论文标题
在chandrasekhar限制中，概括性不确定性原则
On the Chandrasekhar Limit in Generalized Uncertainty Principles
论文作者
论文摘要
许多天体物理学观察证实了白矮人的chandrasekhar极限。但是，如何从理论上依赖于其他比黑森的不确定性原则（通过某些量子重力理论预测的）模型并不是一项琐碎的任务。在此手稿中，我们将推导Chandrasekhar质量，假设在双重特殊相对论框架中提出的不确定性关系，既表现出最小的长度又表现出最大动量。我们将展示如何在海森伯格不确定性原则的极限子案例中重新选择渐近消失的半径：这是与原始Chandrasekhar的派生相同的行为，但是当假定更受欢迎的普遍不确定性原则时，这并非如此。我们将争辩说，这与这两个不同的广义不确定性原理的经典限制的差异有关，从而启发了此处考虑的修改不确定性参数的行为就像有限温度。还分析了最大动量在确保构型稳定性以及为退化电子气体提供有限压力方面的作用。
The Chandrasekhar limit for white dwarfs has been confirmed by many astrophysical observations. However, how to obtain it theoretically in models which rely on other-than-Heisenberg's uncertainty principles, which are predicted by some quantum gravity theories, is not a trivial task. In this manuscript, we will derive the Chandrasekhar mass assuming an uncertainty relation proposed in the framework of Doubly Special Relativity, exhibiting both a minimal length and a maximum momentum. We will show how to re-obtain an asymptotically vanishing radius for the star in the limiting subcase of the Heisenberg uncertainty principle: this is the same behavior as in the original Chandrasekhar's derivation, but not when the more popular Generalized Uncertainty Principle is assumed. We will argue that this is related to the difference in the classical limit of these two different generalized uncertainty principles, enlightening that the modified uncertainty parameter considered here behaves like a finite temperature. The role of a maximum momentum in guaranteeing the stability of the configuration, and in providing a finite pressure for the degenerate electrons' gas, is also analyzed.
