The Ancient Tension Between the Discrete and Continuous

Length is not described by quantum theory; it's described by the general theory of relativity. And in that theory, space is infinitely divisible. There is no smallest possible length or time.

In general relativity, the idea is the opposite. It says things can continuously vary, and the mathematics requires that things be continuously variable so they can be differentiated and so on. The idea there is that you can keep on dividing up space and you can keep on dividing up time.