  We start with reviewing the origin of the idea that entropy and the Second
Law are associated with the Arrow of Time. We then introduced a new definition
of entropy based on Shannons Measure of Information, SMI. The SMI may be
defined on any probability distribution, and therefore it is a very general
concept. On the other hand entropy is defined on a very special set of
probability distributions. More specifically the entropy of a thermodynamic
system is related the probability distribution of locations and velocities or
momenta of all the particles, which maximized the Shannon Measure of
Information. As such, entropy is not a function of time. We also show that the
H function, as defined by Boltzmann is an SMI but not entropy. Therefore, while
the H-function, as an SMI may change with time, Entropy, as a limit of the SMI
does not change with time.
