You two must have a lot to talk about!
The imaginary friend is much better. And even better than the traditional “imaginary friend” who’s a companion to the lonely is the imaginary imaginary friend, who’s completely fictional and gets you out of awkward time with people you don’t want to be with, i.e. who delivers you back to your loneliness, or rather, your solitude.
“I’m sorry I can’t come to the cocktail reception but my friend K. from Novosibirsk is coming through town and we'll be having cocktails in my apartment with the door locked!”