Rotational gravity
Here's a thought experiment for you:
If a hollow object rotates such as to provide a centripetal force equal to g at the perimeter, and you are in it, standing on the perimeter, and you drop the apple you are holding, what happens?
Does the apple fall? I started wondering this after reading Rama (Arthur C. Clarke), where there's a great big spaceship which has an ocean, kept in its place via 'rotational gravity'.
I thought: it may fall, if the atmosphere (if there is an atmosphere) is rotating in the same way. But why would it? It might, if the space is subdivided into rooms which push the atmosphere along with the rotation, or if there's a city with walls, or anything to keep the atmosphere moving.
But obviously, in a vacuum, the apple would stay where you released it until you hit it on the next go round (unless you gave it some impulse when you released it).
What I think, though, ultimately, is that rotational gravity IS NOT THE SAME as gravity, and you can't apply the same reasoning. Sure, you'll be able to stay on the floor, but you'll always be kind of falling forwards or backwards. And stuff you drop won't fall.
Big passenger ships for civilians would accelerate at one g half the way and decelerate at one g the rest of the way. That would provide real gravity. If we have our ftl frameshift drive, I dunno, but if we have that, we have so much control over 'frames' that we by definition can provide artificial gravity, whatever the lore.
At some point the physics breaks and we have to go with what is fun.
Edit: Of course, Wikipedia has a good article on this:
http://en.wikipedia.org/wiki/Artificial_gravity