provided sufficient work is done to move the pencil from
George’s end and the ends are fixed as mentioned before, the
only thing that possibly can result from this is that the whole
pencil is translated in the direction of the force, including
the unperturbed position about which any fexural vibration is
occuring. Thus, the whole thing, which is staying together as
one piece can only move in the direction of the force and since
the other end is fixed wrt any flexural red herrings you’ve
introduced, it moves with George’s end, without delay. Again,
since the information about the movement between the atoms of
the material is transmitted by photons, which themselves move at
the speed of light, I don’t see how this can occur “without
delay”. Also I am wondering how what you claim can possibly be
true, when it is patently obvious that one can move one end of a
long steel bar from side to side without the far end moving at
all. (The bridge movie makes this entirely clear). The bar
flexes, because it is not perfect