I know in chemistry metals are a class of elements on the periodic table, but in physics metal is more like a state of matter. All of the elements that are called metals on the periodic table are metals under normal conditions.
Apart from the 4 classical states of matter, Wikipedia lists a lot more, not only extreme ones, like quark-gluon plasma, BEC, superfluids, supersolids, but also liquid crystals, states that just have different magnetic properties and even glass is considered as a unique state. Metal isn't on the list, nor is it included as a state of matter in any other literature I've managed to find.
The reason I'm confused about this is because elements that are nonmetallic actually have metallic states at high pressures, including hydrogen, helium, oxygen, carbon, other heavier nonmetals. Even water, a compound, has a metallic state at 4000K, 100GPa. Metals have nonmetallic allotropes too.
Also, the primary difference between a metal and a nonmetal is analogous to the difference between a gas and plasma, which are different states of matter.
Another state of matter was discovered not long ago called the Jahn-Teller Metal. If this is classified as a state of matter, how come metal can't be classified as one too?