Entanglement and violation of the discrete symmetries in oscillating systems

We analyse how the self-gravitational interaction of a system consisted of identical mixed particles affects the probability oscillations of any single element of the system. Such a self-gravitational interaction induces a violation of the CPT-symmetry due to the breaking of the T-symmetry and the simultaneous preservation of the CP-symmetry. The violation of the T-symmetry could be traced back to the establishment of a non-vanishing entanglement among the different particles. Being a pure many-body effect, it scales with the system's size and, hence, could have played a key role in situations characterized by extremely high density as the first stages of the Universe or in the core of very dense systems. Next experiments based on Rydberg atoms confined in microtraps and optically manipulated could simulate the discussed effect.