Arranged in order of coldest to hottest, I would say:
Bose-Einstein Condensate --> Solid --> Liquid --> Gas --> Plasma
Generally, I would consider the B.E.C a state of matter because it has different properties that the conventional three states. (Would Quark-Gluon Plasma then be considered a sixth state...?)
Anyway, I was conducting a thought experiment. From what I know, 0K is absolute zero, where 0 energy is contained within the matter. There is no maximum possible temperature for matter to be heated up to.
However, based on my thought experiment, heat energy is essentially the movement or vibration of the particles in matter. In this case, should there not be a point where the heat is increased to the point that the particles begin to move at the speed of light? And if heat could be gained infinitely, could these particles not begin to move faster than light and hence become tachyons? (Disregarding the impossibility of tachyons and faster-than-light travel, for the moment) Therefore, would tese particles not move backwards in time?
And as for absolute zero, what if something were cooled to below that? Would it not gain negative kinetic energy (taking the assumption that it could exist) and hence vibrate or move at negative speeds (again, try to disregard the impossibility of it) and move backwards in time, therefore also travelling faster than light and becoming tachyons? Would tachyons then also be considered a state of matter? At this point, it would be
B.E.C --> Solid --> Liquid --> Gas --> Plasma
v------------------Tachyons---------------------v
And yes, I know that the post is riddled with many impossibilities and assumptions, but I was going with the way the thought experiment was taking me. By negative speed, I simply mean that it is travelling backwards in time. In this experiment, the states of matter and speed itself becomes a circle, and no longer linear.
Feel free to correct me, since I'm striving to learn more about these things. This is merely a thought experiment based on what I have learnt so far in my explorations of physics, and additional information would help to refine future thought experiments. Unfortunately, I do not have the resources to conduct any actual experiments.