errr...you're worried about the realistic physics of a TRACTOR BEAM?
Next you'll be asking about the inertial dampners or the reactionless engines or the faster than light drive.
The inertial dampers, or RIF, is something I'm still wrestling with.
For Quantm FTL see the work of real-life scientist Miguel Alcubierre. Good stuff. He was also featured on an episode of Sci-Fi Science.
As for Reactionless Drive, I imagine it is something gravitational, as it is tech-level-similar to Gravitic Drive
And both of these I can see explained by tehnology that generates it's own Dark Energy, which is currently a hypothetical construct to explain the accelerating expansion of the universe.
Or you could go with the space drives invented by Professor Hubert Farnsworth, in Futurama; a drive that does not move the ship, but moves the universe around it.