Abstract
Pauli exclusion principle (PEP) violations induced by space-time noncommutativity, a class of universality for several models of quantum gravity, are investigated by the VIP-2 Lead experiment at the Gran Sasso underground National Laboratory of INFN. The VIP-2 Lead experimental bound on the noncommutative space-time scale $\mathrm{\ensuremath{\Lambda}}$ excludes $\ensuremath{\theta}$-Poincar\'e far above the Planck scale for non anishing ``electriclike'' components of ${\ensuremath{\theta}}_{\ensuremath{\mu}\ensuremath{\nu}}$, and up to $6.9\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}2}$ Planck scales if they are null. Therefore, this new bound represents the tightest one so far provided by atomic transitions tests. This result strongly motivates high sensitivity underground x-ray measurements as critical tests of quantum gravity and of the very microscopic space-time structure.
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