The equation for the spherical wavefront of a light pulse that begins at the origin at time t 0 is x 2 y 2 z 2 (ct) 2 0 Using the Lorentz transformation, show that such a light pulse also has a spherical wavefront in frame S by showing that x 2 y 2 z 2 (ct) 2 0 in S

Question: The equation for the spherical wavefront of a light pulse that begins at the origin at time t = 0 is x 2 + y

The equation for the spherical wavefront of a light pulse that begins at the origin at time t = 0 is x² + y² + z² -(ct)² = 0. Using the Lorentz transformation, show that such a light pulse also has a spherical wavefront in frame S’ by showing that x’² + y’² + z’² -(ct’)² = 0 in S’.

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