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We propose to deploy limits that arise from different tests of the PauliExclusion Principle in order: i) to provide theories of quantum gravity with anexperimental guidance; ii) to distinguish among the plethora of possible modelsthe ones that are already ruled out by current data; iii) to direct futureattempts to be in accordance with experimental constraints. We firstly reviewexperimental bounds on nuclear processes forbidden by the Pauli ExclusionPrinciple, which have been derived by several experimental collaborationsmaking use of different detector materials. Distinct features of theexperimental devices entail sensitivities on the constraints hitherto achievedthat may differ one another by several orders of magnitude. We show that withchoices of these limits, renown examples of flat noncommutative space-timeinstantiations of quantum gravity can be heavily constrained, and eventuallyruled out. We devote particular attention to the analysis of the$\kappa$-Minkowski and $\theta$-Minkowski noncommutative spacetimes. These aredeeply connected to some scenarios in string theory, loop quantum gravity andnoncommutative geometry. We emphasize that the severe constraints on thesequantum spacetimes, although cannot rule out theories of top-down quantumgravity to whom are connected in various way, provide a powerful limitations ofthose models that it will make sense to focus on in the future.

Testing Noncommutative Spacetimes and Violations of the Pauli Exclusion Principle with underground experiments