Dimensionless mass-to-charge ratio of the electron

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SUMMARY

The dimensionless mass-to-charge ratio of the electron is calculated to be approximately 4.9 x 10-22 in a specific system of units. In SI units, the mass-to-charge ratio is 5.7 x 10-12 kg/C, derived from the electron mass of 9.11 x 10-31 kg and charge of 1.6 x 10-19 C. This discussion references calculations using Planck units and provides a link to further details in a relevant academic paper.

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Afonso Campos
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In SI units, the mass-to-charge ratio of the electron is

$$\frac{m_{e}}{|q_{e}|} = \frac{9.11 \times 10^{-31} \text{kg}}{1.6 \times 10^{-19} \text{C}} = 5.7 \times 10^{-12} \text{kg/C}.$$

In which system of units do we have the dimensionless mass-to-charge ratio

$$\frac{m_{e}}{|q_{e}|} \simeq 4.9 \times 10^{-22}?$$

For reference, see the text in [2] of page 6 of the paper https://arxiv.org/abs/1705.06287.
 
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