- #106
neopolitan
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kronnyq said:I found a decent page explaining this but it's a little deep for my understanding.
I think I understand the basics of special relativity where the speed of light remains constant regardless the velocity of 2 observers, the laws of physics do not depend on location or motion, and that length, time, and mass depends on motion relative to a chosen frame of reference.
I can't seem to hack why faster than light speed would suggest time travel however. If anyone would care to elaborate or point me to a page/thread that doesn't require a PhD in physics to comprehend, that would be swell.
Hi Kronnyq,
Not sure if anyone has taken this tack (but I doubt it).
You start with the idea that FTL suggests time travel. The way you put it is as if we don't do time travel every day. But we do. We travel ahead at a rate of 1 second per second (where the second is defined in terms of our own rest frame).
If we watch another person, they can either be stationary in our rest frame or moving. If they move, we will note that they seem to exchange some of their time travel for space travel. Think of it like this, we have two monitors in front of us. One shows our time, according to us, and our position according to us. The other shows the other guy's time, according to his clock and his position, according to us (because he can claim he doesn't move). Now there are some more complex issues, but let's try to see past them for a moment.
What we will see is that the time on our clock will be related to the time on the other guy's clock and the distance travelled, and each side of the spacetime ledger can be balanced out using an equation which also brings in the speeds involved (both the speed of the other guy and the speed of light). Precisely what equation you use depends on what "time on the other guy's clock" you use.
The upshot of this is that you can sort of exchange time travel for space travel. But it is a zero sum equation. Our spacetime distance will equal his spacetime distance.
If the other guy exchanges all of his time travel for space travel, he will be doing light speed (and there are major reasons why he can't do that).
If you do more than light speed, then you no longer have a zero sum equation, and it is equivalent to traveling more than our standard one second per second while at (spatial) rest. It is sort of like using bonus time travel credits and I don't know if there is a mechanism for accessing bonus time travel credits.
I think that this is what you mean by "FTL implies time travel".
An important issue is that you can't actually go backwards in time. Even if this sort of time travel were possible, then all you could do is get to a future event quicker than someone else. The event would still be in the future for both of you when you set out on your journey.
cheers,
neopolitan
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