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So if we added those two energies together to get the sum of the two,
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on this central particle, it looks like that.
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So there's a balanced minimum.
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There's a well defined position
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where the particle in the center of this chain
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will just sit there and it'll be hard to displace.
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So it can vibrate.
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Now how about in the other case?
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How about if it were electrical charges or gravity or something like that,
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an inverse square law that's holding things together?
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Then the second one is going to look like that,
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and that one is indeed stronger.