When Ego Is Permitted To Go...

From the post "Pound To Rescue Permittivity" dated 30 May 2016,

$\varepsilon_o=\cfrac{1}{2c^2ln(cosh(\pi))}=\cfrac{1}{2*299792458^2*ln(cosh(\pi))}=2.2704e(-18)$

Should the $\sqrt{3}$ factor also be applied?

$\varepsilon_o=2.2704e(-18)*\sqrt{3}$

$\varepsilon_o=3.9325e(-18)$

In case which, compared to the quoted value of $\varepsilon_o=8.8542e(-12)$,  we have

$\cfrac{8.8542e(-12)}{3.9325e(-18)}=2.251969e6$

Interestingly it is 2.20462 pound to a kg.

Maybe the pound is natural units and imperial; that $\varepsilon_o=3.9325e(-18)$ is per pound instead of per kg.

$\varepsilon_o$ can be redefined!