Corrected entry: When the guys are locked in the basement, the door hinges are on their side. You would think a theoretical physicist, experimental physicist, astrophysicist, and NASA engineer could together figure out to simply take the pins out of the hinges.
Corrected entry: Leonard refers to a never-ending game of "Bottle of Beer on the Wall" as having 'one times ten to the fourth' bottles of beer. One times ten to the fourth power is just one multiplied by itself a ridiculously large number of times, which equals one. That would be a very short game. Not a mistake a physicist would make.