system
Given the following post, respond as if you're commenting on Reddit:
human
Uncertainty principle - why is the ability to measure the location and movement simultaneously a violation of the laws of physics instead of insufficiently advanced measuring tools?
gpt
An ELI5 explanation would be that the uncertainty principle is a statement about the structure of waves. Position uncertainty basically corresponds to how spread-out a wave is, and momentum uncertainty corresponds to how spread-out the wave's frequency spectrum is. These two things are inversely related to each other.

It may be helpful to consider the two extreme cases. On one hand, you can have a sine wave that repeats infinitely in both directions. That has the maximum possible spread, but contains only a single frequency. On the other hand, you can have a spike at one point, which has the minimum possible spread, but contains _all_ frequencies. This should at least make it seem plausible that the spread in position space and the spread in frequency space are inversely related, though of course you need to get into some math to actually prove it.