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One significant thing about the Heisenberg Uncertainty Principle we learned in lecture Friday is that it tells us that atoms have a physical limit to the minimum size that atoms can exist.
The equation essentially tells us if a particle is present within a certain range of position. Recall the example from class where the equation proved that an electron cannot be inside the nucleus of an atom (of course we knew that already but the Heisenberg Indeterminacy equation is one way to prove it).
The uncertainty principle is rooted in the fact that the process of observation influences the outcome of the experiment, and that there is a limit to the accuracy to which we can know the exact momentum and position of a particle.
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