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by Ciro Santilli (@cirosantilli, 25)
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Four-momentum

 wiki Relativistic mechanics
  •  Table of contents
    • Relativistic energy link
      • Energy-momentum relation link Relativistic energy
      • Mass-energy equivalence link Relativistic energy
    • Spacetime interval link
      • Proper time link Spacetime interval
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Relativistic energy

 toc
 wiki Four-momentum
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Energy-momentum relation

 toc
 wiki Relativistic energy
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Mass-energy equivalence (E=mc2)

 toc
 wiki Relativistic energy
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Spacetime interval

 toc
 wiki Four-momentum
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In the Galilean transformation, there are two separate invariants that two inertial frame of reference always agree on between two separate events:
  • time
  • length, given by the Pythagorean theorem
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However, in special relativity, neither of those are invariant separately, since space and time are mixed up together.
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Instead, there is a new unified invariant: the spacetime-interval, given by:
cΔt2−(Δx2+Δy2+Δz2)
(1)
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Note that this distance can be zero for two events separated.
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Proper time

 toc
 wiki Spacetime interval

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