[deleted]
Hi Peter,
Welcome back from sailing; lucky you!
This is becoming a loose nail that needs to be hammered down. Locally, two objects cannot pass each other any faster than the speed of light; that much is intuitive.
There are reports of galaxies, millions of light years apart, that are moving apart at multiples of the speed of light. Even you have provided examples of huge spinning black holes that spit out a layer of material moving at .999...c - the ship; within that, there is another layer, the swimmer, that moves .999...c relative to the first layer; etc, etc...
Do we need to estimate the velocity of a layer of space in addition to its speed of light? I'm also getting hung up on DFM. Fields themselves are things that are supposed to obey the speed of light restriction; not overturn it.
Setting my hyper-drive ideas aside, at the end of the day, do we have a way to travel long distances faster than the speed of light? Or is there something that we've overlooked?
A planet is passing us at 0.9c; on the planet is a bullet train that travels .8c; on top of the bullet train is an ADHD kid on a tricycle who is peddling 0.7c. That kid drops its candy and, as bad luck would have it, it goes right through our window; but how fast? That piece of candy is going to hit our ship very hard when it hits us at .995c; not 2,5c.
In addition, if we wanted a trade route with a colony 10 light years away, are we going to use 10 stage rockets, where each stage is guaranteed to advance the remaining stages to .9c? According to what you are saying, this will give us a velocity of 9c to our colony. So what happens when we pass through the asteroids that we didn't account for? OK, not you and I, but some very unfortunate travelers? Moving faster than c should remove the spaceship from space-time itself, right? If not, then those poor travelers are going to hit the asteroid at some .999999c, for a very bright explosion that will be visible from earth and the colony 10 light years away.
My point is this: DFM probably can account for frame-dragging and these other FTL phenomena. But at best, it is fools gold FTL. It is not anything that can be used like an alcubierre drive or a star trek warp drive. I've solved most of that riddle, but it's way beyond anything we can do now.