system
Given the following post, respond as if you're commenting on Reddit:
human
ELI5: Why can't we determine the position and momentum of an electron with ~100% accuracy by controlling both of those factors?

For example, can't we beam nearly-equal-strength gamma rays at an electron from all directions thus having almost-complete control of both its position and momentum at once?

Thanks!
gpt
The short answer is because they don't exist with 100% accuracy. The Heisenberg uncertainty principle isn't about measurement it is about the existence of the information. So no matter how you try and measure something the uncertainty in that measurement is inherent to the particle, an electron is never in 1 place with 1 momentum. Bells theorem, or rather experiments meant to test it, prove that there are no hidden variables that we just cant see.