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New warp drive concept does twist space, doesn’t move us very fast
(arstechnica.com)
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I strongly suspect all solutions will either be invalid, or be limited to the speed of light.
The universe seems to have a lot of weird quirks (the speed of light being 1) what they have in common is that they make time paradoxes impossible. This points to some deeper physics causing these disparate effects. Anything travelling faster than C can be configured as a time machine, and so create paradoxes.