This paper develops the theoretical ratio of the gravitational force to electromagnetic force between two electrons. I refer to this ratio as the ggee ratio. The ggee_theory ratio equals the product of a factor multiplied by alpha².

The factor portion of the calculation comes from an unusual source. An underlying model posits a metaphysical structure of space and of the electron. A rational number solution to the geometry of the model leads directly to the factor. This solution emerges completely independently from the ggee ratio it produces. The rational factor seems to be an exact solution.

The precision of ggee normally depends on the precision of G. The precision of ggee developed depends on the precision of alpha². Using Codata values for 2018, ggee_codata = 2.400610(54)E-43 and ggee_theory = 2.40071068266(72)E-43. The theoretical value is 1.85 sigma greater than the Codata derived value.

The gravitational constant, G, has a history of disparate value ranges. A deviation of 1.85 sigma may fall into an acceptable range more so than would normally be the case.