On the post before:

Federation ships carry loads of deuterium, as it is also used for the fusion reactors powering some subsystems, emergency power and of course, the impulse propulsion system.

Comparing to this huge amount, there is rather few antimatter onboard. It is stored in containers that are about 2m in either direction (function explained later). However, it's enough that is carried. It is used to load torpedoes as well and enough for several years of independent operation.

And remember: To generate a warp field of 1000 mCochrane (equalling Warp 1), you need much power. And much, much more to reach Warp 9 - which is on the other side much more cost efficient thant Warp 9.2, as every Warp factor is a velocity at which a energy 'hole' is reached. Warp speeds between whole numbers need much more energy, that's why reaching Warp 1 needs more energy than holding it.

This table shoes the energy levels:

http://www.ex-astris-scientia.org/treknology/warptable.gif


On Antimatter:

One theory is that only the exact counterpart of an particle can destroy it (I don't know if it applies in reality, but it's true that a M/AM reaction was done some time ago. However, it were only a few protons and anti-protons if I'm right (you could call it hydrogen and antihydrogen).

However, the danger is why (on ST ships) AM is stored in special containers where it is held in a magnetical field so it can't touch anything.

And on Galaxy glass ships, there are a few more magnetic constriction segments on the way from the Deuterium injector than from the antimatter injector to the core. So it's 18 meters up and 12 meters down (although the deck count stated in the Technical Manual says deck 30 for the upper injector, 36 for the core and 43 for the lower injector, the meter figures are from the same book and all diagrams show the different count of constriction segments clearly).



I found something for your project:

http://www.ex-astris-scientia.org/warp.htm

Lots to read but definately worth it (I believe ).

Damn, i didn't saw this interesting topic before.  

But here is one public lecture of Stephen Hawking about space and time warps.

Yep it is. It describes (readable to anyone) possible theoretical problems with curving space-time.  And that is what star trek warp is doing, similiar to wormholes.

Star Trek is among the science fiction with the most eloborated science and technology. Yet, the well-known warp drive is rather a visualization of FTL travel for TV than a real physical or even technological concept.

So, it doesn't describe how to build ship with warp propulsion. But your question was "Is it relevant to FTL Travel?".  The answer is still yes. Read it so you can answer your question for yourself.