It is more of an argument. If the mathematical description somehow created fire, it would have been closer to an actual spell, but it doesn't, which would suggest that description is not accurate or the argument is flawed ( edit: or both ). The flaw I noted puts both your and my argument in a difficult place, because it, among other things, exposes your surety about 'ultimately'.

I am engaging with you, because, while I think you are wrong, I don't want to pour cold water on an inquisitive mind ( and some of the thoughts you listed are interesting to explore ) -- I just also happen to think you got too mesmerized by the novelty of the idea.

FWIW, I am just guy on the internet so don't take my word for it.