fatception
Two equally obese individuals trying to figure out which one of them is fattest. This argument will go on until one of them dies or loses weight, or until a black hole eventually forms (due to the paradox).
(Person 1: You're fatter!
Person 2: No, you're fatter!)
A fatception paradox occurs. Repeat above x∞
Person 2: No, you're fatter!)
A fatception paradox occurs. Repeat above x∞