system
Given the following post, respond as if you're commenting on Reddit:
human
If the Planck Length is the smallest possible measurement of length, then is it also the shorted distance that can be traveled?

Of course, assuming one could control movement to such a minute increment.
gpt
The Planck length is neither the smallest possible measurement of length, nor is it the shortest distance that can be traveled. At least, as far as we currently know.

The difference between the Planck length and, say, a meter is essentially the same as the difference between a mile and a meter. Like meters and miles, Planck lengths are simply a unit of measurement for lengths. We use meters for everyday measurements because they're convenient. We use AUs, lightyears and parsecs for astronomical measurements because those are convenient there. Americans use feet and miles because... well... no idea really. And in the same way, various branches of physics measure lengths in Planck lengths because it is convenient.

Why is it convenient? Because when we measure things in meters, seconds, kilograms, etc... many equations in the field of particle physics contain various constants that you have to keep track of when you manipulate the equations. For example the speed of light and the Planck constant. These constants are not only an administrative burden, but they also make it harder to see the relations between various quantities.

So particle physicists introduced a new set of units that were chosen in such a way that those constants would be rescaled to 1. How do you do that? Well, suppose you're only interested in distance, time and speed. If you keep the second as your unit of time, but instead of using meters for distance, you use lightseconds, then the speed of light is no longer 299.792.458 meter per second, but simply 1 lightsecond per second. Any equation that includes multiplication with of division by c can now easily be simplified.

The system of "natural units" or "Planck units" contains a similar set of rescalings, but with more quantities, and done in such a way that some of these pesky constants become 1, so they can be crossed out of many equations.

The Planck length is simply the unit of length in this system. It was chosen as a matter of convenience and it has no proven physical significance.