It is indeed a temperature changes from one *greater than zero (Kelvin)* temperature to a lower temperature that is also greater than zero.
And what is it doing when it goes from 200 degrees K to 100 degrees K, due to a huge pressure drop? It a negative change in presuure anfd a negative change in temperature.
You don't like that. Okay.
There seems to be two fallacies in play here. First pressure and force are not the same idea, and secondly, a fall in something (temp, pressure, etc.) does not necessarily equate to a "negative" state, just a "less positive" one.
Semantics, the negative refers to the scalar chance in a state. Less positive means negative.
4 is less positive that five, but it is also 5-1=4 which is a negative change in the number line.
The picking of an arbitrary zero point seems to be related to the second fallacy in play, but the big mistake Guth made and your side is still making is equating pressure and force as one and the same idea. They are not. There is "force" in the Casimir effect that pushes the plates together, but there is no "negative pressure" in a positive pressure chamber.
The point is that gravity is attractive in nature there it is refered to as 'negative', I am not exactly sure what is the deal with the integral that you refuse to do for Ziggy, I can do integrals, although I might have to refresh my memory when I do trig related one. So if you do the integral that Ziggy suggested , what will the sign be ? Maybe he wanted you to find the differential, I can't recall.
It is not magic math, differentials have real world meaning as do integrals.
The vacum energy is what it , if you want to say that gravity is positive that is fine, if you make all attractive forces positive then you are making the repulive ones negative.
You have an object ion a
g gravitational field at a heigth of ten meters and you then move it to 5 meters, it will be at a lower potential energy.
So the scale is negative in terms of potential energy for that object.