Is increase in entropy synonymous with the flow of time?

[ModusPwnd]

I like thinking about time with an entropy perspective. In some ways its more intuitive than the usual relativistic way of looking at it. Clocks are devices which increase in entropy in a 'regular' fashion, with regular being defined as having constant ratios with other 'clocks'. The beginning of the universe has the lowest entropy possible, and thus was the earliest time possible. The macrostate of the small early universe has very, very few microstates associated with it. The end game of a heat death is a macrostate with the most possible microstates associated with it, this would be the end of time. If the universe is a closed system then both the early universe and late universe are accessible microstates and the entropy is constant, but any sub-system considered would not necessarily be like that.

 

[JustinRyan]

Hypothetically speaking...if doubling the "rate" of entropy caused time to speed up, then as we measure rates with respect to time, there would be no change would there?

I am not sure I can back this statement up with sound arguments, but I think time is a quantity/entity that does not require entropy for rate or direction. Rather the opposite. Entropy cannot increase (or decrease) without the time dimension to exist within.