论文标题
普遍的不确定性原则，经典力学和一般相对论
Generalized Uncertainty Principle, Classical Mechanics, and General Relativity
论文作者
论文摘要
普遍的不确定性原理（GUP）已直接应用于给定时空上（宏观）测试体的运动，以便对牛顿力学或一般相对论预测的经典轨道进行校正。这些校正通常违反了等效原则。 GUP还通过将GUP修饰的Hawking温度与背景度量的变形联系起来，间接应用于重力源。这种变形的背景度量标准决定了新的地球运动动作，而不会违反等效原理。我们在这里指出，与实验边界相比，这两种效果是相互排斥的。此外，前者源于从错误的经典典型换向器的经典限制获得的修改后的泊松支架。
The Generalized Uncertainty Principle (GUP) has been directly applied to the motion of (macroscopic) test bodies on a given space-time in order to compute corrections to the classical orbits predicted in Newtonian Mechanics or General Relativity. These corrections generically violate the Equivalence Principle. The GUP has also been indirectly applied to the gravitational source by relating the GUP modified Hawking temperature to a deformation of the background metric. Such a deformed background metric determines new geodesic motions without violating the Equivalence Principle. We point out here that the two effects are mutually exclusive when compared with experimental bounds. Moreover, the former stems from modified Poisson brackets obtained from a wrong classical limit of the deformed canonical commutators.
