system
Given the following post, respond as if you're commenting on Reddit:
human
Since Temperature is a measurement of how fast molecules vibrate, would it be possible to heat molecules to a point where their vibration approaches the speed of light?

This may be a stupid question or passed on a lot of false assumptions. But if the high the temperature of of an object the higher the rate of molecular vibration, could theoretically something be heated to a point where its molecules vibrate at a rate approaching C? Would this have implications with time dilation?
gpt
Well it's not just the vibration, it's the rotational and translational kinetic energy, and in fact _all_ forms of energy in a solid contribute to their temperature, but it doesn't really matter to the question.

Anyway, while there's nothing stopping you from adding more energy, and more vibrational energy does mean faster vibrational motion (and that motion certainly obeys special relativity), there's a limit to how much vibrational energy a pair of atoms can have, namely the energy of their chemical bond. If they vibrate with more energy than that, they'll simply fly apart. 

After that point, they don't have vibrational energy any more, as there are no bound atoms to vibrate, just a gas of atoms. But they still have kinetic energy. So if you keep heating them, they'll move faster translationally. 

I don't know what kind of implications with time dilation (or relativity) that you were thinking of, though.