Ambitious. When I first started IS I thought of writing things I hoped to see in a web comic. Good luck! That's so ambitious and even one scene I would love to see.
Googling invariant I get...
Noun
A function, quantity, or property that remains unchanged when a specified transformation is applied.
It's to do with symmetry in mathematics... Though what that really means in context of a magic girl would need exploration. I left it open for the future.