Quote:
Originally posted by John Henry
wrt TIO, the equations governing relativistic time-dilation tell us that the movement through time of an object moving through space at v>c is not in fact negative, but imaginary.
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The time dilation formula is not relevant to this. It also makes no sense whatsoever in curved spacetime, which is what wormholes and all that are all about.
Consider two events, A and B, separated such that light could not have traveled from one to the other. If you go through the math properly, you'll see that some observers would see A before B, while others would see B before A. Since the world seems to be causal we say that these two events could not affect each other, and certainly couldn't be the same object at different points along its trajectory.
As TIO said (much more briefly), this is why relativity doesn't allow FTL travel. Its a more general result than the mass increase effects, but requires the added assumption of causality. Its possible that strange topologies may exist that get around this (wormholes), but even the theoretical "evidence" is very iffy.