If I understood the difference between 'fundamental' and 'material' in your usage, I could give you an answer. At the lowest level, all interactions are quantum mechanical; the classical view is effectively an intuitive abstraction of that. You said 'fundamental' was a 'synonym for immaterial', but it's not clear to me what you mean by 'immaterial' either; do you mean the fundamental force-mediating bosons as opposed to the fermions that make up everyday palpable matter? if not, what?
I don't know enough about QM to distinguish bosons from fermions in order to answer your question. I'm trying to be up front that this is a learning process for me. So, I won't necessarily end this conversation in the same place I started. I realize I've no reason to expect you to teach me QM, so I'll just stay in the conversation for as long as you're interested.
Given that, the best way I can answer your question is to ask whether you agree that "everyday palpable matter" exhibits emergent properties not exhibited by QM? If so, that is the separation I intended to distinguish with the terms "fundamental" and "material".
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