All the King’s horses and all the King’s men could not put Humpty together again.
Humpty Dumpty has been used to demonstrate the Second Law of Thermodynamics. The law describes a property of things known as entropy, which is a measure of the number of specific ways in which a system may be arranged. Entropy represents the energy in a thermodynamic system which is not available to do work. It is often taken to be a measure of randomness or disorder: the higher the entropy, the more chaotic is the system, and the less useful energy it contains.
After his fall and subsequent shattering, Humpty becomes a high entropy (disordered) system. The inability to put him together again illustrates the Second Law, as it would be extremely difficult (though not impossible) to return him to his earlier state of lower entropy (higher orderliness) without enormous effort. The entropy of an isolated system never decreases on its own. (A deck of cards cannot become a house of cards without inputs of energy.)
Doctor in Brooklyn: Why are you depressed, Alvy?
Alvy’s Mom: Tell Dr. Flickr. [turns to doctor]…its something he read.
Doctor in Brooklyn: Something he read, huh?
Alvy at 9: The universe is expanding.
Doctor in Brooklyn: The universe is expanding?
Alvy at 9: Well, the universe is everything, and if it’s expanding, someday it will break apart and that would be the end of everything!
Alvy’s Mom: Why is that your business? [turns to doctor] He stopped doing his homework!
Alvy at 9: What’s the point?
Alvy’s Mom: What has the universe got to do with it? You’re here in Brooklyn! Brooklyn is not expanding!
Doctor in Brooklyn: It won’t be expanding for billions of years yet, Alvy. And we’ve gotta try to enjoy ourselves while we’re here!
–Woody Allen, Annie Hall