RE: Gravity has a speed !
Seeing as gravity is also dependant on mass, and once the pencil gets close to the speed of light, it reaches infinate mass, would the eraser on the end turn into a black hole? In which case, once the pencil reaches the event horizon, it would appear static to the observer, as time outside the event horizon appears to stand still, but not for the pencil! As the pencil is in a totaly blackened room this can’t be observed and as our uncle Albert once said. “Time is only relevant to the observer” would the experiment be void? Or would the pencil, along with the little rubber bit at the end turn into a singularity?
You just know this stuff will keep you awake all night!