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Tachyons and flashlights?

Relativity technically doesn't say things can't go faster than light. It says things can't ACCELERATE TO the speed of light. Therefor, something could theoretically go faster than the speed of light, if it started out that way. A particle going faster than the speed of light would be called a tachyon, and would be unable to SLOW to the speed of light or below, in opposition to a regular particle. (This is on Wikipedia). Another thing mentioned there is that tachyons would be seen to go backwards in time. Now I realize that tachyons are purely theoretical at this point, but as far as I can tell, there do exist at least theoretical models where tachyons would be allowed.

My question: let's say you were, say, somehow made of tachyons. You are traveling past your friend who is made of regular matter. You shine a flashlight ahead of you. Ok, so relativity says you see the light traveling ahead of you at the speed of light. Sure, I can buy that. Your friend also sees the light speeding in the same direction at the speed of light. I buy that too. The thing I don't get is how the two pictures go together. Because wouldn't your friend see you traveling faster than the light going ahead of your ship? Would he see you outrunning it and you not see yourself outrunning it? Clearly at below the speed of light you can't outrun it so time dilation fixes things. I'm thinking the traveling backwards in time thing must somehow reconcile the problem. Help me visualize?

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  • 7 years ago
    Favorite Answer

    When v > c, we have t = T sqrt(c^2 - v^2)/c = T sqrt(-N)c = T sqrt(i^2 N)/c = TNi/c, where i^2 = -1

    Time on the moving platform becomes imaginary time as indicated by the i. And that has no physics meaning. When v > c, in other words, we enter the world of make believe.

    My point is that unless you can somehow define and support what imaginary time might be, tachyons have no basis in any science. They exist only in scifi.

  • Anonymous
    5 years ago

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