Re: A must read to increase your knollij!
Of course, this is just one instantiation of a general problem: that no one really has a clear idea of what it means to treat spacetime itself quantum-mechanically.
Thst's the wrong type of question. You can't quantise 'space time' because it has no independent existence. It's not a backdrop upon which events occur, it's an emergent effect of the relationship between fundamental particles/fields.
Paraphrasing The Man(tm) himself - space is what stops everything happening in the one place and time is what stops it all happening at once.