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 ...

The Lorentz transformation was derived on the basis of the postulate that the speed ...

The equation for the spherical wavefront of a light pulse that begins at the origin at time

Question:

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’.