i have come across this before, or something like it.
as there is a maximum by which things can accelerate to, the speed of light (although i hear that is in question).
there is also a minimum that things can freeze, nothing can reach absolute 0, because then there would be no molecular movement; thereby defeating the uncertainty principle and black body radiation and knowing a particle's EXACT location and energy at the SAME history in time. therefore being able to predict the ONE infinite sum over histories and ALWAYS knowing the outcome (something only God and AlanF can know/do)
there is also minimum distance that traversed, anything "smaller" simply gets you to your target in the last half distance; in other words, there really isn't a last half distance, because that last half distance cannot exist. you simply get there.
there is also a minimum time, which if i remember right is governed by Planck’s constant.