In special relativity, we introduced the momentum of a particle in a given Lorentz frame as pH = (E,p), where E is the energy of the particle and p² is the relativistic 3-momentum. Explain why, in general relativity, the energy of a particle measured by an observer is given, irrespective of the coordinate system used, by -p "obs, where p is the momentum of the particle and us is the velocity of the observer in those coordinates. obs

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In special relativity, we introduced the momentum of a particle in a given Lorentz frame as pH =
(E,p), where E is the energy of the particle and p² is the relativistic 3-momentum. Explain why,
in general relativity, the energy of a particle measured by an observer is given, irrespective of the
coordinate system used, by -p "obs, where p is the momentum of the particle and us is the
velocity of the observer in those coordinates.
obs
Transcribed Image Text:In special relativity, we introduced the momentum of a particle in a given Lorentz frame as pH = (E,p), where E is the energy of the particle and p² is the relativistic 3-momentum. Explain why, in general relativity, the energy of a particle measured by an observer is given, irrespective of the coordinate system used, by -p "obs, where p is the momentum of the particle and us is the velocity of the observer in those coordinates. obs
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