I'm designing an FTL system for a new universe, and I'm trying to figure how 'plausible-sounding' this thought is.
The idea is that space is tangled and twisted in twelve dimensions, so that distant points of three-dimensional space are connected in twelve-dimensional knots, and passing from one part of space to another requires multi-dimensional rotation. Think of it like a set of points on a railway line - the line itself is effectively one-dimensional, but by rotating a train through a second dimension you can switch to a different track.
Our macro universe being, as it is, three dimensional, we have no way to push against these extra dimensions in order to initiate the rotation. This, perhaps, is where quantum mechanics comes in.
Suppose that we are able to control the spin of subatomic particles with extreme precision in twelve dimensions. We spin up a block of "quantum flywheels" in the direction we want turn.
Can that spin then be transferred (albeit at VASTLY reduced speed, of course) to the entire ship, allowing it to rotate through those extra dimensions?