I'll level with you. I only called it philosophical so I could hide behind that as a shield against an actual physics debate. But then I so showed my ass and mentioned the standard model. Thus leaving philosophy. I can't hide behind unfalsifiable bullshit.

So I hope someone read this and went down some wikipedia rabbit holes. I'll happily be "Cunningham's fool". I'll give you, weird reader, some more wiki nuggets below.

I don't think you should let some rando make you doubt anything. I don't have a Ph.D. in physics. I only have a mild intro this stuff. I was on my way to getting a phd in physics (nuclear at that, not particle) and got distracted by math.

I don't want to be super specific so as to not dox myself with a research fingerprint, but my research has crossed paths with things like Agmon metrics. Which although feels like I'm doing physics, it doesn't change the fact that physicists don't read my papers.

So I do find myself saying "apparently these graded algebras show up in quantum mechanics" and stuff like that. Maybe some day I'll go back and learn it deeper, but I doubt it.

But I do love knowing that there is a connection even if I don't see all the details. Like I don't think I'll ever understand sentences like "One way to incorporate the standard model of particle physics into heterotic string theory is the symmetry breaking of E8 to its maximal subalgebra SU(3)×E6.". I need to know about Lie symmetries, but I'm not in physics or algebra. So I don't think I'll flesh out this connection, but it really makes me ponder The Unreasonable Effectiveness of Mathematics in the Natural Sciences.

So online, I'd rather play the role of a street preacher spouting things like "nature can't take a derivative. there is no continuum." and hoping people read the links when I claim nature solves differential equations by means of weak solutions thereby only integrates. Integration is what nature does. I know that the phrase "nature solves differential equations" is nonsense. But it's fun. So going deeper, nature can't take a derivative because the idea of point particles destroys continuity. This is what saves the natural world from pathologies like the Banach--Tarski paradox. Those ideas are kinda basic, but I'm shooting for 1 in 10,000 read to whom the topic is both new and interesting for.

Sorry that you engaged with an internet crazy person. I hope it wasn't too infuriating.