Most of space is empty, analysis of the path beforehand and a structure that can withstand the smaller objects is really all that's necessary. But those are just as theoretical as this engine.
Problem is that asteroids are very hard to see, as they are both cold and dark, meaning they don't stand out against space very much at all. And even a micrometeoroid poses a risk even when traveling at low velocities (e.g. someone orbiting earth, the meteoroid itself has a relatively high velocity). Getting hit by a 1cm meteoroid at warp 1 would be devastating.
Yes, as I said theoretically. If/by the time this heavily theoretical engine comes to fruition there will probably be ways to detect asteroids better than we have now. Also materials/structural design that are better than what we have now for sustaining the smaller hits. Maybe quantum prediction scanning, maybe a forcefield. Who knows by then.
Just a thought. If you just have a preliminary motion and your travel velocity is due to warping of space, wouldn't objects caught in your warp field just move with you till they exit?
We can't even travel that fast to even start theorizing how that would work 🤣
From previous reading on the subject, I believe the main issue with this style of transport would be slowing down so as not to cause a massive explosion of forward moving energy at the barrier of the warp bubble which would build up during travel.