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arXiv 1709.04296physics.gen-ph
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用不变的最小速度检验洛伦兹对称性破坏

Testing Lorentz symmetry violation with an invariant minimum speed

Cláudio Nassif, A. C. Amaro de Faria, Rodrigo Francisco dos Santos

摘要:

本工作提出了一个实验测试的洛伦兹不变性破坏在红外(IR)制度的一个不变的最小速度在时空和它的影响时,一个原子钟给定的时间由一个特定的放射性单原子(例如:同位素$Na^{25}$)是用于像偶极气体$Na^{23}K^{40}$这样的超冷气体的温度计。因此,根据变形狭义相对论(DSR),即所谓的对称狭义相对论(SSR),其中在亚原子世界中出现不变的最小速度$V$,人们期望在与超冷气体的热平衡中接近$V$移动的这种时钟的适当时间相对于实验室中给出的不适当时间被扩张,即,对于实验室中的观察者来说,在超冷系统中的适当时间比不适当时间流逝得更快,因此导致所谓的{ \it适当时间膨胀},使得超冷放射性样品(例如:$Na^{25}$)的原子衰变速率变得大于室温下相同样品的衰变速率。这意味着抑制放射性样品的半衰期时间,该样品由美国宇航局在冷原子实验室(CAL)中研究的超冷偶极气体云热化。

英文摘要:

This work presents an experimental test of Lorentz invariance violation in the infrared (IR) regime by means of an invariant minimum speed in the spacetime and its effects on the time when an atomic clock given by a certain radioactive single-atom (e.g.: isotope $Na^{25}$) is a thermometer for a ultracold gas like the dipolar gas $Na^{23}K^{40}$. So, according to a Deformed Special Relativity (DSR) so-called Symmetrical Special Relativity (SSR), where there emerges an invariant minimum speed $V$ in the subatomic world, one expects that the proper time of such a clock moving close to $V$ in thermal equilibrium with the ultracold gas is dilated with respect to the improper time given in lab, i.e., the proper time at ultracold systems elapses faster than the improper one for an observer in lab, thus leading to the so-called {\it proper time dilation} so that the atomic decay rate of a ultracold radioactive sample (e.g: $Na^{25}$) becomes larger than the decay rate of the same sample at room temperature. This means a suppression of the half-life time of a radioactive sample thermalized with a ultracold cloud of dipolar gas to be investigated by NASA in the Cold Atom Lab (CAL).

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