I already did the math that demonstrates that this would very much be in ship 1's past. Do you have any specific disputes with that math?
I'll bite. Please provide math that supports this short story:
1. Ship uses A-FTL to (instantly) jump 100 light years away from point X, to point Y
2. At point Y, accelerates to 0.7c (instantly)
3. Ship uses A-FTL to jump (instantly) back from point Y to point X, ends up in its own past.
Let me break it down with numbers. Define that Ship 1 is at rest in the Earth frame at t= 0, x = 0. At this time ship 1 activates its FTL drive, allowing it to arrive at a location in the earth frame of x = 10 light years, at time t = 5 weeks, (apparent speed of roughly 100 c). ...
PS. Yes I have read your examples, they are inadequate IMO. Just to point out some error, Observer1 at A sees distance from A to B to be 10ly, Observer2, traveling at relativistic speed of 0.7c passing A towards B would tell its a different distance; and to him, it would be. It is how relativity works. You ignored that completely in your calculations.
This is a great primer for what the Lorentz Transformations are, and what the Speed of Light actually is.
This is a great primer for what the Lorentz Transformations are, and what the Speed of Light actually is.
yeah, I also posted these two other videos that specifically talk about superluminal travel... Kamill says he read the whole thread, but I think he skipped these videos
https://www.youtube.com/watch?time_continue=646&v=HUMGc8hEkpc
I already did the math that demonstrates that this would very much be in ship 1's past. Do you have any specific disputes with that math?
I'll bite. Please provide math that supports this short story:
1. Ship uses A-FTL to (instantly) jump 100 light years away from point X, to point Y
2. At point Y, accelerates to 0.7c (instantly)
3. Ship uses A-FTL to jump (instantly) back from point Y to point X, ends up in its own past.What part of "already did the math" did you not understand?
You claimed that you had read my posts with math from the beginning of the thread.
Here is a link to one that answers basically the same scenario, except with only 10 light years, and allowing 5 weeks travel time instead of instantaneous. Ship 2 in that scenario is exactly equivalent to a ship 1 that accelerates rapidly to match ship 2's speed. Instantaneous travel and larger distance only make the amount of time travel larger.
(Top of the quote is a link back to the full post)Let me break it down with numbers. Define that Ship 1 is at rest in the Earth frame at t= 0, x = 0. At this time ship 1 activates its FTL drive, allowing it to arrive at a location in the earth frame of x = 10 light years, at time t = 5 weeks, (apparent speed of roughly 100 c). ...Contrary to one of your previous posts where you claimed that I didn't account for length contraction, you can see in that post where I explicitly listed the length contracted distance to Earth.PS. Yes I have read your examples, they are inadequate IMO. Just to point out some error, Observer1 at A sees distance from A to B to be 10ly, Observer2, traveling at relativistic speed of 0.7c passing A towards B would tell its a different distance; and to him, it would be. It is how relativity works. You ignored that completely in your calculations.
...
This is a great primer for what the Lorentz Transformations are, and what the Speed of Light actually is.
yeah, I also posted these two other videos that specifically talk about superluminal travel... Kamill says he read the whole thread, but I think he skipped these videos
...
That is because those videos are barely related to the Apparent FTL travel. They are both about "what happens if you travel faster than light through space, and why you cannot".
...
I'll bite. Please provide math that supports this short story:
1. Ship uses A-FTL to (instantly) jump 100 light years away from point X, to point Y
2. At point Y, accelerates to 0.7c (instantly)
3. Ship uses A-FTL to jump (instantly) back from point Y to point X, ends up in its own past.

Like I said earlier, your math is not fully correct.
For example, if ship1 and ship2 have same origin at x=0, and ship2 is going at 0.7c, then for ship2 to witness ship1's exit 10 light years away, would mean that in the tim reference of ship1, ship2 would have to have a head start of at least 14 years.
So, ship2 leaves x=0 at year t=-14y, arrives at exit point at around t=5weeks.
Then, jumps back, and he isnt getting back any of those 14 years, sorry.
He still ends up at ship1's relative time of t=5weeks(+[5*timedilation]weeks if we assume its same A-FTL and not instant). So yeah, check all reference frames and you will see your math is wrong.
Instead the ship at Y instantly accelerates to 0.7 c towards X.
The distance to X is now contracted to 100/1.4 = 71.4 light years and the light from X will arrive at Y in 100*1.4 = 140 years (as would be shown by the time dilation of a timer left at Y and now traveling at 0.7 c w.r.t. the ship). The light pulse will then have taken 71.4/(1-0.7) = 238 years to cover the distance and was therefore emitted from X 238-140 = 98 years ago in this reference frame.
The ship jumps back to X and arrives 98 years after the pulse was sent and 71.4/(1+0.7) = 42 years before the light form its departure from Y arrives at X.
