Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Relativistic Invariance

  1. Dec 5, 2003 #1
    If I were to attempt to prove that the dot product of an electric and magnetic field is invariant under the conditions of Einstein's Special Theory of Relativity, how would I do this? Would the proof be very involved and complicated? Or should I just use hypothetical magnetic and electric fields and demonstrate how the dot product is unchanged when dealing with relativistic frames of reference?
  2. jcsd
  3. Dec 12, 2003 #2


    User Avatar

    Its not too complicated. E dot B is what you get for 1/4 the inner product of the electromagnetic tensor with the electromagnetic duel tensor. Inner products of tensors resulting in scalars are invariant which is suffucient to prove that E dot B is invariant. Why do you ask?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook