PP06 A Dimensional Analysis of the Dimensionless Fine Structure Constant

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A Dimensional Analysis of the Dimensionless Fine Structure Constant

Martin Gibson, December 14, 2010

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A Dimensional Analysis of the Dimensionless Fine Structure Constant

We can remove some of the mystery and the mysticism surrounding the fine structure constant, a, by employing the following dimensional and functional analysis. Clearly, the dimensionless context of a is due to the fact that it is a ratio of two measurements/computations of like dimensionality. It is therefore itself a factor in the coefficient of one of those dimensional structures, which we might surmise includes the dimension of time as in an impulse or force.