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in relativistic quantum mechanics,
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he found the energy of a particle is connected to its momentum,
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this p is what we call momentum,
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and its mass by this relation.
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It's a particle of mass m and momentum p
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has this energy so you solve for the energy,
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you get two answers.
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Now, your temptation is to keep the first answer
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because you know energy is not going to be negative.
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Particle's moving, it's got some energy and that's it.
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But the mathematicians told Dirac,
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"You cannot ignore the negative energy solution