1. The problem statement, all variables and given/known data 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 2. Relevant equations [tex]2\alpha \hbar = \pi^2 \mu_0 c[/tex] 3. 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!!!