Ion drives are currently used for unmanned space probes and satellite orbital stabilizers. There is, however, a base limit on the thrust you can get out of an ion drive due to the electrostatic repulsion between the ions. At a certain point you just get sparks, which looks really cool, but makes the thruster fail.
Pls show me your noble prize in Quantum Physics to correct me, otherwise you're just bashing the idea.
It's always impossible unless somebody makes it a reality. FTL is possible you said it yourself you just need "to solve the paradoxes created by FTL travel" and maybe its out primitive mind that isn't capable of solving it.
I'd like to borrow Carbon016's words, and say:
physics can be broken, like the universe is The Little Train Who Could and all you have to do is BELIEVEEEEEEEE.
I can't explicitly prove that you can't go faster than light (actually I can, but it would explode your head), but I can explicitly prove that if you go faster than light, you create unsolvable paradoxes. The only way to avoid these is for the theory of special relativity to be proven
wrong, and since all of the consequences stem from two postulates, you have to prove one of these two things:
1. The speed of light is not always "c" in a vacuum, or
2. The laws of physics are not the same for all inertial frames of reference.
While you're at it, find me the exact value of pi.
The universe was created.
By the universe creating fairy.
-Dr. B