Thedus,
Ok, now that I am home and time to think...
Tachyon: Ignoring whether such particles can exist for the moment; such particles would
be considered going Faster Than Light (herein called FTL) -- (always). Doing so prevents
anomalies in SR and divergences (infinity). Their mass value is only considered to be
imaginary when the frame of reference of the observer is moving slower than light. You
can see that yourself if you use Einstein's SR dilation equation and allow the observed
particle to v > c. Thus in this way the mass of the particle, the time reference of the
particle as viewed from a real observer would be imaginary. However, the energy is
still real in both frames. There is a difference. As the Tachyon particle slows down,
dilation occurs as if it was real and speeding (below c). As it speeds up likewise the
particle loses energy and goes even faster. Since the mass of such a Tachyon approachs
0 as speed increases, this implies there is no actual rest mass for Tachyon either.
If you don't allow either types of particles to communicate
(FTL => Tachyon, STL => Tardyon)
you in essence do not violate Einstein's SR Theory directly. This would still play havoc
with the notions of causality and why you don't hear discussion of such particles as a
class or type.
However, there was one Physicist I found while I was in college (and article) on
"The classical theory of Tachyons", by R. Recami, 1976 in the Italian journal
Nuovo Il Cimento (I forget which vol). Since then I have seen him write articles from
time to time.
With the explosion of material from 1984 on Superstring theory, I have been hearing of
'Ghosts' and why they are 'bad' for causal relationships. I am curious if these weren't
considered the same. It was because of Ghosts creeping back that the 26 dimension
theories were pretty much abandoned.
I know this doesn't really talk much about your theory (which I didn't really understand),
it is a valid discusion on FTL (particles) at least (not space ships).
Maddog