A good thought exercise for wandering and pondering. But, we are kinda’ stuck as DTMB pointed out. Government is the isolated system that ‘Entropy’ is a measurement of. But, for fun let’s look at one view that entropy is greatest when equilibrium is perfect. That comes from when entropy is looked at as the measurement of energy dispersal.
When energy is dispersing potential energy is converted to kinetic. Once dispersed there is no longer kinetic energy. But, within an isolated system energy cannot be created or destroyed, so we have potential energy remaining at its greatest.
Ice crystals → Water → Steam → Vapor → Ice crystals
A big picture view . . . our government is determined by the process of voting – energy dispersal. Our national Election Day is a point in time where all eligible voters vote. Even though some will not vote, IMHO their vote counts as a default for the winner since they did not cast a canceling vote. In other words our government is completely self-governing at that point.
Once all voting is completed and there is a final count all the energy has been dispersed, thus perfect equilibrium is reached and entropy is at its greatest. Borrowing from the Three Musketeers ‘All (Self-governing) for one (Government) and One for all’.
Next, with the blink of an eye there is a zero point. But, within an isolated system energy cannot be created nor destroyed. It can only be transferred or converted. Pun intended we all know our government does not work, so energy is not transferred as work. But, again with the blink of an eye, each voter has a new vote. Energy has been converted to potential. Now, the cycle begins again where that is when potential energy is at its greatest. Next, entropy begins to increase with energy dispersal seeking perfect equilibrium.
But, the curve ball is the Electoral College . . . oh well just having fun anyway . . .