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If you travel through space at lightspeed, will the stars in the background appear to move relatively slow?

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If you travel through space at lightspeed, will the stars in the background appear to move relatively slow?

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Look at the first link, showing the compression cone ahead of the .99c traveller. As you travel faster in a single direction, it becomes increasingly unlikely for photons approaching you from a wider side angle to reach you. As you accelerated closer to c, the perceivable universe would seem to compress into tighter cones in front of and behind you. Just before you hit c (somehow), your entire rear universe would have shrunk to a point of light which now shifts red-ward and vanishes. Finally, were you to reach c, no photons from behind you could ever actually reach you, and in front of you the entire visible universe would have compressed to a tiny pointlike spot in your direction of travel (I am ignoring blue shifting). Time dilation would have increased to such a degree that not very much at all seems to happen in the universe as you travel through it, or at least, not much happens in its interactions with *you*. For you, time does indeed appear to be standing still… until you hit

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