PAllen said:
1) Teleport to a rocket traveling at .9c. Pure coordinate shift in the home frame.
2) Teleport back home from the rocket. Pure coordinate shift in the rocket frame.
You arrive home before you left. Teleportation is pure FTL. How can it be different from tachyons in the phenomena it allows?
I think that thought experiment does not appear to create a paradox because we are only considering one frame of reference. Add a rocket at home that is also traveling at .9c, and now you have a problem. Consider the following additions to your experiment:
1) You have three clocks. One you keep with you (your clock). One you leave at home (home stationary clock). One you put on your home rocket (home rocket clock - not the distant rocket that we will teleport to).
2) Synchronize all these clocks so that they read 0.
3) Accelerate the home rocket to 0.9c (towards the away rocket). All clocks still read 0.
4) Teleport to the away rocket. Let's go ahead and accelerate the away rocket after you get there so that you don't instantly accelerate to 0.9c by splattering on the back of the spaceship. (I know, all of our accelerations are instantaneous, so why should this bother us now?)
- After teleporting (but before accelerating), here is what the clocks will read:
From "home stationary perspective":
----home stationary clock = 0
----home rocket clock = 0
----your clock = 0
From "home rocket perspective":
----home stationary clock=0
----home rocket clock=0
----your clock=FUTURE
From "your perspective":
----home stationary clock=0
----home rocket clock=FUTURE
----your clock=0
5) Now, accelerate in the "away rocket" to 0.9c away from home. Here are the new clocks:
From "home stationary perspective":
----home stationary clock = 0
----home rocket clock = 0
----your clock = PAST
From "home rocket perspective":
----home stationary clock = 0
----home rocket clock = 0
----your clock = 0
From "your perspective":
----home stationary clock = PAST
----home rocket clock = 0
----your clock = 0
6) Finally, teleport back home. Here are the new clocks:
From "home stationary perspective":
----home stationary clock = 0
----home rocket clock = 0
----your clock = PAST
From "home rocket perspective":
----home stationary clock = 0
----home rocket clock = 0
----your clock = 0
From "your perspective":
----home stationary clock = PAST
----home rocket clock = 0
----your clock = 0
If you only look at the "home stationary clock", then it would appear that you traveled back into the past. However, the home clock also thinks that it traveled into your past. Additionally, the home rocket thinks that nobody traveled into anybody's past.
According to SR, once you are back home, everyone should agree on the value of everyone else's clocks (they don't have to be the same values, but they should agree on what those values are).
Which clock values are incorrect?