Suppose, as the Wikipedia article you link to does, that speed limit is somehow related to some measurable property of spacetime, like the Planck length. (We'll ignore the other observers overtaking John from the left who see you exiting your Alcubierre craft, $B$, before you turned it on, $A$.) In particular, John sees that the start and end of your trip, $A$ and $B$, are both on his $x'$ axis: those events happened simultaneously at different locations, so he sees your speed as infinite. John and I agree about spacetime intervals between events, but we disagree about time intervals and space intervals. The closest I have been able to find is Wikipedia's discussion on how, at $10c$, a wall thickness of less than $10^$. ![]() If the Alcubierre drive turns out to actually enable macroscopic travel at apparent superluminal velocities, then is there anything about it, as currently hypothesized, that would put a theoretical upper limit on the attainable velocity (lower limit on travel time between two arbitrary points in real space), similar to how Special Relativity imposes an upper speed limit equivalent to the speed of light? ![]() While superluminal, this is often brought up as an argument why such a drive, even if it were to turn out to be viable and possible to construct, would still provide only limited usefulness for interstellar travel. ![]() Every now and then, it's claimed that the Alcubierre drive has an upper speed limit.
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