Talk:Planck charge

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The equation for Planck charge was correct in the original version of the page, but someone changed it to an incorrect version. I've fixed it back to the original formula, and edited the text slightly.


It's easy to see which version is right from dimensional analysis. If you choose your units so that 4πε0 = 1 then Coulomb's law takes the form: F = \frac{q_1 q_2}{r^2}

Force is \frac{energy}{length}, so this formula has the following dimensions:

\frac{energy}{length} = \frac{charge^2}{length^2}

\rightarrow energy \times length = charge^2

\hbar has units of energy \times time, and c has units of \frac{length}{time}, so \hbar c has units of energy \times length to match charge2

The incorrect formula claimed the Planck charge squared was \frac{\hbar}{c}, but \frac{\hbar}{c} has units of \frac{energy \times time^2}{length} which clearly doesn't match the units of charge2 --Tim314 16:30, 11 February 2007 (UTC)

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