The problem with information traveling ftl is, that you’re very quickly running into paradoxes. So just by logic wanting to keep intact, I feel like ftl communication will be impossible
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).
Logically it makes sense, but the real world is years and often we don’t use the right logical systems. It makes logical sense to most people that a heavy object falls faster then a light object ,but we know that is false (and a also a non obvious logical system that also shows it is false)
The problem with information traveling ftl is, that you’re very quickly running into paradoxes. So just by logic wanting to keep intact, I feel like ftl communication will be impossible
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).
Logically it makes sense, but the real world is years and often we don’t use the right logical systems. It makes logical sense to most people that a heavy object falls faster then a light object ,but we know that is false (and a also a non obvious logical system that also shows it is false)