These times are 98/1.4 = 70 years and 42/1.4 = 30 years in the reference frame of X and Y.
According to X the ships departs, arrives at Y and depart again instantaneously but returns 70 years in the future on the jump back. Inconvenient but maybe not a problem?
Please let me know if I made any errors.
Instead the ship at Y instantly accelerates to 0.7 c towards X.This is the wrong direction of acceleration if you want to setup time travel to the past.
Your calculations attempt to simply use the time dilation and length contraction effects. these are not the full story of relativity, you instead need to use the full Lorentz transformations that have the time dilation and length contraction embedded in them, but also account for movement of the origins of the frames.
The distance to X is now contracted to 100/1.4 = 71.4 light years and the light from X will arrive at Y in 100*1.4 = 140 years (as would be shown by the time dilation of a timer left at Y and now traveling at 0.7 c w.r.t. the ship). The light pulse will then have taken 71.4/(1-0.7) = 238 years to cover the distance and was therefore emitted from X 238-140 = 98 years ago in this reference frame.No, speed of light is the same in every frame, and in this frame the earth is travelling towards the source of the signal, so they will meet in the middle in just 71.4/(1+0.7) = 42 years. Also, since the acceleration happens at the same time and location as the light pulse, the light pulse in this frame was just emitted.
The ship jumps back to X and arrives 98 years after the pulse was sent and 71.4/(1+0.7) = 42 years before the light form its departure from Y arrives at X.
These times are 98/1.4 = 70 years and 42/1.4 = 30 years in the reference frame of X and Y.Somehow some of your backwards description canceled out, so you got to the arriving 42 years before the light (in the Y frame) answer correctly. Also, you are correct that it arrives at t = 70 years in the X frame, but the calculation of t' = 30 years in the Y frame does not make sense. I think part of the problem is that you never clearly defined the origin of the Y frame. Usually you pick the origin of the 2 frames to be the same event in spacetime (the ship originally departing point X in this case.) With that definition, the time in that frame is the 98 years number. By the construction of the problem, this is the same time in the Y frame as the time in the Y frame at point Y just before the jump. Your calculation of 42/1.4 = 30 is actually the calculation of how many years remaining before the light pulse arrives at X in the X frame as of when the ship arrives back at X.
According to X the ships departs, arrives at Y and depart again instantaneously but returns 70 years in the future on the jump back. Inconvenient but maybe not a problem?This is correct, it is the other direction of acceleration that leads to a paradox.Please let me know if I made any errors.Let me know if you are still confused, and I can try to help. I don't think I did a particularly good job explaining in this post, so I assume you will have questions.
If I put the origin at Y=(x,t)=(0 light years, 0 years) I get:Instead the ship at Y instantly accelerates to 0.7 c towards X.This is the wrong direction of acceleration if you want to setup time travel to the past.
Your calculations attempt to simply use the time dilation and length contraction effects. these are not the full story of relativity, you instead need to use the full Lorentz transformations that have the time dilation and length contraction embedded in them, but also account for movement of the origins of the frames.You had me confused with the directions there for a while - are you saying I'm correct (boost away to put your FTL origin in the future and back to put it in the past)? I did both to show the difference.
I'm unsure of whether I'm confused or notIf I put the origin at Y=(x,t)=(0 light years, 0 years) I get:
Go from X=(-100,0) to Y=(0,0), boost to v=+0.7 c (i.e. away from X)
=> You're now at Y'=(0,0) and you left in the future at X'=(-140,98).
Location X' is currently at (-71.4,0), go there and boost back
=> You're now at (-100,-70), i.e. same location you started from but 70 years before you left.
This is a great primer for what the Lorentz Transformations are, and what the Speed of Light actually is.
yeah, I also posted these two other videos that specifically talk about superluminal travel... Kamill says he read the whole thread, but I think he skipped these videos
https://www.youtube.com/watch?time_continue=646&v=HUMGc8hEkpc
That is because those videos are barely related to the Apparent FTL travel. They are both about "what happens if you travel faster than light through space, and why you cannot".
maybe Miguel Alcubierre, the guy who invented the concept of warp drive (as we think it nowadays), can convince you?

Im keeping out of all the special relativity tutorials
Anyone got an opinion in whether there are conservation issues even if the grandfather paradoxes are avoided?
I brought up a specific case where from one observer's perspective an FTL flight would lead to an overlap, where for a period the FTL vehicle would exist as two instances simultaneously, and the universe would have a bit more mass. Another observer travelling with the opposite velocity observing the same FTL flight would experience a period where the FTL vehicle's mass had vanished from the universe.
Like I said earlier, your math is not fully correct.You said earlier that I didn't account for length contractino, when i explicitly did.
