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Relating SR time dilation and GR time-passage variation

  1. Aug 17, 2010 #1
    A free fall particle is locally inertial, and therefore two radially-infalling particles at different heights along the same radial line are like two inertial particles moving in the same direction. At the intial instant of release they both have zero velocity. However since the two particles have different accelerations (but both in the same diirection), at the next instant they have different speeds (but both in the radial direction), and so there's a Lorentz time dilation (and length contraction) between them. This is like the time-warp of GR, and so there would presumably be some relationship between the Lorentz time dilation resulting from the difference in speeds and the phenomenon of time-warping. [Of course the inertiality is only local and there's a relative [tidal] aceleration between them so this is not the classic SR scenario.]

    A string of vertically-separated clocks (separation d) fall freely past a stationary string of vertically-separated clocks (separation d), the times on each are compared, as are the time-lapses between meetings. What is observed? (it is a way of relating SR time-dilation and GR time-passage-variation)
     
  2. jcsd
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