  As a continuation of Part I [8], a more precise formulation of local time and
local system is given. The observation process is reflected in order to give a
relation between the classical physics for centers of mass of local systems and
the quantum mechanics inside a local system. The relation will give a
unification of quantum mechanics and general relativity in some cases. The
existence of local time and local motion is proved so that the stationary
nature of the universe is shown to be consistent with the local motion.
