And 'mouse' also carries with it the mispronunciation of 'muse'. There's the close alliteration, of course. Sometimes alliteration hints at a former pairing, but it isn't enough in and of itself. I see the 'rent' in 'apparent'. And also the 'parent'.
Apartments are where the child goes to get away from the parent, to continue the segue to adulthood.
Often living with a roommate, which I suppose is where the 'pair' in 'apparent' comes from. Separated from the family but still in contact, and also apart from, and a part of, the life of the roommate. Which is what is 'meant' to be. Background I wanted to write about words, but I wanted to do it in a perverse way, so I produced this theory of pairings. I believe there is some truth to it, that when we say one word we do evoke a second, tenuously attached, like an hourglass coming out of our mouth.