I'd like to share a revelation that I've had during my time here. It came while I was reading you're posts and I realised that Neo's mind could no longer accept the program in it's entirety.
You see, it goes back to what Morpheus was trying to show Neo during the training programs, that the matrix was not real. Now although all the others had accepted this in a general way, Neo's experience of this was far more specific.
To the others the Matrix was real, Cypher said that "I don't even see the code anymore, all I see is a brunette, red head.." And later even went on to say that "I think the matrix can be more real than the real world"
In Neo's case when he became the One, all he could see was the code which to him would have been a constant reminder that the matrix itself was not real. Like having a dream and realising in the dream that you are infact dreaming, you'd know that you could do anything within it. Even if you were to die, because you knew the matrix was not real, you'd know that you're not really dead, as Morpheus said "you're mind makes it real".
Ergo what the boy was saying was that nothing inanimate in the matrix really exists, hence there is no spoon, or bullets, or weapons on the wall in the chateau.