If a photon transverse the path in such a way that it make moves in(x¹ - y¹) plane making an angle of Φwith x_axis of gram s. Prove that for the frame s ux² + uy² = c² where s¹ is moving with velocity v relative to s.
Answers
Explanation:
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Answer:
If an observer is moving with velocity c-ε, he will see the photon moving at c. This is true no matter how small ε is. In the limit as ε tends to 0, therefore, he will still see the photon moving at c. As he approaches the speed of light, distances will shrink and time gets dilated. He will see the photon traversing shorter and shorter distances in shorter and shorter time intervals, in such a way that the ratio δx/δt is always equal to c. In the limit, all distances and time intervals become zero (time stops for him if he moves at c) and velocities take the form 0/0, which is c as we can see in the limit. So, every photon sees every other photon moving at c.