Some of this stuff (I was looking at the first link) reads like bad pseudo-scientific babble: “A commonly held belief is that during the Big Bang, space-time expanded dizzyingly fast, certainly faster than the speed of light! So if space-time moved faster than the speed of light, then why couldn’t scientists warp space-time now? Warp drive technology, similar to ones described in popular science fiction, could well be next on the agenda.”
And the answer is: because the hypothesized superluminal expansion of space-time during the inflationary period didn’t violate relativity and it has nothing to do with the properties of space-time as it now exists. Where, for example, if two objects are separated in space by one light-year, they are also separated in time by one year, and by the same token, in the definition of simultaneity with respect to each other. It doesn’t matter what fantasies they dream up about “the ship is not really moving faster than light, it’s more than space-time is moving around it faster than light” because if the ship gets from point A to point B faster than light, no matter how it does it, it’s violated special relativity and broken causality. Can special relativity be violated in the real universe? I sure don’t know, but it seems very, very unlikely because an entirely new foundational theory would have to replace it.
According to the hype, not only will the EMdrive be able to propel ships faster than light, but its actual operation involves laser beams bouncing around inside it faster than light. So my WAG is: if the EMdrive works at all, it doesn’t violate special relativity, and it sure as hell isn’t going to propel anything in violation of relativity. The FTL laser beams were an observational error like the one at CERN. To believe otherwise I’d like to see some serious papers out on a potential replacement for relativity (not that I’d understand them, but I’d like to see their existence! :D) rather than just some forum saying “we’re seeing stuff that proves that Einstein’s most foundationally basic theory musta been wrong, but danged if we know why”!