Hi everyone! my name is tim. i'm quite new here. i came to this site when searching about FTL and the concept of hyper-warp traveling. However, there are some lingering questions that some of you might find interesting to answer.

1) How does Einstein's Special Theory of Relativity (1905) prevents the concept of FTL from being achievable?

2) If we amend the special theory of relativity...to allowed for the possibility of FTL, what part should we amend and why?

[A] m(v) = m_o/(1 - v²/c²)^1/2 m(v) relative mass,m₀ rest mass, v velocity, c speed of light

As your velocity increase the term v²/c² approcahes 1. When it reaches one then the difference 1 - v²/c² is 0. Since you can't divide by zero it's not possible :)

[B] we would get rid of the square root so now the equation becomes m(v) = m_o/(1 - v²/c²), but now m(v), the relativisic mass could be negative...

As your speed increases, your mass increases, meaning that it takes more energy to move you. At speeds approaching c, your mass becomes quasi-infinity, requiering absurd amounts of energy to increase your speed.