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In introductory mechanics, the momentum of a particle is its mass times its velocity. In electrodynamics, the momentum of a field is proportional to the cross-product of the electric field with the magnetic field. In special relativity, momentum is generalized to four-momentum.
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How Feynman proves momentum is conserved in this example?
Here is what Feynman says in section I.10-3:
"Suppose we have two equal masses, one moving with velocity $v$ and the other standing still, and they collide and stick; what is going to happen? There i …
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Why "time part" represents energy in Four-momentum?
Its three "space
parts" represent the momentum of the object in the three chosen space
directions. Its "time part" represents energy. … The unity of momentum
and energy springs from the unity of space and time.
This part feels too abrupt for me and I am looking for a more elaborated explanation.
Here is a link to that chapter. …