solletica
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Not to mention that if neutrinos can travel faster than light, then so can macroscopic objects. If information can be sent faster than light, it opens the door to instantaneous teleportation across the universe. You could scan the position of every atom in your body, then step into a machine that would kill you, instantly transmit the information about your atomic composition to a receiver device on a distant world, and be reassembled by the receiver on that world.
I have no idea what THAT would do to causality (or if relativity would even apply in such a bizarre situation) but it would certainly result in a lot of weirdness.
My intuitive hunch is that the lighter something is, the more easy it is to make it cross the warp barrier. And since neutrinos have almost no mass, . . .