I've been trying to solve Alcubierre's drive. You have to use general relativity formulas, spacetime formulas, vectors in 2 to 4th dimensional space, the 4th being time, you have to use the metric tensor, tensor product formulas and vectors represented in a 4X4 matrix. The 4 being, again, the 4 dimensions you need vectors to to get the metric tensor with the tensor product formulas.
Its not a Warp Engine those only exist in theory, what you made is an Ion drive, it crams energy into Ions(in this case Photons) then shoots them, propelling a spacecraft forward with as much energy as you can cram into a Photon. You should note the current Ion drives have as much forward propulsion as the weight of a piece of paper in your hand pulls down.(So they would only accumulate speed in space/vaccums)
warp drive warps space and time.it does NOT push the space craft forward or any other direction for that matter
I know that. It is not the engine that moves, it is the space that the engine moves around it. :P
Warp is not an action-reaction propulsion. It utilizes a theory called alcubierre drive, which involves distorting space to achieve FTL velocities. Google it. NASA is attempting to create a real alcubierre engine.
The "Read more on warp engines" should be neater but i like it otherwise