The fine-structure constant a includes the speed of light as given by alpha = (1/4 pi epsilon (o)), It is shown here that, following a TH epsilon mu formalism, interpreting the permittivity epsilon (o) and permeability mu (0) of free space under Lorentz local and position invariance, this is not the case. The result is a new expression, alpha = (1/4 pi )e(2)/h, in a new system of units, for the charge that preserves local and position invariance. Hence the speed of light does not explicitly enter in the constitution of the fine-structure constant. The new expressions for Maxwell's equations are derived and some cosmological implications discussed.