There is no one true theory of everything. All models are false -- some are useful.
Many different math concepts are used successfully in physics. Even if they may be outside everyday intuition for a layman, that doesn't make them less "real"
I didn't mention a theory of everything, nor did I say "the model is false". I laid out what a vector quantity is and what "-" applied to one in 1D expands to.
Many different math concepts are used successfully in physics. Even if they may be outside everyday intuition for a layman, that doesn't make them less "real"