What Am I Riddles

Question: You wait for it. It appears, cracks, stays for a moment, then disappears before your eyes.

Question: You put me on a table and cut me, but you don't eat me.

What am I?

Question: Different lights make me strange,
for each one my size will change.

What am I?

Question: Something all men have,
but all men deny.
Man created it,
but no man can hold it.

What is it?

Question: There is a story that a man and not a man
Saw and did not see a bird and not a bird
Perched on a branch and not a branch
And hit him and did not hit him with a rock and not a rock.

[How is this possible?]