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Entropy - can we express number of microstates as a function parameterized by degrees of freedom?

In some of the answers and comments from this question people contended (not in so many words) that because entropy is parameterized by number of microstates $\Omega$, and the definition of $\Omega$ ...
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Holographic principle with infinitely many degrees of freedom?

The holographic principle entails a limit to the number of degrees of freedom or possible states in a system (which would be givem by its surface rather than its volume, thus they would be "...
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