Interesting how Special (and General) relativity is a stomping ground for both physicists and mathematicians.
There is actually nothing new to a faster than the speed of light version of special relativity.
Special relativity is a symmetrical theory where one version of the theory has the speed of light as a lower limit rather than the more familiar upper limit.
The term
tachyon well known to to Star Trek aficionados originates from this theory.
Regards
Steven