Im trying to figure out about what happens as an observer falls into a black hole using the swarzschild geometry. Assuming the person is somehow able to not fall apart, i'm sure that they can see their feet before the event horizon, after the event horizon and even during the event horizon. (Drew an eddington-finkelstein diagram). What I am unsure about is whether this observer will ever see her feet hit the singularity assuming she doesnt fall apart. My thoughts on this are that any two points on the worldline of her feet and head not at r=0 are connected by a null geodesic and thus except at the singularity the observer can always see her feet (of course at a different time than where her head currently is) However, i am not sure how this works as she gets to the singularity. Since any non-zero points are connected, it seems she can get arbitrarily close and still see her feet, but I don't know whether that means she ever actually sees her feet hit the singularity. Thanks for the input. BTW, this is question 12.13 in Hartle's book.