Abstract
We study the probability oscillations of mixed particles in the presence of self gravitational interaction. We show that the presence of the parity leads to the violation of the time-reversal symmetry while the CP-symmetry is preserved hence inducing a CPT-symmetry violation. This violation is directly associated to the rising of the entanglement among the elements of the system that can be seen as a pure many-body effect scaling with the number of the elements in the system. This effect could have played a relevant role in the first stages of the universe or in core of very dense systems. Experiments based on Rydberg atoms confined in microtraps can simulate the mixing and the mutual interaction, and could allow to test the mechanism here presented.
Highlights
Since the difference between the masses is very small, weak perturbations can produce measurable deviations from vacuum oscillation frequencies
We have shown that the gravity in a self-interacting particles mixing system leads to the C P T violation
Since the gravitational interaction is additive, the C P T violation is proportional to the number of elements of the system and to its density
Summary
Since the difference between the masses is very small, weak perturbations can produce measurable deviations from vacuum oscillation frequencies. Gravity is considered as one of the possible sources of decoherence in flavor oscillation [19,20,21] that leads to many interesting effects like the C P T symmetry violation in particle mixing [22,23,24,25,26,27,28]. In all these papers the non-unitary evolution is introduced by considering a dissipator that generates a completely positive dynamics [29,30]. This is the well-known Pontecorvo formula [10] that describes the oscillation of a neutral particle in the vacuum
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