Experimental test of Non-Commutative Quantum Gravity by VIP-2 Lead

Abstract

Pauli Exclusion Principle (PEP) violations induced by space-time non-commutativity, 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 non-commutative space-time scale $\hat{I}›$ excludes $\hat{I}¸$-Poincaré far above the Planck scale for non vanishing ``electric-like" components of $\hat{I}{¸}_{\hat{I}¼\hat{I}½}$, and up to $6.9\cdot 10^{-2}$ 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.

13 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:2209.00074