Yes, models are how things are explained, but they are rarely, if ever, perfect. The physical world is, generally, too complex to completely map out in mathematics, much less with our current systems. What's more, models are usually made for use in a perfect environment, not the physical world.
As for, "I don't see you explaining anything valid on here," that is a statement full of ignorance. That's not meant to be taken as an insult by any means, but to say that it is invalid to state that E=mc^2 is not a model shows a lack of understanding on your part, especially when Hanabal is correct in stating that it has not held up when it comes to the realm of quantum mechanics.
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