Let us consider an example of energy in the Earth's gravitational field.
If we put a ball somewhere in this field, the ball starts to accelerate due to the gravitational force exerted upon it.
Gravitational potential energy (GPE) is converted into kinetic energy. But, why does this GPE seem to exist only when I introduce the ball into the gravitational field? Am I creating this GPE somewhere?
Also, for my second question: If the gravitational field does work in accelerating the ball, then it will have to lose energy in order to do this work. Where does all this required energy come from?
From all this thinking, I come to the conclusion that a field is some sort of wizardy with an infinite amount of energy that can be transferred to objects placed in it. I am confused - I've been taught that energy cannot be created.
Where did the Gravitational Potential Energy (and its subsequent conversion into kinetic energy) come from in this case? And more broadly, where do the other types of potential energy come from after placing appropriately interacting objects in those fields (e.g. electrical, magnetic, weak, and strong fields)?