For example, if ship1 and ship2 have same origin at x=0, and ship2 is going at 0.7c, then for ship2 to witness ship1's exit 10 light years away, would mean that in the tim reference of ship1, ship2 would have to have a head start of at least 14 years.First, it is irrelevant whether ship 2 started from Earth, or took some other path to end up there and as I stated, the result is the same as if ship 1 rapidly accelerates to 0.7 c after the jump. The "same origin" is simply part of applying the Lorentz transformation. The math is just simpler if you define the origins to be the same event.
Second, time dilation means that it has not been 14 years for ship 2, if ship 2 had originally departed from Earth.So, ship2 leaves x=0 at year t=-14y, arrives at exit point at around t=5weeks.Those numbers are all in the ship 1 frame, but time and distance for ship 2 need to be measured in the ship 2 frame.Then, jumps back, and he isnt getting back any of those 14 years, sorry.Not 14 years, if you actually calculate it, you would find the time of Ship1 exiting FTL is t=-483 weeksin its own frame.He still ends up at ship1's relative time of t=5weeks(+[5*timedilation]weeks if we assume its same A-FTL and not instant). So yeah, check all reference frames and you will see your math is wrong.This is simply untrue because you did not apply the Lorentz transformation, and you are trying to calculate ship 2's behavior in something other than its own rest frame. Since all frames are equal, the ship 2 rest frame is equally valid, and we defined the FTL speed as relative to the ship's own rest frame.
You are the one who needs to learn to do calculations in different frames.
(...)
no, there is a third video, which you can only see the link, which uses the example of a WARP DRIVE ship. Link corrected so you can see the video
I did say "t" isntead of "t' " on purpose, cause if your calculation does not hold up in Ship1's reference, there must be something wrong with it. In Ship1's time reference, Ship2 must have left "x=0" 14 years earlier. Jumping back wont give that time back to Ship2.
Second, time dilation means that it has not been 14 years for ship 2, if ship 2 had originally departed from Earth.
Later in this thread RSE fairly noted that Lorentz transformations might not apply for A-FTL. I agree with that, as C is clearly broken, but not in a way that would result in time travels.
The video proves nothing but the fact that the math used today to do those calculations is not valid from all reference frames, hence it must be somehow broken.
I did say "t" isntead of "t' " on purpose, cause if your calculation does not hold up in Ship1's reference, there must be something wrong with it. In Ship1's time reference, Ship2 must have left "x=0" 14 years earlier. Jumping back wont give that time back to Ship2.Yes, something is wrong when you get causality violations, but the thing that is wrong is FTL. You can't actually point out a calculation I have done wrong because I did everything correct. The problem is assuming FTL. Meanwhile, you aren't even responding to the objection I already made showing that your statement is fundamentally contradictory to relativityQuote from: meberbsSecond, time dilation means that it has not been 14 years for ship 2, if ship 2 had originally departed from Earth.Later in this thread RSE fairly noted that Lorentz transformations might not apply for A-FTL. I agree with that, as C is clearly broken, but not in a way that would result in time travels.Lorentz transformations do apply. They apply to the objects moving in different reference frames, and no reference frame is different than another. RSE was talking about the objects during the jump, but this doesn't matter, all that matters is their coordinates and relative speeds at the beginning and end of the jumps.The video proves nothing but the fact that the math used today to do those calculations is not valid from all reference frames, hence it must be somehow broken.No, again, you have not shown that the math is inapplicable, you just refuse to even consider that the premise of "FTL exists" can be an incorrect assumption. Relativity is the only theory that consistently explains how physics works in all reference frames, so unless you have an alternative that can also explain all of the experiments confirming relativity, we are stuck with it. Also, you apparently skipped over the video where the person who came up with the modern concept of how to build a warp drive explains that even if it was possible to build such a device, it would violate causality.
You cannot apply Lorentz transformation for an object that jumped over space, instead of traveling through it. It will end up in a mess that makes it look like there are paradoxes possible. If you watch the video again, you will see that Matthew first shows how everything looks good from Paradox ship reference, but wrong from 0.99c-ship reference, therefore, Paradox ship ends up in the past? No, what about the first chart, it was all good in Paradox ship reference, he simply doesn't address that anymore. How convenient.
I did not skip the video, I do not agree with the statements within it. Big claim? I do not think so.
We can all agree that everything should follow cause and effect from all reference frames, despite how it might look like from there (B before A, etc.), then why do you insist the FTL is the problem, if the supposed "proof" why it'S the problem, is not even consistent from within two reference frames?
You cannot disprove something with a broken solution (again, when you transform any distance via Lorentz, it automatically assumes that distance was traveled through space, and in A-FTL case it is simply not true).
PS. To do a proper Lorentz transformation for an A-FTL drive, the distance delta has to be set to 0. So technically, the ship as far the transformation is concerned has never even moved. Then feel free to recalculate.