The Schrödinger's Cat in Ralph's Hat

Poor Ralph is a stick man
who's looking annoyed;
your attention is all that
keeps him from the void.
But Ralph does have a cat
(whose condition's unknown);
it's shut in a box
so let's leave it alone.
 
If Ralph is not here
then he must be out there.
He's wearing a hat
but his bottom is bare!
Quick! Call the police!
And instruct them to dash—
if we don't intervene,
he's going to flash!
 
There goes Ralph down the street;
do you think he'll get caught?
If not, he'll just vanish—
out of sight, out of thought!
And because he's a stick man
that someone invented,
nobody will see him—
he won't be lamented.
 
Though Ralph streaks away,
his hat is still here.
If he never returns,
will the hat disappear?
We could keep it safe
with the cat, in the box—
except, it won't open;
it's sealed like Fort Knox!