In the movies, a spaceship traveling faster than the speed of light leads to time travel. In real life, it's impossible, at least according to general relativity. The problem is that when an object with mass is moving at high speeds, it's mass increases. This is shown by the equation:
M=Mo*gamma
where
gamma=(1/(1-(v/c)^2))^.5
So as v approaches infinity, M approaches infinity. You can think of mass as a resistance to acceleration, since the larger the mass of an object, the more force required to accelerate it:
F=Ma
The problem with this is that neither Mass nor Energy are conserved, two important early laws of physics. The solution was that Mass is a form of energy:
E=MC^2
Does anyone know the derivation of this? I can't find it and I'm interested. I'm talking the actual math with all the steps included. I think Conservation of Energy is used and there is a Taylor Series involved somewhere if that helps.
Look at this
