Comment by ubercow13

That doesn't sound right. If you're on the event horizon you're not going at very slow speeds in that sense, the space around you is already falling into the black hole faster than light.

If you're "travelling at 1m/s so you can only raise your hand above your head at 1m/s by expending infinite energy" then you're already travelling at c-1m/s away from the black hole through local space just to 'stay still' at 1m/s 'velocity'. No wonder you need infinite energy to accelerate your arm 1m/s further and things get weird - you're travelling at relativistic velocities.