I heard this question from a friend the other day and it got me thinking as to the validity of the question itself as well as the implications of the answer.

 

the question involves a rope (which cannot be destroyed) of finite length attached to a point in space. The other end of the rope is attached to an aircraft (also indestructible) that is moving in the opposite direction. It is also noted that the rope is under the light cone of the aircraft (below the future light cone). So the question is what would happen once the aircraft moves to a distance greater than the length of the rope?

Due to both the aircraft and the rope being indestructible and the high speeds involved when the rope gets streached, the tied end of the rope will tear a huge rip in the fabric of the Universe, causing a flow of galaxies and stars pouring out into hyperspace, which effectively will deflate and destroy the Universe as we know it.

 

:D

"Indestructible" is an unphysical constraint on the problem.

 

IOW, something's gotta give.