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How Galilean relativity transformation produces inconsistency with classical physics

  1. Sep 6, 2009 #1
    Hi, I am a novice here and i am trying to solve the following problem:
    1.Show that Galilean relativity transformation produces inconsistent classical physics result when used with equation of expansion of light sphere. (2 different frames)



    2. x2 = x1 - vt1
    y1 = y2
    z1 = z2
    t1 = t2

    expansion of light sphere: x12 + y12 + z12 - ct12 = 0
    x22 + y22 + z22 - ct22 = 0




    3. I have substituted the Galilean transformation equations in the later expansion of the light sphere equations:
    x12 + y12 + z12 - ct12 = 0
    x22 + y22 + z22 - ct22 = 0

    x12 + y12 + z12 - ct12 = 0 = x22 + y22 + z22 - ct22

    x12 + y12 + z12 - ct12 = x22 + y12 + z12 - ct22

    x12 - ct12 = x22 - ct22

    x12 - ct12 = (x1 - vt1)2 - ct22

    x12 - ct12 = x12 - 2vt1 + v2t12 - c2t22

    So far I have not been able understand the inconsistency and it's bothering me. I do know about Lorentz contraction, but don't know where the inconsistency is? Is there something wrong with my thought process? Thanks in advance.
     
  2. jcsd
  3. Jan 31, 2010 #2
    Re: How Galilean relativity transformation produces inconsistency with classical phys

    Hey,

    An interesting problem, anyone have a solution to it?

    Thanks,

    -PFStudent
     
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