Author Correction: The multi-mode acoustic gravitational wave experiment: MAGE

Correction to: Scientific Reports https://doi.org/10.1038/s41598-023-35670-y, published online 30 June 2023

The original version of this Article contained errors.

Equation 4 was incorrectly given as:

$$\begin{array}{c}{S}_{h}^{+}\left(\omega \right){|}_{\omega ={\omega }_{\lambda }}=\sqrt{\frac{{k}_{b}{T}_{\lambda }{\omega }_{\lambda }}{{Q}_{\lambda }{M}_{\lambda }}}\left(\frac{1}{{\omega }_{\lambda }^{2}{h}_{0}\xi }\right).\end{array}$$

The correct Equation 4 appears below.

$${S}_{h}^{+}\left(\omega \right){|}_{\omega ={\omega }_{\lambda }}=\sqrt{\frac{4{k}_{b}{T}_{\lambda }{\omega }_{\lambda }}{{Q}_{\lambda }{M}_{\lambda }}}\left(\frac{1}{{\omega }_{\lambda }^{2}{h}_{0}\xi }\right).$$

In addition, in the Sensitivity to HFGWs section,

“Based on the discussions presented in Aggarwal et al⁸, and using the C_3,0,0 mode as an example, MAGE would be sensitive to a 0.004 ${M}_{\cdot }$ black hole merger, where ${M}_{\cdot }$ denotes the solar mass.”

now reads:

“Based on the discussions presented in Aggarwal et al⁸, and using the C_3,0,0 mode as an example, MAGE would be sensitive to a 0.0004 ${M}_{\odot }$, where ${M}_{\odot }$ is the solar mass.”

The original Article has been corrected.