That's a nice explanation, but this hypothetical device doesn't move through space, it warps space. It's based on general relativity. It's gotten a lot of attention, and its practicality has been critiqued quite a bit, but everybody seems to agree that the math is right.
No argument there, just saying it doesn't seem to violate fundamental principles.
The exotic matter is negative mass. In theory there is such a thing, and a quantum effect produces it at a very small scale. Whether it will ever be possible to produce it in large quantities is another matter.
But at least the quantity required isn't quite as large as it used to be. The original configuration need a negative Jupiter mass. Now it's down to several tons.