/sci/ - Science & Math

In most science fiction media, humankind has found a way around the speed of light barrier, with explanations involving warp speed or manipulating dark energy to raise the speed of light (Mass Effect). Many people now likely think that though we do not know how to travel faster than the speed of light at the moment, we are likely to figure it out eventually.
But I think I have a proof that FTL travel is absolutely impossible, case closed. Tell me if I am correct.

Two people are sitting on a train, one facing the same direction the train is moving, and the other sitting backwards. Both are leaders of forwards and backwards land respectively, and want to sign a peace treaty. However, neither wants to be the first to sign. A lamp in the middle of a table between them will be turned on, and both will sign the moment the light hits them.
A person standing on the train will observe both men signing at the same time. However, a person on the platform will see Forwards Land's leader move closer to the light and sign first. So people with different velocities disagree on when events occur.
Now imagine the leader of Forwards Land doesn't understand relativity and believes he has been tricked into signing first. He decides that the moment the light hits him, he will shoot Backwards Land's leader with a bullet that travels faster than the speed of light.
The existence of such a bullet leads to an impossible outcome: people on the train observe the light hitting both at the same time, and the pen of Backwards' Leader making a mark before he is shot. People on the platform see Forwards' Leader being hit with light first, firing, and killing Backwards' Leader before his pen hits the paper.

Thank you if you read all that. Fuck proofreading. So is it true that this proves information cannot travel faster than light by any method as it could lead to such an impossibility?

/sci/ help me out here. I know enough to realize the teleportation bit doesn't equate to "Beam me up Scotty" but I really, really, REALLY don't understand why an ultra-redundant quantum communication system using a previously agreed upon code and very sensitive measuring equipment couldn't kneecap casuality and walk away with an epic victory.

The Normandy, of course.