Time is most definitely not a side effect of measuring entropy. Time elapsed is defined by number of periods of some (natural or artificial) periodic phenomenon

Time is most definitely not a side effect of measuring entropy. Time elapsed is defined by number of periods of some (natural or artificial) periodic phenomenon. Orbiting of the Sun, or pendulum swinging, or clock hands motion, or electric circuit current oscillations. None of these periodic processes have anything to do with the concept of entropy.