You've clearly never lived with a cat. Your metaphor is crushed by the Kitty Expansion Theory: No piece of furniture is large enough for a cat and any other additional being.
The kitty expansion theory is incomplete, any piece of furniture is large enough for both a cat and an additional being provided the additional being was there first
Exactly. That kitty encompasses and rules over aaaalllll that couch. Surfaces and interior volume (as soon as he discovers it). No room for anybody else. Just ask him.