It’s still valid inside the warp bubble, but the bubble itself can theoretically move faster than light without breaking the laws of physics to do it. If you surrounded the local Euclidean space your ship occupies with a warp bubble, and then push the warp bubble instead of the ship itself, Einsten’s equation is sidestepped. The concept of the Alcubierre warp bubble makes things interesting. It’s impossible to accelerate faster than light using standard physics, because your ship just gets more massive the more energy you put in, and it gets so massive you can’t do anything more with it.
The other limitation is that your ship is still subject to Einstein’s equation describing special relativity, which states that as you approach the speed of light, more and more of the energy you expend goes into increasing your own mass, until you reach the point where no matter how much more energy you put in you can’t go any faster - and you never quite reach the speed of light. The limitation of this approach is that eventually you run out of stuff to throw. Throughout the history of aviation and aeronautics, this meant burning fuel and shooting out the back of the ship in a vigorous physical reaction. To accelerate your ship, you have to throw something in the opposite direction to the one in which you wish to travel. Most people are familiar with the concept of warp drive through what they’ve seen on Star Trek, but today our spacecraft are currently limited to the laws of standard Einsteinian physics.
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