Using the loop quantum gravity, based on polymer quantization, we will argue that the polymer length (like string length) can be several orders larger than the Planck length, and this can have low energy consequences. We will demonstrate that a short distance modification of a quantum system by polymer quantization and by string theoretical considerations can produce similar behavior. Moreover, it will be demonstrated that a family of different deformed Heisenberg algebras can produce similar low energy effects. We will analyze such polymer correction to a degenerate Fermi gases in a harmonic trap, and its polymer corrected thermodynamics.

中文翻译：

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圈量子引力的低能量后果

使用基于聚合物量子化的环量子引力，我们将认为聚合物长度（如弦长）可以比普朗克长度大几个数量级，这可能会产生低能量后果。我们将证明通过聚合物量化和弦理论考虑对量子系统进行短距离修改可以产生类似的行为。此外，将证明一系列不同的变形海森堡代数可以产生类似的低能量效应。我们将分析这种聚合物对谐波阱中简并费米气体的校正，及其聚合物校正的热力学。