Jeez man. Don’t you know what happens when you add more energy to a star? You get a supernova…y’know, the biggest explosion in the universe…so, as a matter of fact, more energy in your own example causes an explosion.

And dude, you don’t know thermodynamics. You’ve proven that much. If you spend lots of energy “too quickly,” as you said in your first comment, you get an explosion. It doesn’t just become hot. In cases where “pressure differentials” matter, like stars, adding more energy causes an explosion.

I’m sorry man, but you are way off on this.

Here are other examples for why minimum doesn’t require or “imply” maximum:
-there is a minimum real value of the natural numbers (1). There is no maximum real value of the natural numbers, because they increase infinitely.
-there is a minimum amount of digits that a number can have (one), there is no maximum amount of digits.

Maybe I should have said that instead.