EMDrive exists because of an experiment a long time ago where light was shown to have mass. This completely disagrees with mainstream physics, so theories were changed to make it so light could exhibit the features of having mass when it was convenient for science, but doesn't ACTUALLY have mass. To me, its an example of where science places more value in its codified religious texts than actually attempting to understand how nature works.
The simplest explanation of EMDrive would be the fact that light actually does have mass, thus can be used to generate thrust. There may be alternative explanations, but they would be very very hard to work into current models of physics. This shits on a lot of core (quantum) areas of science, and also shits on the law of speed of light, and would generally toss over the table of physics in many regards, so as simple an explanation as it is, science REALLY hates it. And that's why they tried to make the experiment disappear originally until someone had the bright idea of expanding upon it in this method.
I find it interesting, and I also find it interesting that it continues to hold up as more and more reputable places work on it, and the experimental basis for this machine also happens to be well verified. I really don't understand people like troll that insist their book understanding of physics should trump observable reality.