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

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arxiv 2212.04669 v1 pith:YNWGVKTU submitted 2022-12-09 hep-th gr-qchep-exhep-ph

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

classification hep-th gr-qchep-exhep-ph
keywords gravityleadquantumspace-timevip-2boundexperimentalnon-commutative
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 $\Lambda$ excludes $\theta$-Poincar\'e far above the Planck scale for non vanishing ``electric-like" components of $\theta_{\mu \nu}$, 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.

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