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## Homework Statement

There is not really a problem, just a question which i am about to ask. The known data is

[tex]\alpha[/tex] the fine structure constant

[tex]\hbar[/tex] Plancks constant

[tex]c[/tex] the speed of light

[tex]\mu[/tex] permeability

## Homework Equations

[tex]2\alpha \hbar = \pi^2 \mu_0 c[/tex]

## The Attempt at a Solution

A paper I downloaded a while back, but can't actually link to states this equation

[tex]2\alpha \hbar = \pi^2 \mu_0 c[/tex]

in a derivation. It seemed a little odd, are the dimensions right? I noticed all the data in this equation are actually made up of constants. Is it wise to say that when you deal with dimensionless objects, they are always constants (for a seperate question).

Thank you!!!