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Homework Help: Special Relativity and reference frames

  1. May 13, 2009 #1
    Here's a statement that I'm supposed to solve:

    ([tex]\Delta[/tex]x')2 = ([tex]\Delta[/tex]x)2 - c2([tex]\Delta[/tex]t)2

    And the accompanying text: "Show that (the equation above) is the same for all reference frames in special relativity"

    I consider myself somewhat decent with your basic special relativity calculations but I'm having trouble starting this one. I'm not interested in an answer as much as a gentle nudge in the correct direction.

    What is this question asking for, mathematically? I don't even know where I should be ending up...
  2. jcsd
  3. May 13, 2009 #2


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    It's asking you to assume (x',t') and (x,t) are related by a Lorentz transformation and show that (delta t')^2*c^2-(delta x')^2=(delta t)^2*c^2-(delta x)^2.
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