Corrigendum: Dimensionally-dependent uncertainty relations, or why we (probably) won’t see micro-black holes at the LHC, even if large extra dimensions exist

A Corrigendum on
Dimensionally-dependent uncertainty relations, or why we (probably) won’t see micro-black holes at the LHC, even if large extra dimensions exist

by Lake MJ, Liang S-D and Watcharapasorn A (2023). Front. Astron. Space Sci. 10:1155667. doi: 10.3389/fspas.2023.1155667

In the published article, there were three errors. Equations 11–13 contained typos, which caused them to be mathematically incorrect.

Corrections have been made to Section 2: Equation 11 previously stated

${\mathcal{R}}_{\text{S}}\left(M\right)\simeq \frac{G_{4+n}M}{c^2}\simeq {\left(R_{\text{S}}\left(M\right)R_{\text{E}}\right)}^{\frac{1}{1+n}}.(1)$

The corrected formula is given as follows:

${\mathcal{R}}_{\text{S}}\left(M\right)\simeq {\left(\frac{G_{4+n}M}{c^2}\right)}^{\frac{1}{1+n}}\simeq {\left(R_{\text{S}}\left(M\right)R_{\text{E}}^n\right)}^{\frac{1}{1+n}}.(2)$

Equation 12 previously stated

$\mathcal{R}\left(M\right)\simeq {\left(R\left(M\right)R_{\text{E}}\right)}^{\frac{1}{1+n}}.(3)$

The corrected formula is given as follows:

$\mathcal{R}\left(M\right)\simeq {\left(R\left(M\right)R_{\text{E}}^n\right)}^{\frac{1}{1+n}}.(4)$

Equation 13 previously stated

${\mathcal{R}}_{\text{C}}\left(M\right)\simeq {\left(R_{\text{C}}\left(M\right)R_{\text{E}}\right)}^{\frac{1}{1+n}}\simeq R_{*}{\left(\frac{M_{\text{Pl}}}{M}\right)}^{\frac{1}{1+n}}.(5)$

The corrected formula is given as follows:

${\mathcal{R}}_{\text{C}}\left(M\right)\simeq {\left(R_{\text{C}}\left(M\right)R_{\text{E}}^n\right)}^{\frac{1}{1+n}}\simeq R_{*}{\left(\frac{M_{\text{Pl}}}{M}\right)}^{\frac{1}{1+n}}.(6)$

The authors apologize for these errors and state that they do not change the scientific conclusions of the article in any way. The original article has been updated.

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