The smallest unit of time (time quanta) is the time it takes for light to travel Planck's length. (Planck's time.)
Since distance/relativity stop and quantum mechanics take over at Planck's length, actions across lengths less than this boundary are meaningless.
The fastest speed attainable is the speed of light (apparently).
So, if we take the smallest length and divide it by the fastest speed, we get the time it takes for the fastest thing to travel the shortest distance. Times shorter than this amount simply do not make sense.
SO:
Planck's length is about 1 x 10^{-34} m
Speed of light is about 3 x 10^{8} m/sec
Planck's time is about 3.3 x 10^{-44} sec
Answered by:
Christopher INgram, B.A., Independent Thinker, Mobile AL

'There is no inductive method which could lead to the fundamental concepts of physics. Failure to understand this fact constituted the basic philosophical error of so many investigators of the nineteenth century.'