ρ ( X , t ) = | ψ ψ ( X , t ) | 2 in the framework of the pilot wave theory. (Here, X stands for the collective coordinates of the system in configuration space). Valentini showed that the relaxation ρ ρ ( X , t ) → → | ψ ψ ( X , t ) | 2 may be accounted for by an H-theorem constructed in analogy to the Boltzmann H-theorem of statistical mechanics.