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Special relativity help - force

  1. Dec 22, 2014 #1
    1. The problem statement, all variables and given/known data
    A claim is made that a new force field F(x) (independent of the four-velocity) is discovered which induces on a mass m a 4-acceleration a = du/dτ = F(x)/m at position x. Would this be consistent with special relativity? Why or why not?

    2. Relevant equations


    3. The attempt at a solution
    Consistent with relativity - if not, I would looking for some violation of maximum speed - light velocity or relativity prinicipel. Some hint please?
     
  2. jcsd
  3. Dec 22, 2014 #2

    mfb

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    Staff: Mentor

    You can see if that can violate the speed limit, but it is probably easier to check if the ratio of accelerations of an object (as seen by two different observers) agrees with the prediction of special relativity.
     
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