Can FTL Travel via Wormholes Create Time Paradoxes?

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SUMMARY

This discussion explores the theoretical implications of faster-than-light (FTL) travel through wormholes and its potential to create time paradoxes. The concept involves a tunnel where the physical distance inside correlates with time dilation experienced between the mouths of the tunnel, calculated using the formula 1-(1/γ))ct. The idea suggests that if one mouth of the wormhole is accelerated to 0.9c, the tunnel's effective length would be 0.564 light-years after one year. The conversation raises questions about whether such a system could indeed prevent paradoxes by elongating the tunnel, emphasizing the need for a deeper understanding of space-time diagrams.

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vemvare
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This thread gave me an idea.

What if a method of "FTL" travel, similar to wormhole would consist of a tunnel that had a physical distance "inside" that any signal would have to traverse, and that distance being equal to the time dilation between the mouths of the tunnel since its/their creation expressed in distance (time * c)?

So that if one mouth was (instantly) accelerated to 0.9c, then after one year the length of the inside of the tunnel would be 1-(1/γ))ct which gives 0.564 light-years.

Could such a system be used to create a paradox? I'm thinking that any attempt at time-travel by putting a mouth at a high relative velocity would just elongate the tunnel, which might prevent paradoxes, but I don't know enough about space-time diagrams to see if it would actually "elongate" fast enough.

Can anyone shed light on this?
 
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Earlier self, I think one of the problems is that the two inertial frames will disagree on the length of the tunnel.
 

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