Is there a name for the event where someone leaving a room finds themselves back in the exact same room?
Solution 1:
paradox
It is a type of reflexivity: I have always heard it called an
Escher paradox
"I don't realy have any options, I'm stuck in an [Esher paradox]. Staying here or using the door doesn't matter at all. In both cases I've changed nothing."
I think Euler comes into play here somewhere.
Based on comments from the OP, a more updated alternative could be :
"endless loop"
"I don't really have any options, I'm stuck in an [endless loop]. Staying here or using the door doesn't matter at all. In both cases I've changed nothing."