u/GroundExisting8058

Is there a smallest unit distance that all matter must travel in? Like say for example if there does exist a smallest unit distance we will call it u. That means that the position of a quark or atom must be in 1u, 2u, 3u, etc. Does there exist a smallest unit distance that all matter must travel in?

In other words, is position discrete? I know that it seems like position is continuous because it’s not like I must change the position of my atoms in centimeters, but if we get as small as we possibly can, does all matter must travel in discrete steps? And can we prove it or can we not prove it?