  A hypothesis proposed in the paper (Entropy 2017, 19, 345) on the deductive
formulation of a physical theory based on explicitly- and
universally-introduced basic concepts is further developed. An entropic measure
of time with a number of properties leading to an analog of the
Galileo-Einstein relativity principle is considered. Using this measure and a
simple model, a kinematic law which relates time to the size and number of
particles of a system is obtained. Corollaries of this law are examined. In
particular, accelerated growth of the system size is obtained, whereas in
systems with constant size decrease in the number of particles is observed. An
interesting corollary is the emergence of repulsive and attractive forces
inversely proportional to the square of the system size for relatively dense
systems and constant for systems with sufficiently low density.
