Besides being one of the most important relationships in all of quantum physics, Heisenberg's Uncertainty Principle is something that a lot of disgruntled high schoolers will complain about having to learn in grade 12 Chemistry. Unfortunately, a lot of people will toss the principle to the side because they won't take the time to understand it. If said student does decide to tackle the principle at a deep level, they too will often end up dismissing it because it just sounds absurd. Like most of quantum mechanics, I will concede that the principle does indeed sound bizarre, especially if you try to relate to our macroscopic world. In this post, I'll try to take a different angle and attempt to explain it mathematically (to some degree). For some, I think this may be more helpful. Now, there are a couple of important things to take note of here: For starters, there absolutely is experimental backing to this idea. This is not just something we pulled out of a hat and h...
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