What’s the underlying principle on why you can’t know the position and momentum of a particle at the same time? Is there an explanation? I don’t have any knowledge of calculus or the math behind anything so I’m asking here, thanks!
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I like to think of it like a camera with different shutter speeds. Imagine you’re taking photos of a sports game. People are running fast, so you turn to a very high shutter speed, meaning that each photo is a very small fraction of a second. These photos give you a very clear view of the players, and you can make out a lot of details. But they’re static, and you can’t really tell who’s doing what.
You lower the shutter speed until each photo takes like 2 seconds. Now everybody is just a featureless smear, because your measurement was over a long time. You can’t tell anything about the individuals. BUT, you can measure the lengths of the smears and tell exactly who was moving what direction and how fast, based on their relative lengths.
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