Consider two frames: S and S', with S' moving to the right along the positive x-axis or S at a relative velocity v. The origins of S and S' coincide at t = 0.(adsbygoogle = window.adsbygoogle || []).push({});

A spherical electromagnetic wave leaves the origin of S the moment S and S' coincide, or at t = 0.

If we consider the transformation equations for how far from the origin of each frame the wave has travelled, would S and S' agree that x' = x? In other words I mean to ask, that if the wave has travelled 2m in the x direction in S in some time, and S detects S' 1m away from the wavefront in the S frame, regardless of relative velocity S' in his own frame would detect the wavefront in his own frame also 2m away from his own origin in that same time?

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# Spherical Electromagnetic Wave

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