The rest was pure hyperbole and not worth addressing....
Nooooooo. The potential is the largest when the curvature is the least.
What part of potential energy decreases as you go downhill do you fail to understand?
The curvature at the top of the hill is less than the curvature at the bottom of the hill. Likewise the gravitational force is less when the curvature is less.
As the curvature increases force increases and potential energy decreases.
How many times must you be shown with scientific definition after scientific definition that you are wrong.
The negative value means that work is done as potential energy is lost.
Potential energy - Wikipedia
“The negative sign follows the convention that work is gained from a loss of potential energy.”
Your belief that an object gains potential energy as it falls into a gravitational well is fiction.
They have told you this over and over and over....
“If an object falls from one point to another point inside a gravitational field, the force of gravity will do positive work on the object, and the gravitational potential energy will decrease by the same amount.”
They also told you about your infinity and your r=0.....
“Given that there is no reasonable criterion for preferring one particular finite r over another, there seem to be only two reasonable choices for the distance at which U becomes zero: r = 0 and r = infinity.
So potential energy is zero at r = 0 and at infinity. Because at infinity the curvature can be considered virtually zero as can the gravitational force.....
Everyone can see you all trying to duck and dodge actual science just because your egos are too big to just say, yes, I was wrong.....
Get used to it, it’s been happening since the first conversation. All this is doing is showing everyone you are ignoring the science to keep your incorrect personal beliefs alive......