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Light-Speed Spaceships Would Have Trouble Phoning Home
(www.iflscience.com)
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this post was submitted on 11 Dec 2023
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If you actually calculate the maximum speed at which information can travel before causing paradoxes, in some situations it could safely exceed c.
For two observers who are not in motion relative to each other, information could be transmitted instantly, regardless of the distance, without causing a paradox.
The faster the observers are traveling relatively to each other, the slower information would have to travel to avoid causing paradoxes.
More interestingly, this maximum paradox-free speed correlates with the time and space dilation caused by the observers' motion.
From your own reference frame, another person is moving at a speed of v*c. The maximum speed at which you could send a message to that observer, without causing a paradox, looks something like c/sqrt(v) (very simplified).