From what I believe, it is impossible to travel faster than the speed of light. Hypothetically
speaking, if you were standing on a travellator going at just below the speed of light and
began running, would you then be going faster that the speed of light and if so, what would
happen?
The relativistic formula for the addition of two
velocities v and V is:
Resultant velocity = (v + V)/(1 +
[vV]/c2)
Lets imagine that the travellator is moving at 0.9 c and you are
moving at 0.1c relative to the travellator.
Your resultant velocity as measured by an
external observer would be:
Resultant velocity = (0.1 + 0.99)c/(1
+[0.1x0.99]c2/c2) = 1.09c/(1+ 0.099) = 0.9918c so still below the velocity
of light.