论文标题

重力波的棒探测器中的普遍不确定性原理

Generalized uncertainty principle in bar detectors of gravitational waves

论文作者

Bhattacharyya, Sukanta, Gangopadhyay, Sunandan, Saha, Anirban

论文摘要

目前,引力波检测器达到了检测长度变化($Δl$),$ \ MATHCAL {O} \左右10^{ - 17} -10} -10^{ - 21} $米的灵敏度。最近,对无量纲参数$β_0$进行了更为严格的上行,并具有广义不确定性原理的效果,这对应于中间长度尺度$ l_ {im} = \ sqrt {β_0} l_ {pl} l_ {pl} l_ {pl} l_ {pl} \ sim 10^{ - 23} m $。因此,通过观察不久的将来,在此类共振检测器中观察声子模式的振动的响应来搜索普遍的不确定性原理是很明显的。因此,我们计算了这些检测器在广义不确定性原理框架中这些检测器上传入的重力波引起的共振频率和过渡速率。本演讲基于\ cite {sb2}中发布的工作。

At present the gravitational waves detectors achieve the sensitivity to detect the length variation ($δL$), $\mathcal{O} \approx 10^{-17}-10^{-21}$ meter. Recently a more stringent upperbound on the dimensionless parameter $β_0$, bearing the effect of generalized uncertainty principle has been given which corresponds to the intermediate length scale $l_{im}= \sqrt{β_0} l_{pl} \sim 10^{-23} m$. Hence it becomes quite obvious to search for the generalized uncertainty principle by observing the response of the vibrations of phonon modes in such resonant detectors in the near future. Therefore, we calculate the resonant frequencies and transition rates induced by the incoming gravitational waves on these detectors in the generalized uncertainty principle framework. This presentation is based on the work published in \cite{sb2}.

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