A no-go theorem on the nature of the gravitational field beyond quantum theory

Plan
- Introduction
-Theory independent framework.
The concept of GPT
-Theorem.
- Discussion of conditions
-Conclusion

Illustration of the experimental situation.
Two masses A and B are initially prepared
in a separable state.
The masses interact via the gravitational field G. After some time, the full state
becomes entangled.

Theorem
We consider two non-classical systems A and B, initially in a separable state, and some unknown field G. If, after some time t, entanglement between the systems A and B is observed, then the following statements are incompatible:
1.Subsystem independence of A and B;
2. A and B interact locally via the mediator G; 3. G is classical