Does E=mc^2 apply to gravitational potential energy?

[vanhees71]

Note that these energy levels are energy levels of bound states in a "potential well" created with a mirror. So measurements of these energy levels are not measurements of "gravitational time dilation" for neutrons. They are measurements of whether the gravitational potential works like any other potential in the Schrödinger equation to determine bound state energy levels.

Exactly, but wasn't this the point of the debate? Perhaps I don't understand, what the issue is here... Of course, I've not claimed that this has anything to do with time dilation. It's just a non-relativistic model after all.

 

[PeterDonis]

wasn't this the point of the debate?

No. The poster I was responding to was claiming that that experiment was a measurement of gravitational time dilation for neutrons. As you agree, it isn't.

 

[vanhees71]

Of course not...