If I and a group of friends are travelling at or just below the speed of light - can I see myself, can I see them, or they me? Would we see anything at all?
1 Answers
Unless you have zero mass, you cannot reach the exact speed of light. But lets work with the hipothesis that you are just below light speed. Two things would happens:
Doppler effect: light coming towards you would get blue shifted. That means you would be unable to see a blue object coming towards you, since you would see it as UV radiation or, depending on how fast you are, even as a X-Ray or gamma radiation. But you would be able to see the infrared radiation of a oven flying towards you, or even the radiowaves of a cellphone tower (your cellphone would not work, although). In the other hand, light coming from behind you would get red shifted. You would not be able to see a red object behind you because, for you, it would be infrared light. And if someone fired an X-Ray machine behind you, perhaps you could see it as a blue flash.
The other effect is a geometrical one and is caused due to a combination of the time dilatation and spatial contraction. It is called Terrel rotation and basically states that if someone at large relativistic speeds sees a cube, it would appear rotated. Wikipedia points to some references about this http://en.wikipedia.org/wiki/Terrell_rotation
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