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Which is the connection between quantum physics and general relativity (i.e. gravity)? Despite the various proposed Quantum Gravity theories, it is not yet clear if gravity should indeed be quantized. Actually, there are proposals going in the opposite direction, i.e. to gravitize quantum physics, or even models where gravity is an emergent phenomenon from quantum collapse. At the other side of the spectrum, Quantum Theory itself faces the “measurement problem”, expressed by the Schroedinger’s cat paradox, which received numerous possible solutions, including the collapse models, some of which connected with gravity. We plan to discuss in the framework of our workshop the interplay between Quantum Gravity and Quantum Collapse Models, in particular in relation to nuclear and atomic physics energy scale signatures for experiments in underground laboratories, which, thanks to their extreme precision, can test theories beyond the Standard Model facing the clash between quantum theory and gravity.