Why does this law underpin so much of modern physics why is


As far as I interpret it, the law of ever increasing entropy states that "a system will always move towards the most disordered state, never in the other direction".

Now, I understand why it would be virtually impossible for a system to decrease it's entropy, just as it is virtually impossible for me to solve a Rubik's cube by making random twists. However the (ever so small) probability remains.

Why does this law underpin so much of modern physics? Why is a theory that breaks this law useless, and why was Maxwell's demon such a problem? Does this law not just describe what is most likely to happen in complex systems, not what has to happen in all systems?

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