Let's say I have an infinitely long rod which I use to pass information to my friend on the other end. If the rod moves towards my friend, it means I sent a 1 and if the rod moves away from my friend, it means I sent a 0. Using this rod to transfer binary information to my friend, can I send information that travels faster than the speed of light? Or in other words, can I talk with my friend instantly irrespective of the distance between me and my friend?
Is this theoretically possible? My assumption is that push and pull of the rod is instant. Is it really instant or the push and pull also travels at the speed of light limiting the speed of my communication?