We review the main recent progresses in noncommutative space–time phenomenology in underground experiments. A popular model of noncommutative space–time is [Formula: see text]-Poincaré 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 [Formula: see text]-Poincaré model can be already ruled-out until the Planck scale, from nuclear transitions tests by DAMA/LIBRA experiment.

中文翻译：

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非对易量子引力违反泡利不相容原理的检验

我们回顾了地下实验中非对易时空现象学的主要最新进展。一个流行的非交换时空模型是 [公式：见正文]-Poincaré 模型，它基于 Groenewold-Moyal 平面代数。该模型预测违反自旋统计定理，进而暗示能量和角度相关违反泡利不相容原理。在 DAMA/LIBRA 和 VIP(2) 等地下实验室实验中，可以非常准确地测试违反核和原子系统跃迁的泡利不相容原理。在本文中，我们从 DAMA/LIBRA 实验的核跃迁测试中推导出 [公式：见正文]-Poincaré 模型在普朗克尺度之前已经被排除。