This is an article about #generalRelativity , without anything quantum. From daily experience, we know that every object has a mass, but thinking more closely, the parameter we call mass actually appears in different ways in #physics, and it is not a priory clear how they are logically related. Einstein's famous thought experiment was about the "falling elevator", that is, if you are in a box and can't look outside, you can not distinguish whether you fall freely, or you are located far away from a planet where there is no gravitational field. This "weak equivalence principle" asserts the equivalence between "inertial mass", the parameter which determines how hard it is to accelerate something, and "passive gravitational mass", the parameter that determines how strongly a gravitational field acts on an object.
But there is a third type of mass, the "active gravitational mass", which determines how much gravitational field is generated by an object. The "strong equivalence principle" asserts that all three masses are the same.
The present article demonstrates that, as far as classical celestial mechanics is concerned, the strong equivalence principle can not been distinguished from the weak one. That is, the observed motion of celestial bodies can already be explained by the weak equivalence principle, regardless of whether the strong one holds or not.
I don't know what the current state of affairs is in that question, in particular regarding quantum theory.
https://link.springer.com/article/10.1007/BF01889417

Galilei invariance, action-reaction principle, and center of mass theorem - Foundations of Physics
The Galilei invariance of classical dynamics does not automatically imply the third Newtonian axiom and the center of mass theorem. For the deduction of these theorems from Galilei invariance we must have, generally, a “kinematical potential” (Helmholtz) and a “potential function” (Clausius), respectively. In celestial mechanics it is possible to have conservation of the motion of the center of gravity but not of the mass center. In this case, the active and the passive masses are different quantities.



