willbell said:
Forgive me for being a little bit of a novice at this subject, but what exactly would you use to quantify the "strength of the space-time distortion being generated by the drive". What unit of measure would be used for that?
Any unit you like - the strength of the field would be whatever the ships engineers would use to say how well the warp bubble is maintained in the face of external events.
eg. when the warp bubble encounters matter, it has to do something about it. Whatever the designers have figured out is going to take energy and that energy has to come from someplace... presumably whatever is maintaining the warp. Higher densities of matter will require higher powers to compensate.
The drive works by imposing an odd shaped geometry on the regular "ambient" space curvature of, say, a planet or a star.
I could be that the ambient curvature and the interaction with matter could change the warp so that it will no longer support FTL - the spacecraft drops into normal space and...
Assuming the ship manages to punch straight through Saturn, what amount of energy are we talking about, and what would humans see from Earth?
Last I saw, the negative energy requirement can be as low as a few milligrams of exotic matter per atom of space-craft. E=mc^2. However this energy is generated - the bubble collapsing would mean dealing with it somehow. For an earth-mass ship you'd be looking at an explosion equivalent to hundreds of millions of supernovas[*].
Give your ship an extra supernovas worth of energy to play with and you probably won't notice any pesky gas giants in your way. From Earth - you'd notice a very bright light as Saturn disintegrates... if you want to do the calculation: assume the warp has been configured in such a way that it just pushes intervening matter to one side - thus the mass of Saturn in the direct path of the warp-envelope has to get pushed the radius of the envelope in the time it take the ship to travel into it [**]. Conservation of energy.
Basically what I'm saying is that your question is far too wide open to call.
Everything boils down to the details of the design of the drive.
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[*] Very roughly: 6x10^23 (1 mole) carbon atoms is about 12g
That would need 5x10^19kgc^2 of negative energy per kg of carbon.
The mass of the Earth is about 6x10^24kg and your ship is 3 of them?
So that's 9x10^44kgc^2 = 27x10^52J of energy just to make the drive work.
A supernova releases of order 10^44J of energy - so this is the same energy as about a billion supernovas. Not something you want to release all in one go.
OTOH: if the
total mass-energy of the starship is 3-Earth's, then the ship itself must mass about 360000kg. So the energy equivalent is 5x10^33J ... which is "better".
[**] diameter of Saturn = 120000km
diameter of envelope 23000km (snug fit to 3-earth-size starship)
density of Saturn: 687kg/m^3
speed of light: 300000km/s
at lightspeed, ship will shunt aside 4.7x10^21kg/s of material
the average speed this matter has to have to get out of the way fast enough will depend on the geometry of the front of the envelope ... if it is conical, the apex angle needs to be less than 90 degrees (the matter is not inside the warp so it cannot exceed c).