Has the zeroth law of thermodynamics ever been proven? I know the zeroth law of thermodynamics probably follows from the second law of thermodynamics but according to The statistical nature of the 2nd Law of Thermodynamics, the second law of thermodynamics probably hasn't been proven to be absolute. I see why it could be possible to show that two substances in contact will form a solubility and thermal equilibrium with each other but I don't see how to show that when ever 3 immiscible liquids are in contact with one another, they will all form a thermal and solubility equilibrium with one another.
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