Faster than light and time travel

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Faster-than-light (FTL) travel implies potential backward time travel due to the relativity of simultaneity, leading to causality violations where an event could be perceived as occurring before its cause. The Lorentz time contraction formula suggests that if velocity exceeds the speed of light, time could become imaginary, reinforcing the notion that FTL travel is fundamentally problematic. Quantum entanglement, while seemingly instantaneous, does not transmit information faster than light, as any measurement disrupts the entangled state. Discussions also touch on the implications of group velocity exceeding light speed, which could suggest backward time travel without violating causality, though this remains speculative. Overall, the consensus is that FTL travel and backward time travel challenge established principles of causality and the spacetime continuum.
  • #31
kmarinas86 said:
What do you call a velocity [...]?

The derivation of the position with respect to the time.

kmarinas86 said:
And the focus here anyway is the velocity of neutrinos measured from the laboratory frame in which point A and point B are fixed coordinates.

If you want to have "backwards time travel" you will have to change the frame of reference.
 
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  • #32
DrStupid said:
The derivation of the position with respect to the time.

Not that I disagree with that, but you obviously misunderstood what I meant by positive and negative. There are three spatial dimensions and one time dimension. So let's guess what I meant by positive and negative.

That's right, the line crossing point A and point B in the experiment determines which direction is positive and which one is negative.

DrStupid said:
If you want to have "backwards time travel" you will have to change the frame of reference.

I'm not talking about comparing frames of reference. We are discussing velocity respect to the laboratory frame, not acceleration with respect to an arbitrary observer. This is where we address the measured speed of neutrinos, which is still being debated.

Perhaps I've got this wrong, and the tachyons (or other alleged faster-than-light particles) would simply be aging in reverse (time reversal limited to the "internals" of the particle, if any) without having to arrive at the detector before being fired from the accelerator?
 
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  • #33
DrGreg said:
All you can do with entangled particles is read what state they are in. As soon as you try to write a new state, the particles are no longer entangled.

Yes, that is what I was trying to say. Manipulating the atoms would end the entanglement and make interstellar Internet impossible.

On the upside, if any FTL technology for spacecraft is discovered (I will not go into too much detail, trying to avoid over-speculation) postal services will thrive.
 
  • #34
kmarinas86 said:
I'm not talking about comparing frames of reference. We are discussing velocity respect to the laboratory frame

Than your statement "faster than light travel requires backwards time travel" is wrong.
 
  • #35
xeryx35 said:
So does this mean that the programmer who wrote the program to "make sense of "the entanglement results, and the fact that the skills to use a computer to "make sense of" the data were taught to the crew, was the necessary subluminal communication component? How does it work, I don't really have a physics background so I don't understand it too well.

You generate a stream of entangled particles. For simplicity's sake we'll say the information in them is 1s and 0s. Here's the first 3 pairs:
p1a+p1b, p2a+p2b, p3a+p3b
You do not yet know which of p1a+p1b is a 1 and which is a zero.

Now, you send one of the pair off to A. Centauri and keep one for yourself.

You observe your p1a and see it is a 1. You now now that A. Centauri just received a 0.
You observe all your particles and see that they are 1,0,1. You now know that A. Centauri has received the sequence 0,1,0.

The particles at A.Centauri did not have a defined sequence at all until you onbserved yourse, at which piont the aprticvles at A. Centauri somehow instantly became 0,1,0. That is the spooky part that happened instnatly across 4 light years.

But what use is the sequence of 010 to you or to A.Centauri? The sequence of 1's and 0's occurred before you could observe them, so it carries no information that you could encode in it.
 
  • #36
DrStupid said:
Than your statement "faster than light travel requires backwards time travel" is wrong.

This is a statement I didn't agree with anyway.

kmarinas86 said:
If the spacetime continuum is an unviolated principle of nature, then faster than light travel requires backwards time travel

If A implies B, my response would be, not B, and therefore not A.

http://en.wikipedia.org/wiki/Tachyon

Wikipedia said:
As noted by Gregory Benford, among others, special relativity implies that tachyons, if they existed, could be used to communicate backwards in time[7] (see Tachyonic antitelephone article).

A violation of what special relativity implies for a given situation is more palatable than a violation of causality, in my view.
 
  • #37
kmarinas86 said:
If A implies B, my response would be, not B, and therefore not A.

That is correct but with limitation to a single frame of reference A doesn't implies B.
 

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