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A paradox or rather a dilemma, as you might like to call it, from the portion of electromagnetism:

A charged particle with charge $q$ is moving with a uniform velocity $v$. So it has an electric and a magnetic field associated with it. Now if I, the observer, start running parallel to the charge with uniform velocity $v$, then, the charged particle appears to be static from my reference frame and hence I see that its associated magnetic field has, all on a sudden, vanished. But a stationary observer still finds that the charged particle has an associated magnetic field.

How can I explain this paradox? Is it anyhow related to "electromagnetism not being invariant under Galilean transformation"?

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  • $\begingroup$ I think that the term Feynman's Paradox doesn't concern your question. $\endgroup$
    – Frobenius
    Commented Feb 4, 2017 at 20:27

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It's not a paradox, if you study lorentz transformation, you see that Electric and magnetic fields are as linked to each other as space is to time, you can sometimes find a reference frame where the magnetic field is zero. see the transformation here : https://en.wikipedia.org/wiki/Classical_electromagnetism_and_special_relativity#The_E_and_B_fields

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