K.A.Tomilin. Fine-structure constant and dimension analysis // European J. of Physics, 1999, vol.20, 5.

 

Dimension analysis of the formula of fine-structure constant does not provide evidence that one of the constants c, h, or e is not fundamental. Natural systems of units based on velocity of light c, Planck constant h, and electric charge e are possible and prospective for quantum metrology. In these systems, coefficient in Coulomb law is numerically equal to the fine-structure constant 1/137.