Tests of Pauli exclusion principle violations from noncommutative quantum gravity

We review the main recent progresses in noncommutative space–time phenomenology in underground experiments. A popular model of noncommutative space–time is θ-Poincar´e model, based on the Groenewold–Moyal plane algebra. This model predicts a violation of the spin-statistic theorem, in turn implying an energy and angular dependent violation of the Pauli exclusion principle. Pauli exclusion principle violating transitions in nuclear and atomic systems can be tested with very high accuracy in underground laboratory experiments such as DAMA/LIBRA and VIP(2). In this paper we derive that the θPoincar´e model can be already ruled-out until the Planck scale, from nuclear transitions tests by DAMA/LIBRA experiment.