The problem isn't that they aren't tested, its that they are not believed.
And yes, the energy comes from someplace. It comes from higher dimensions.

There are so many instances where the ideas of newton and Einstein break down that they should be thrown out.

However, what usually happens is that "science" circles the wagons to defend their precious "laws".

From my view, science is an ever-shrinking field. And because of that, they will be gone in a generation or two. Our current science books will be used as door stops. They won't even be good for laughing at how stupid we used to be.