论文标题
违反大规模结构的等效原则
Equivalence principle violation from large scale structure
论文作者
论文摘要
我们探讨了等效原理与海森堡不确定性关系的概括（称为扩展不确定性原理）之间的相互作用，该关系包括大距离时空曲率的影响。具体而言，我们观察到，当经过修改的不确定性关系成立时，违反等价原理的弱公式，因为量子系统的惯性质量会依赖于位置，而重力质量则不受欢迎。为了获得上述结果，在存在扩展的不确定性原理的情况下，通过考虑狄拉克和克莱因 - 戈登方程的非相关性极限来分别分析纺纱和标量场。在这两种情况下，都发现惯性和重力质量之间的比率相同。
We explore the interplay between the equivalence principle and a generalization of the Heisenberg uncertainty relations known as extended uncertainty principle, that comprises the effects of spacetime curvature at large distances. Specifically, we observe that, when the modified uncertainty relations hold, the weak formulation of the equivalence principle is violated, since the inertial mass of quantum systems becomes position-dependent whilst the gravitational mass is left untouched. To obtain the above result, spinor and scalar fields are separately analyzed by considering the non-relativistic limit of the Dirac and the Klein-Gordon equations in the presence of the extended uncertainty principle. In both scenarios, it is found that the ratio between the inertial and the gravitational mass is the same.
